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317212807002 = 23713223284481
BaseRepresentation
bin1001001110110110101…
…10110100111101011010
31010022210002212012222120
410213123112310331122
520144122434311002
6401420415202110
731626554241210
oct4473326647532
91108702765876
10317212807002
111125903a5a33
1251589b16336
1323bb3c41700
14114d31b8cb0
1583b88becbc
hex49db5b4f5a

317212807002 has 144 divisors (see below), whose sum is σ = 820751416128. Its totient is φ = 80022159360.

The previous prime is 317212807001. The next prime is 317212807057. The reversal of 317212807002 is 200708212713.

It is not an unprimeable number, because it can be changed into a prime (317212807001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3712602 + ... + 3797082.

It is an arithmetic number, because the mean of its divisors is an integer number (5699662612).

Almost surely, 2317212807002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317212807002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410375708064).

317212807002 is an abundant number, since it is smaller than the sum of its proper divisors (503538609126).

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

317212807002 is a wasteful number, since it uses less digits than its factorization.

317212807002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84565 (or 84529 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 317212807002 in words is "three hundred seventeen billion, two hundred twelve million, eight hundred seven thousand, two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 169 182 273 299 322 338 483 507 529 546 598 897 966 1014 1058 1183 1587 1794 2093 2366 3174 3549 3703 3887 4186 6279 6877 7098 7406 7774 11109 11661 12558 13754 20631 22218 23322 27209 41262 48139 54418 81627 84481 89401 96278 144417 163254 168962 178802 253443 268203 288834 506886 536406 591367 625807 1098253 1182734 1251614 1774101 1877421 1943063 2196506 3294759 3548202 3754842 3886126 5829189 6589518 7687771 11658378 13601441 14277289 15375542 23063313 25259819 27202882 28554578 40804323 42831867 44690449 46126626 50519638 75779457 81608646 85663734 89380898 99941023 134071347 151558914 176818733 199882046 268142694 299823069 312833143 328377647 353637466 530456199 580975837 599646138 625666286 656755294 938499429 985132941 1060912398 1161951674 1742927511 1876998858 1970265882 2298643529 3485855022 4066830859 4597287058 6895930587 7552685881 8133661718 12200492577 13791861174 15105371762 22658057643 24400985154 45316115286 52868801167 105737602334 158606403501 317212807002