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231331323133132 = 2223101199469126669
BaseRepresentation
bin110100100110010100000101…
…010101110011110011001100
31010100002001120122200022002121
4310212110011111303303030
5220310113022210230012
62140000050455502324
766504064560643315
oct6446240525636314
91110061518608077
10231331323133132
1167789077128082
1221b416880879a4
139c105b1034b61
14411a6d25c760c
151bb26d2b26a07
hexd26505573ccc

231331323133132 has 96 divisors (see below), whose sum is σ = 428864865408000. Its totient is φ = 108963527904000.

The previous prime is 231331323133123. The next prime is 231331323133151.

231331323133132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2313313231331322 (a number of 30 digits) contains 22 as substring.

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, 8674152294 + ... + 8674178962.

It is an arithmetic number, because the mean of its divisors is an integer number (4467342348000).

Almost surely, 2231331323133132 is an apocalyptic number.

It is an amenable number.

231331323133132 is a deficient number, since it is larger than the sum of its proper divisors (197533542274868).

231331323133132 is a wasteful number, since it uses less digits than its factorization.

231331323133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31687 (or 31685 counting only the distinct ones).

The product of its digits is 52488, while the sum is 34.

The spelling of 231331323133132 in words is "two hundred thirty-one trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 23 46 92 101 199 202 398 404 796 2323 4577 4646 4691 9154 9292 9382 18308 18764 20099 26669 40198 53338 80396 106676 107893 215786 431572 462277 473791 613387 924554 933509 947582 1226774 1849108 1867018 1895164 2453548 2693569 3734036 5307131 5387138 10614262 10774276 10897193 21228524 21470707 21794386 42941414 43588772 61952087 85882828 94284409 122064013 123904174 125104279 188568818 244128026 247808348 250208558 377137636 488256052 500417116 536020231 1072040462 2144080924 2168541407 2877398417 4337082814 5754796834 8674165628 11509593668 12328465313 12635532179 24656930626 24895751521 25271064358 49313861252 49791503042 50542128716 99583006084 290617240117 572602284983 581234480234 1145204569966 1162468960468 2290409139932 2514470903621 5028941807242 10057883614484 57832830783283 115665661566566 231331323133132