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201112123210020 = 2232511372745183227
BaseRepresentation
bin101101101110100100010000…
…101010011111100100100100
3222101002010112122122201000200
4231232210100222133210210
5202330010112020210040
61551421344533310500
760234604615526631
oct5556442052374444
9871063478581020
10201112123210020
115909819962a480
121a680a63195430
13882aa3a8aa9b9
143793c4321d188
15183b5c3eec630
hexb6e910a9f924

201112123210020 has 144 divisors (see below), whose sum is σ = 683484739374528. Its totient is φ = 47436766145280.

The previous prime is 201112123209847. The next prime is 201112123210021. The reversal of 201112123210020 is 20012321211102.

201112123210020 is a `hidden beast` number, since 2 + 0 + 111 + 212 + 321 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×2011121232100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201112123209975 and 201112123210002.

It is not an unprimeable number, because it can be changed into a prime (201112123210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372518354 + ... + 1372664873.

It is an arithmetic number, because the mean of its divisors is an integer number (4746421801212).

Almost surely, 2201112123210020 is an apocalyptic number.

201112123210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112123210020 is an abundant number, since it is smaller than the sum of its proper divisors (482372616164508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201112123210020 is a wasteful number, since it uses less digits than its factorization.

201112123210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745183290 (or 2745183285 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201112123210020 its reverse (20012321211102), we get a palindrome (221124444421122).

The spelling of 201112123210020 in words is "two hundred one trillion, one hundred twelve billion, one hundred twenty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 2745183227 5490366454 8235549681 10980732908 13725916135 16471099362 24706649043 27451832270 30197015497 32942198724 41177748405 49413298086 54903664540 60394030994 82355496810 90591046491 98826596172 101571779399 120788061988 123533245215 150985077485 164710993620 181182092982 203143558798 247066490430 271773139473 301970154970 304715338197 362364185964 406287117596 452955232455 494132980860 507858896995 543546278946 603940309940 609430676394 905910464910 914146014591 1015717793990 1087092557892 1117289573389 1218861352788 1358865697365 1523576690985 1811820929820 1828292029182 2031435587980 2234579146778 2717731394730 3047153381970 3351868720167 3656584058364 4469158293556 4570730072955 5435462789460 5586447866945 6094306763940 6703737440334 9141460145910 10055606160501 11172895733890 13407474880668 16759343600835 18282920291820 20111212321002 22345791467780 33518687201670 40222424642004 50278030802505 67037374403340 100556061605010 201112123210020