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12311142012 = 223213232774129
BaseRepresentation
bin10110111011100110…
…10001111001111100
31011202222120210221200
423131303101321330
5200203123021022
65353342255500
7614036660211
oct133563217174
934688523850
1012311142012
115248356234
122476b87590
131212763c20
1484b091b08
154c0c30bac
hex2ddcd1e7c

12311142012 has 144 divisors (see below), whose sum is σ = 35105528640. Its totient is φ = 3609391104.

The previous prime is 12311141993. The next prime is 12311142043. The reversal of 12311142012 is 21024111321.

12311142012 is a `hidden beast` number, since 1 + 231 + 1 + 1 + 420 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2979564 + ... + 2983692.

Almost surely, 212311142012 is an apocalyptic number.

12311142012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552764320).

12311142012 is an abundant number, since it is smaller than the sum of its proper divisors (22794386628).

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

12311142012 is a wasteful number, since it uses less digits than its factorization.

12311142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12311142012 its reverse (21024111321), we get a palindrome (33335253333).

The spelling of 12311142012 in words is "twelve billion, three hundred eleven million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 277 299 414 468 554 598 828 831 897 1108 1196 1662 1794 2493 2691 3324 3588 3601 4129 4986 5382 6371 7202 8258 9972 10764 10803 12387 12742 14404 16516 19113 21606 24774 25484 32409 37161 38226 43212 49548 53677 57339 64818 74322 76452 82823 94967 107354 114678 129636 148644 161031 165646 189934 214708 229356 248469 284901 322062 331292 379868 483093 496938 569802 644124 745407 854703 966186 993876 1139604 1143733 1234571 1490814 1709406 1932372 2287466 2469142 2981628 3418812 3431199 3703713 4574932 4938284 6862398 7407426 10293597 11111139 13724796 14814852 14868529 20587194 22222278 26305859 29737058 41174388 44444556 44605587 52611718 59474116 78917577 89211174 105223436 133816761 157835154 178422348 236752731 267633522 315670308 341976167 473505462 535267044 683952334 947010924 1025928501 1367904668 2051857002 3077785503 4103714004 6155571006 12311142012