Search a number
-
+
321431610061032 = 2331731113224899393
BaseRepresentation
bin100100100010101110010000…
…0111011111111000011101000
31120011002120011120022100212220
41021011130200323333003220
5314112313414133423112
63055343350530234040
7124463444641323252
oct11105344073770350
91504076146270786
10321431610061032
11934664201a1529
1230073723a25920
1310a47b42103b33
14595353149acd2
1527262919b898c
hex1245720eff0e8

321431610061032 has 128 divisors (see below), whose sum is σ = 886067628456960. Its totient is φ = 96724730511360.

The previous prime is 321431610061019. The next prime is 321431610061069. The reversal of 321431610061032 is 230160016134123.

It is a junction number, because it is equal to n+sod(n) for n = 321431610060984 and 321431610061002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111020473 + ... + 113878920.

It is an arithmetic number, because the mean of its divisors is an integer number (6922403347320).

Almost surely, 2321431610061032 is an apocalyptic number.

It is an amenable number.

321431610061032 is an abundant number, since it is smaller than the sum of its proper divisors (564636018395928).

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

321431610061032 is a wasteful number, since it uses less digits than its factorization.

321431610061032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224899563 (or 224899559 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 321431610061032 its reverse (230160016134123), we get a palindrome (551591626195155).

The spelling of 321431610061032 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, six hundred ten million, sixty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 113 124 136 186 204 226 248 339 372 408 452 527 678 744 904 1054 1356 1581 1921 2108 2712 3162 3503 3842 4216 5763 6324 7006 7684 10509 11526 12648 14012 15368 21018 23052 28024 42036 46104 59551 84072 119102 178653 238204 357306 476408 714612 1429224 224899393 449798786 674698179 899597572 1349396358 1799195144 2698792716 3823289681 5397585432 6971881183 7646579362 11469869043 13943762366 15293158724 20915643549 22939738086 25413631409 27887524732 30586317448 41831287098 45879476172 50827262818 55775049464 76240894227 83662574196 91758952344 101654525636 118521980111 152481788454 167325148392 203309051272 237043960222 304963576908 355565940333 432031733953 474087920444 609927153816 711131880666 787822573679 864063467906 948175840888 1296095201859 1422263761332 1575645147358 1728126935812 2363467721037 2592190403718 2844527522664 3151290294716 3456253871624 4726935442074 5184380807436 6302580589432 9453870884148 10368761614872 13392983752543 18907741768296 26785967505086 40178951257629 53571935010172 80357902515258 107143870020344 160715805030516 321431610061032