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351105052242132 = 223241017237777461
BaseRepresentation
bin100111111010101000000001…
…1111010101111000011010100
31201001011022111202212010000200
41033311100003322233003110
5332010001121333222012
63242423233450140500
7133645334334246516
oct11765200372570324
91631138452763020
10351105052242132
11a19668a8778921
1233466617721730
13120bb0ab523736
14629b80a4c7bb6
152a8d0ac7953dc
hex13f5403eaf0d4

351105052242132 has 36 divisors (see below), whose sum is σ = 887537190204756. Its totient is φ = 117032163592320.

The previous prime is 351105052242127. The next prime is 351105052242143. The reversal of 351105052242132 is 231242250501153.

351105052242132 is a `hidden beast` number, since 3 + 5 + 1 + 10 + 50 + 522 + 42 + 1 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324269191890576 + 26835860351556 = 18007476^2 + 5180334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117412119 + ... + 120365342.

It is an arithmetic number, because the mean of its divisors is an integer number (24653810839021).

Almost surely, 2351105052242132 is an apocalyptic number.

It is an amenable number.

351105052242132 is an abundant number, since it is smaller than the sum of its proper divisors (536432137962624).

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

351105052242132 is a wasteful number, since it uses less digits than its factorization.

351105052242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237818488 (or 237818483 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 351105052242132 in words is "three hundred fifty-one trillion, one hundred five billion, fifty-two million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41017 82034 123051 164068 246102 369153 492204 738306 1476612 237777461 475554922 713332383 951109844 1426664766 2139997149 2853329532 4279994298 8559988596 9752918117837 19505836235674 29258754353511 39011672471348 58517508707022 87776263060533 117035017414044 175552526121066 351105052242132