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100211011122 = 23313721169011
BaseRepresentation
bin101110101010100001…
…0101010111000110010
3100120122212200211002110
41131111002222320302
53120213004323442
6114011501430150
710145215353165
oct1352502527062
9316585624073
10100211011122
1139554559962
121750856b356
1395b04508b1
144bc90abadc
152917a1b69c
hex17550aae32

100211011122 has 64 divisors (see below), whose sum is σ = 213488898048. Its totient is φ = 31302936000.

The previous prime is 100211011099. The next prime is 100211011127. The reversal of 100211011122 is 221110112001.

100211011122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100211011098 and 100211011107.

It is not an unprimeable number, because it can be changed into a prime (100211011127) 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, 1417597 + ... + 1486607.

It is an arithmetic number, because the mean of its divisors is an integer number (3335764032).

Almost surely, 2100211011122 is an apocalyptic number.

100211011122 is an abundant number, since it is smaller than the sum of its proper divisors (113277886926).

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

100211011122 is a wasteful number, since it uses less digits than its factorization.

100211011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69295.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211011122 its reverse (221110112001), we get a palindrome (321321123123).

The spelling of 100211011122 in words is "one hundred billion, two hundred eleven million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 211 222 422 633 1147 1266 2294 3441 6541 6882 7807 13082 15614 19623 23421 39246 46842 69011 138022 207033 242017 414066 484034 726051 1452102 2139341 2553407 4278682 5106814 6418023 7660221 12836046 14561321 15320442 29122642 43683963 79155617 87367926 158311234 237466851 451400951 474933702 538768877 902801902 1077537754 1354202853 1616306631 2708405706 3232613262 16701835187 33403670374 50105505561 100211011122