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20131220230112 = 251923598595651
BaseRepresentation
bin1001001001111001010100…
…01110110000111111100000
32122021112012100110212022102
410210330222032300333200
510114312214334330422
6110452053243025532
74145301255412265
oct444745216607740
978245170425272
1020131220230112
11646166a000102
122311694b0b2a8
13b3049ac13b04
144d84db80126c
1524d9d4dce192
hex124f2a3b0fe0

20131220230112 has 144 divisors (see below), whose sum is σ = 42001870377600. Its totient is φ = 9496527955200.

The previous prime is 20131220230111. The next prime is 20131220230157. The reversal of 20131220230112 is 21103202213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131220230111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562414487 + ... + 3562420137.

It is an arithmetic number, because the mean of its divisors is an integer number (291679655400).

Almost surely, 220131220230112 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 20131220230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000935188800).

20131220230112 is an abundant number, since it is smaller than the sum of its proper divisors (21870650147488).

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

20131220230112 is a wasteful number, since it uses less digits than its factorization.

20131220230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20131220230112 its reverse (21103202213102), we get a palindrome (41234422443214).

The spelling of 20131220230112 in words is "twenty trillion, one hundred thirty-one billion, two hundred twenty million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 359 361 608 718 722 859 1436 1444 1718 2872 2888 3436 5651 5744 5776 6821 6872 11302 11488 11552 13642 13744 16321 22604 27284 27488 32642 45208 54568 65284 90416 107369 109136 129599 130568 180832 214738 218272 259198 261136 308381 310099 429476 518396 522272 616762 620198 858952 1036792 1233524 1240396 1717904 2028709 2040011 2073584 2467048 2480792 3435808 4057418 4080022 4147168 4854209 4934096 4961584 5859239 8114836 8160044 9708418 9868192 9923168 11718478 16229672 16320088 19416836 23436956 32459344 32640176 38545471 38833672 46873912 64918688 65280352 77090942 77667344 92229971 93747824 111325541 154181884 155334688 184459942 187495648 222651082 308363768 368919884 445302164 616727536 732363949 737839768 890604328 1233455072 1464727898 1475679536 1742661031 1752369449 1781208656 2929455796 2951359072 3485322062 3504738898 3562417312 5858911592 6970644124 7009477796 11717823184 13941288248 14018955592 23435646368 27882576496 28037911184 33110559589 55765152992 56075822368 66221119178 132442238356 264884476712 529768953424 629100632191 1059537906848 1258201264382 2516402528764 5032805057528 10065610115056 20131220230112