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107163106232 = 237213101320759
BaseRepresentation
bin110001111001101101…
…0110011101110111000
3101020121101021211201112
41203303122303232320
53223432223344412
6121121405135452
710512413242100
oct1436332635670
9336541254645
10107163106232
11414a1863906
121892885a588
13a14a852c40
145288518200
152bc3021722
hex18f36b3bb8

107163106232 has 96 divisors (see below), whose sum is σ = 251976160800. Its totient is φ = 42350305536.

The previous prime is 107163106231. The next prime is 107163106241. The reversal of 107163106232 is 232601361701.

It is a super-2 number, since 2×1071631062322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107163106231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5151869 + ... + 5172627.

It is an arithmetic number, because the mean of its divisors is an integer number (2624751675).

Almost surely, 2107163106232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107163106232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125988080400).

107163106232 is an abundant number, since it is smaller than the sum of its proper divisors (144813054568).

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

107163106232 is a wasteful number, since it uses less digits than its factorization.

107163106232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21805 (or 21794 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 107163106232 its reverse (232601361701), we get a palindrome (339764467933).

The spelling of 107163106232 in words is "one hundred seven billion, one hundred sixty-three million, one hundred six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1013 1274 2026 2548 4052 5096 7091 8104 13169 14182 20759 26338 28364 41518 49637 52676 56728 83036 92183 99274 105352 145313 166072 184366 198548 269867 290626 368732 397096 539734 581252 645281 737464 1017191 1079468 1162504 1290562 1889069 2034382 2158936 2581124 3778138 4068764 5162248 7556276 8137528 13223483 15112552 21028867 26446966 42057734 52893932 84115468 105787864 147202069 168230936 273375271 294404138 546750542 588808276 1030414483 1093501084 1177616552 1913626897 2060828966 2187002168 3827253794 4121657932 7654507588 8243315864 13395388279 15309015176 26790776558 53581553116 107163106232