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31023012000312 = 2334127249376231
BaseRepresentation
bin1110000110111000110111…
…00111000011001000111000
311001211202211001020220220000
413003130123213003020320
513031240112033002222
6145551435220433000
76351224105045163
oct703343347031070
9131752731226800
1031023012000312
119980870562422
123590573b48760
1314405c4109107
14793743b26ada
1538bea69209ac
hex1c371b9c3238

31023012000312 has 80 divisors (see below), whose sum is σ = 86894072430000. Its totient is φ = 10340895248640.

The previous prime is 31023012000209. The next prime is 31023012000313. The reversal of 31023012000312 is 21300021032013.

31023012000312 is a `hidden beast` number, since 3 + 1 + 0 + 230 + 120 + 0 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023012000313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82269237 + ... + 82645467.

It is an arithmetic number, because the mean of its divisors is an integer number (1086175905375).

Almost surely, 231023012000312 is an apocalyptic number.

It is an amenable number.

31023012000312 is an abundant number, since it is smaller than the sum of its proper divisors (55871060429688).

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

31023012000312 is a wasteful number, since it uses less digits than its factorization.

31023012000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503498 (or 503485 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31023012000312 its reverse (21300021032013), we get a palindrome (52323033032325).

The spelling of 31023012000312 in words is "thirty-one trillion, twenty-three billion, twelve million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 127249 254498 376231 381747 508996 752462 763494 1017992 1128693 1145241 1504924 1526988 2257386 2290482 3009848 3053976 3386079 3435723 4514772 4580964 6772158 6871446 9029544 9161928 10158237 10307169 13544316 13742892 20316474 20614338 27088632 27485784 30474711 40632948 41228676 60949422 81265896 82457352 121898844 243797688 47875018519 95750037038 143625055557 191500074076 287250111114 383000148152 430875166671 574500222228 861750333342 1149000444456 1292625500013 1723500666684 2585251000026 3447001333368 3877876500039 5170502000052 7755753000078 10341004000104 15511506000156 31023012000312