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106400100111162 = 231113246835024083
BaseRepresentation
bin11000001100010100110100…
…001010111101001100111010
3111221201202020220210121212120
4120030110310022331030322
5102421224401112024122
61014143310423422110
731261103445401634
oct3014246412751472
9457652226717776
10106400100111162
11309a2035738a20
12bb250762b4936
13474a642796340
141c3bb141c3a54
15c47a9dd2875c
hex60c5342bd33a

106400100111162 has 64 divisors (see below), whose sum is σ = 250013210743296. Its totient is φ = 29761054061760.

The previous prime is 106400100111161. The next prime is 106400100111187. The reversal of 106400100111162 is 261111001004601.

It is a super-2 number, since 2×1064001001111622 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106400100111161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18665973 + ... + 23690055.

It is an arithmetic number, because the mean of its divisors is an integer number (3906456417864).

Almost surely, 2106400100111162 is an apocalyptic number.

106400100111162 is an abundant number, since it is smaller than the sum of its proper divisors (143613110632134).

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

106400100111162 is a wasteful number, since it uses less digits than its factorization.

106400100111162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048795.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 106400100111162 its reverse (261111001004601), we get a palindrome (367511101115763).

The spelling of 106400100111162 in words is "one hundred six trillion, four hundred billion, one hundred million, one hundred eleven thousand, one hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 24683 49366 74049 148098 271513 320879 543026 641758 814539 962637 1629078 1925274 3529669 5024083 7059338 10048166 10589007 15072249 21178014 30144498 55264913 65313079 110529826 130626158 165794739 195939237 331589478 391878474 718443869 1436887738 2155331607 4310663214 124009440689 248018881378 372028322067 744056644134 1364103847579 1612122728957 2728207695158 3224245457914 4092311542737 4836368186871 8184623085474 9672736373742 17733350018527 35466700037054 53200050055581 106400100111162