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31297215807 = 33111341211937
BaseRepresentation
bin11101001001011101…
…011001110100111111
32222210011020021221000
4131021131121310333
51003044041401212
622213331541343
72155400642064
oct351135316477
988704207830
1031297215807
111230050a510
12609545a853
132c4a066a10
14172c842c6b
15c329691dc
hex749759d3f

31297215807 has 128 divisors (see below), whose sum is σ = 56125117440. Its totient is φ = 16982784000.

The previous prime is 31297215767. The next prime is 31297215809. The reversal of 31297215807 is 70851279213.

It is not a de Polignac number, because 31297215807 - 210 = 31297214783 is a prime.

It is a super-2 number, since 2×312972158072 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31297215809) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33401043 + ... + 33401979.

It is an arithmetic number, because the mean of its divisors is an integer number (438477480).

Almost surely, 231297215807 is an apocalyptic number.

31297215807 is a deficient number, since it is larger than the sum of its proper divisors (24827901633).

31297215807 is a wasteful number, since it uses less digits than its factorization.

31297215807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 31297215807 in words is "thirty-one billion, two hundred ninety-seven million, two hundred fifteen thousand, eight hundred seven".

Divisors: 1 3 9 11 13 27 33 39 41 99 117 123 143 211 297 351 369 429 451 533 633 937 1107 1287 1353 1599 1899 2321 2743 2811 3861 4059 4797 5697 5863 6963 8229 8433 8651 10307 12177 12181 14391 17589 20889 24687 25299 25953 30173 30921 36543 38417 52767 62667 74061 77859 90519 92763 95161 109629 112463 115251 133991 158301 197707 233577 271557 278289 285483 328887 337389 345753 401973 422587 499421 593121 814671 856449 1012167 1037259 1205919 1237093 1267761 1498263 1779363 2174777 2569347 2570191 3036501 3617757 3711279 3803283 4494789 5338089 5493631 6524331 7710573 8105987 11133837 11409849 13484367 16480893 19572993 23131719 24317961 28272101 33401511 49442679 58718979 69395157 72953883 84816303 89165857 105377831 148328037 218861649 254448909 267497571 316133493 763346727 802492713 948400479 1159156141 2407478139 2845201437 3477468423 10432405269 31297215807