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31352933925313 = 71113232292041693
BaseRepresentation
bin1110010000011111011000…
…11111010100000111000001
311010000022101212120020020121
413020033230133110013001
513102141302041102223
6150403201120340241
76414113634121510
oct710175437240701
9133008355506217
1031352933925313
119a98782916860
1236244aa174681
131465752094990
147a56c0b8c677
15395865e3515d
hex1c83ec7d41c1

31352933925313 has 96 divisors (see below), whose sum is σ = 45523569450240. Its totient is φ = 20827218424320.

The previous prime is 31352933925301. The next prime is 31352933925329.

31352933925313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31352933925313 - 25 = 31352933925281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31352933928313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14335495 + ... + 16377187.

It is an arithmetic number, because the mean of its divisors is an integer number (474203848440).

Almost surely, 231352933925313 is an apocalyptic number.

It is an amenable number.

31352933925313 is a deficient number, since it is larger than the sum of its proper divisors (14170635524927).

31352933925313 is a wasteful number, since it uses less digits than its factorization.

31352933925313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041799 (or 2041776 counting only the distinct ones).

The product of its digits is 5904900, while the sum is 52.

The spelling of 31352933925313 in words is "thirty-one trillion, three hundred fifty-two billion, nine hundred thirty-three million, nine hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 7 11 13 23 29 77 91 143 161 203 253 299 319 377 529 667 1001 1771 2093 2233 2639 3289 3703 4147 4669 5819 6877 7337 8671 15341 23023 29029 40733 48139 51359 60697 75647 95381 107387 168751 199433 529529 667667 1181257 1396031 2041693 2193763 14291851 15356341 22458623 26542009 46958939 59209097 157210361 185794063 291962099 328712573 414463679 516548329 610466207 651300067 769718261 1080055597 1361809231 2043734693 3615838303 4273263449 4559100469 5388027827 6715128277 7560389179 8466900871 9532664617 11880611567 14040722761 14979901541 17703520003 31321612313 47005897939 59268306097 83164280969 98285059327 104859310787 123924640021 154447950371 194738720033 219251286191 344537735443 407180960069 1081135652597 1363171040231 2411764148101 2850266720483 4478990560759 31352933925313