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110212001213220 = 223351225611665263
BaseRepresentation
bin11001000011110010111011…
…001011101010101100100100
3112110020011102212020021012000
4121003302323023222230210
5103421203134302310340
61030222405553325300
732133361063222434
oct3103627313525444
9473204385207160
10110212001213220
1132131713511525
121043b9a8266830
134965c40a8b41a
141d30409c782c4
15cb1d01596d30
hex643cbb2eab24

110212001213220 has 96 divisors (see below), whose sum is σ = 342884785098240. Its totient is φ = 29389609543680.

The previous prime is 110212001213207. The next prime is 110212001213239. The reversal of 110212001213220 is 22312100212011.

110212001213220 is a `hidden beast` number, since 1 + 1 + 0 + 21 + 200 + 121 + 322 + 0 = 666.

It is a super-2 number, since 2×1102120012132202 (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 = 110212001213193 and 110212001213202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65350309 + ... + 67015571.

It is an arithmetic number, because the mean of its divisors is an integer number (3571716511440).

Almost surely, 2110212001213220 is an apocalyptic number.

110212001213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212001213220 is an abundant number, since it is smaller than the sum of its proper divisors (232672783885020).

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

110212001213220 is a wasteful number, since it uses less digits than its factorization.

110212001213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787842 (or 1787834 counting only the distinct ones).

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

Adding to 110212001213220 its reverse (22312100212011), we get a palindrome (132524101425231).

The spelling of 110212001213220 in words is "one hundred ten trillion, two hundred twelve billion, one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 122561 245122 367683 490244 612805 735366 1103049 1225610 1470732 1665263 1838415 2206098 2451220 3309147 3330526 3676830 4412196 4995789 5515245 6618294 6661052 7353660 8326315 9991578 11030490 13236588 14987367 16545735 16652630 19983156 22060980 24978945 29974734 33091470 33305260 44962101 49957890 59949468 66182940 74936835 89924202 99915780 149873670 179848404 224810505 299747340 449621010 899242020 204096298543 408192597086 612288895629 816385194172 1020481492715 1224577791258 1836866686887 2040962985430 2449155582516 3061444478145 3673733373774 4081925970860 5510600060661 6122888956290 7347466747548 9184333434435 11021200121322 12245777912580 18368666868870 22042400242644 27553000303305 36737333737740 55106000606610 110212001213220