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2010014100102 = 2329439233311279
BaseRepresentation
bin11101001111111110001…
…011010010101010000110
321010011012100010211210110
4131033332023102222012
5230413002102200402
64135215425533450
7265135010644131
oct35177613225206
97104170124713
102010014100102
11705495616478
122856797a4286
1311770b14a6a8
146d3dc843218
153744222356c
hex1d3fe2d2a86

2010014100102 has 64 divisors (see below), whose sum is σ = 4170279168000. Its totient is φ = 645093660288.

The previous prime is 2010014100097. The next prime is 2010014100113.

It is a happy number.

2010014100102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 178202899 + ... + 178214177.

It is an arithmetic number, because the mean of its divisors is an integer number (65160612000).

Almost surely, 22010014100102 is an apocalyptic number.

2010014100102 is an abundant number, since it is smaller than the sum of its proper divisors (2160265067898).

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

2010014100102 is a wasteful number, since it uses less digits than its factorization.

2010014100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14085.

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 2010014100102 in words is "two trillion, ten billion, fourteen million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 29 58 87 174 439 878 1317 2333 2634 4666 6999 11279 12731 13998 22558 25462 33837 38193 67657 67674 76386 135314 202971 327091 405942 654182 981273 1024187 1962546 2048374 3072561 4951481 6145122 9902962 14854443 26313907 29701423 29708886 52627814 59402846 78941721 89104269 143592949 157883442 178208538 287185898 430778847 763103303 861557694 1526206606 2289309909 4578619818 11551805173 23103610346 34655415519 69310831038 335002350017 670004700034 1005007050051 2010014100102