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31131203123112 = 23317472636172799
BaseRepresentation
bin1110001010000010011000…
…10011011011011110101000
311002020010002001221102020020
413011001030103123132220
513040023200444414422
6150113251032000440
76362104143316161
oct705011423333650
9132203061842206
1031131203123112
119a1273a6352a4
1235a9528b30120
13144a876928481
14798a889a2768
1538ebd9d0995c
hex1c504c4db7a8

31131203123112 has 128 divisors (see below), whose sum is σ = 84479459328000. Its totient is φ = 9522503871488.

The previous prime is 31131203123101. The next prime is 31131203123149. The reversal of 31131203123112 is 21132130213113.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1956889 + ... + 8129687.

It is an arithmetic number, because the mean of its divisors is an integer number (659995776000).

Almost surely, 231131203123112 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 31131203123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42239729664000).

31131203123112 is an abundant number, since it is smaller than the sum of its proper divisors (53348256204888).

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

31131203123112 is a wasteful number, since it uses less digits than its factorization.

31131203123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173135 (or 6173131 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 31131203123112 its reverse (21132130213113), we get a palindrome (52263333336225).

The spelling of 31131203123112 in words is "thirty-one trillion, one hundred thirty-one billion, two hundred three million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 263 282 376 408 526 564 789 799 1052 1128 1578 1598 2104 2397 3156 3196 4471 4794 6312 6392 8942 9588 12361 13413 17884 19176 24722 26826 35768 37083 49444 53652 74166 98888 107304 148332 210137 296664 420274 630411 840548 1260822 1681096 2521644 5043288 6172799 12345598 18518397 24691196 37036794 49382392 74073588 104937583 148147176 209875166 290121553 314812749 419750332 580243106 629625498 839500664 870364659 1160486212 1259250996 1623446137 1740729318 2320972424 2518501992 3246892274 3481458636 4870338411 4932066401 6493784548 6962917272 9740676822 9864132802 12987569096 14796199203 19481353644 19728265604 27598584329 29592398406 38962707288 39456531208 55197168658 59184796812 76301968439 82795752987 110394337316 118369593624 152603936878 165591505974 220788674632 228905905317 305207873756 331183011948 457811810634 610415747512 662366023896 915623621268 1297133463463 1831247242536 2594266926926 3891400390389 5188533853852 7782800780778 10377067707704 15565601561556 31131203123112