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31300002097 = 721333183113
BaseRepresentation
bin11101001001101000…
…000010000100110001
32222210100110211222221
4131021220002010301
51003100300031342
622213511401041
72155433425300
oct351150020461
988710424887
1031300002097
1112302042931
126096383181
132c4a801000
14172cd6a437
15c32d19a67
hex749a02131

31300002097 has 96 divisors (see below), whose sum is σ = 41570565120. Its totient is φ = 23467691520.

The previous prime is 31300002091. The next prime is 31300002101. The reversal of 31300002097 is 79020000313.

It is not a de Polignac number, because 31300002097 - 219 = 31299477809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31300002091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276991113 + ... + 276991225.

It is an arithmetic number, because the mean of its divisors is an integer number (433026720).

Almost surely, 231300002097 is an apocalyptic number.

It is an amenable number.

31300002097 is a deficient number, since it is larger than the sum of its proper divisors (10270563023).

31300002097 is a wasteful number, since it uses less digits than its factorization.

31300002097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 31300002097 in words is "thirty-one billion, three hundred million, two thousand, ninety-seven".

Divisors: 1 7 13 31 49 83 91 113 169 217 403 581 637 791 1079 1183 1469 1519 2197 2573 2821 3503 4067 5239 5537 7553 8281 9379 10283 14027 15379 18011 19097 19747 24521 33449 36673 45539 52871 65653 68107 71981 98189 107653 121927 126077 133679 171647 182351 234143 248261 256711 290749 318773 434837 459571 476749 592007 687323 853489 935753 1276457 1585051 1639001 1737827 2035243 2231411 3043859 3337243 3779737 4144049 5652881 5974423 7696091 8935199 11095357 12164789 14246701 20605663 21307013 26458159 29008343 39570167 49136581 53872637 77667499 144239641 185207113 276991169 343956067 377108459 638775553 1009677487 2407692469 4471428871 31300002097