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100252966146 = 2383201311177
BaseRepresentation
bin101110101011110001…
…0101101110100000010
3100120202210122100120020
41131113202231310002
53120304224404041
6114020000554310
710146235103064
oct1352742556402
9316683570506
10100252966146
1139576205333
121751a622996
1395b9050258
144bd08ad734
15291b557866
hex17578add02

100252966146 has 16 divisors (see below), whose sum is σ = 202921667424. Its totient is φ = 33015032864.

The previous prime is 100252966141. The next prime is 100252966159. The reversal of 100252966146 is 641669252001.

It is a junction number, because it is equal to n+sod(n) for n = 100252966098 and 100252966107.

It is not an unprimeable number, because it can be changed into a prime (100252966141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100655091 + ... + 100656086.

It is an arithmetic number, because the mean of its divisors is an integer number (12682604214).

Almost surely, 2100252966146 is an apocalyptic number.

100252966146 is an abundant number, since it is smaller than the sum of its proper divisors (102668701278).

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

100252966146 is a wasteful number, since it uses less digits than its factorization.

100252966146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201311265.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 100252966146 in words is "one hundred billion, two hundred fifty-two million, nine hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 83 166 249 498 201311177 402622354 603933531 1207867062 16708827691 33417655382 50126483073 100252966146