Search a number
-
+
200101120120020 = 22357268061605483
BaseRepresentation
bin101101011111110110101100…
…001011110001010011010100
3222020111110222002222101121210
4231133312230023301103110
5202211424043222320040
61545325104024341420
760101554203205200
oct5537665413612324
9866443862871553
10200101120120020
1158838454756179
121a538b30314870
1387865bab75222
14375ad3573db00
1518201517d6480
hexb5fdac2f14d4

200101120120020 has 72 divisors (see below), whose sum is σ = 651757934114784. Its totient is φ = 45737398883904.

The previous prime is 200101120119973. The next prime is 200101120120103. The reversal of 200101120120020 is 20021021101002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200101120119978 and 200101120120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34030799802 + ... + 34030805681.

It is an arithmetic number, because the mean of its divisors is an integer number (9052193529372).

Almost surely, 2200101120120020 is an apocalyptic number.

200101120120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101120120020 is an abundant number, since it is smaller than the sum of its proper divisors (451656813994764).

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

200101120120020 is a wasteful number, since it uses less digits than its factorization.

200101120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68061605509 (or 68061605500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200101120120020 its reverse (20021021101002), we get a palindrome (220122141221022).

The spelling of 200101120120020 in words is "two hundred trillion, one hundred one billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 68061605483 136123210966 204184816449 272246421932 340308027415 408369632898 476431238381 680616054830 816739265796 952862476762 1020924082245 1361232109660 1429293715143 1905724953524 2041848164490 2382156191905 2858587430286 3335018668667 4083696328980 4764312383810 5717174860572 6670037337334 7146468575715 9528624767620 10005056006001 13340074674668 14292937151430 16675093343335 20010112012002 28585874302860 33350186686670 40020224024004 50025280030005 66700373373340 100050560060010 200101120120020