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20112435112 = 23711223312739
BaseRepresentation
bin10010101110110010…
…110110011110101000
31220220200002120020011
4102232302312132220
5312142240410422
613123423141304
71311255610030
oct225662663650
956820076204
1020112435112
118590a44200
123a93744834
131b86a834a3
14d8b1d28c0
157caa7a077
hex4aecb67a8

20112435112 has 96 divisors (see below), whose sum is σ = 47579313600. Its totient is φ = 7801770240.

The previous prime is 20112435103. The next prime is 20112435127. The reversal of 20112435112 is 21153421102.

It is a super-2 number, since 2×201124351122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1572439 + ... + 1585177.

It is an arithmetic number, because the mean of its divisors is an integer number (495617850).

Almost surely, 220112435112 is an apocalyptic number.

20112435112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112435112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23789656800).

20112435112 is an abundant number, since it is smaller than the sum of its proper divisors (27466878488).

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

20112435112 is a wasteful number, since it uses less digits than its factorization.

20112435112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007 (or 12992 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 20112435112 its reverse (21153421102), we get a palindrome (41265856214).

The spelling of 20112435112 in words is "twenty billion, one hundred twelve million, four hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 233 242 308 466 484 616 847 932 968 1631 1694 1864 2563 3262 3388 5126 6524 6776 10252 12739 13048 17941 20504 25478 28193 35882 50956 56386 71764 89173 101912 112772 140129 143528 178346 197351 225544 280258 356692 394702 560516 713384 789404 980903 1121032 1541419 1578808 1961806 2968187 3082838 3923612 5936374 6165676 7847224 10789933 11872748 12331352 20777309 21579866 23745496 32650057 41554618 43159732 65300114 83109236 86319464 130600228 166218472 228550399 261200456 359150627 457100798 718301254 914201596 1436602508 1828403192 2514054389 2873205016 5028108778 10056217556 20112435112