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122131303320330 = 23256911963841507
BaseRepresentation
bin11011110001001111101000…
…111100110100101100001010
3121000102122020111222122220200
4123301033220330310230022
5112001444402122222310
61111430202435433030
734503460356406263
oct3361175074645412
9530378214878820
10122131303320330
1135a0765a849a67
1211845a46455776
13531bc17893c15
14222328813196a
15e1bdaeae09c0
hex6f13e8f34b0a

122131303320330 has 48 divisors (see below), whose sum is σ = 318000927707424. Its totient is φ = 32521215339360.

The previous prime is 122131303320329. The next prime is 122131303320347. The reversal of 122131303320330 is 33023303131221.

122131303320330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 1 + 3 + 0 + 3 + 320 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122131303320294 and 122131303320303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981858564 + ... + 981982943.

It is an arithmetic number, because the mean of its divisors is an integer number (6625019327238).

Almost surely, 2122131303320330 is an apocalyptic number.

122131303320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122131303320330 is an abundant number, since it is smaller than the sum of its proper divisors (195869624387094).

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

122131303320330 is a wasteful number, since it uses less digits than its factorization.

122131303320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963842211 (or 1963842208 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 122131303320330 its reverse (33023303131221), we get a palindrome (155154606451551).

The spelling of 122131303320330 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred three million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 691 1382 2073 3455 4146 6219 6910 10365 12438 20730 31095 62190 1963841507 3927683014 5891524521 9819207535 11783049042 17674573563 19638415070 29457622605 35349147126 58915245210 88372867815 176745735630 1357014481337 2714028962674 4071043444011 6785072406685 8142086888022 12213130332033 13570144813370 20355217220055 24426260664066 40710434440110 61065651660165 122131303320330