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91031313152312 = 23138357431836287
BaseRepresentation
bin10100101100101011100001…
…000101010111100100111000
3102221022111201201201122122022
4110230223201011113210320
543412424112131333222
6521335112525414012
725113536541602141
oct2454534105274470
9387274651648568
1091031313152312
1127007188102925
12a26258a70a308
133ba42a670c960
141869d20b1aac8
15a7ce00159042
hex52cae1157938

91031313152312 has 64 divisors (see below), whose sum is σ = 186060339118080. Its totient is φ = 41501003778432.

The previous prime is 91031313152281. The next prime is 91031313152323. The reversal of 91031313152312 is 21325131313019.

It is a super-3 number, since 3×910313131523123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48655433 + ... + 50491719.

It is an arithmetic number, because the mean of its divisors is an integer number (2907192798720).

Almost surely, 291031313152312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91031313152312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93030169559040).

91031313152312 is an abundant number, since it is smaller than the sum of its proper divisors (95029025965768).

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

91031313152312 is a wasteful number, since it uses less digits than its factorization.

91031313152312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842132 (or 1842128 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 91031313152312 in words is "ninety-one trillion, thirty-one billion, three hundred thirteen million, one hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2158 4316 5743 8632 11486 22972 45944 74659 149318 298636 476669 597272 953338 1836287 1906676 3672574 3813352 6196697 7345148 12393394 14690296 23871731 24786788 47743462 49573576 95486924 152411821 190973848 304823642 609647284 1219294568 1981353673 3962707346 7925414692 10545796241 15850829384 21091592482 42183184964 84366369928 137095351133 274190702266 548381404532 875301088003 1096762809064 1750602176006 3501204352012 7002408704024 11378914144039 22757828288078 45515656576156 91031313152312