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113122430121222 = 232178337191197631
BaseRepresentation
bin11001101110001001011110…
…010000110111010100000110
3112211112101202122200121200100
4121232021132100313110012
5104311344214102334342
61040331421005424530
732553553162604604
oct3156113620672406
9484471678617610
10113122430121222
1133053a53787035
121082ba74b6b146
134b175265bc572
141dd1224c00874
15d12892432e4c
hex66e25e437506

113122430121222 has 96 divisors (see below), whose sum is σ = 262713705246720. Its totient is φ = 35052349812480.

The previous prime is 113122430121199. The next prime is 113122430121223. The reversal of 113122430121222 is 222121034221311.

113122430121222 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 2 + 430 + 1 + 2 + 1 + 222 = 666.

It is a super-2 number, since 2×1131224301212222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113122430121223) 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, 93856347 + ... + 95053977.

It is an arithmetic number, because the mean of its divisors is an integer number (2736601096320).

Almost surely, 2113122430121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113122430121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131356852623360).

113122430121222 is an abundant number, since it is smaller than the sum of its proper divisors (149591275125498).

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

113122430121222 is a wasteful number, since it uses less digits than its factorization.

113122430121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201458 (or 1201455 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 113122430121222 its reverse (222121034221311), we get a palindrome (335243464342533).

The spelling of 113122430121222 in words is "one hundred thirteen trillion, one hundred twenty-two billion, four hundred thirty million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2822 3719 4233 7438 8466 11157 12699 22314 25398 33471 63223 66942 126446 189669 308677 379338 569007 617354 926031 1138014 1197631 1852062 2395262 2778093 3592893 5247509 5556186 7185786 10495018 10778679 15742527 20359727 21557358 31485054 40719454 47227581 61079181 94455162 99403373 122158362 183237543 198806746 298210119 366475086 596420238 894630357 1689857341 1789260714 3379714682 4453989689 5069572023 8907979378 10139144046 13361969067 15208716069 26723938134 30417432138 40085907201 75717824713 80171814402 151435649426 227153474139 369681144187 454306948278 681460422417 739362288374 1109043432561 1362920844834 2218086865122 3327130297683 6284579451179 6654260595366 12569158902358 18853738353537 37707476707074 56561215060611 113122430121222