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1302313311112 = 2311195952125339
BaseRepresentation
bin10010111100110111111…
…011000001101110001000
311121111111110020211111111
4102330313323001232020
5132314114201423422
62434135141540104
7163042352332552
oct22746773015610
94544443224444
101302313311112
11462342a05060
12190492114634
1395a66450298
14470648c04d2
1523d22075a77
hex12f37ec1b88

1302313311112 has 128 divisors (see below), whose sum is σ = 2857135680000. Its totient is φ = 550219737600.

The previous prime is 1302313311107. The next prime is 1302313311113. The reversal of 1302313311112 is 2111133132031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1302313311113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51382939 + ... + 51408277.

It is an arithmetic number, because the mean of its divisors is an integer number (22321372500).

Almost surely, 21302313311112 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 1302313311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428567840000).

1302313311112 is an abundant number, since it is smaller than the sum of its proper divisors (1554822368888).

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

1302313311112 is a wasteful number, since it uses less digits than its factorization.

1302313311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25955 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1302313311112 its reverse (2111133132031), we get a palindrome (3413446443143).

The spelling of 1302313311112 in words is "one trillion, three hundred two billion, three hundred thirteen million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 59 76 88 118 152 209 236 418 472 521 649 836 1042 1121 1298 1672 2084 2242 2596 4168 4484 5192 5731 8968 9899 11462 12331 19798 22924 24662 25339 30739 39596 45848 49324 50678 61478 79192 98648 101356 108889 122956 202712 217778 245912 278729 338129 435556 481441 557458 584041 676258 871112 962882 1114916 1168082 1352516 1495001 1925764 2229832 2336164 2705032 2990002 3851528 4672328 5295851 5980004 6424451 10591702 11960008 12848902 13201619 16445011 21183404 25697804 26403238 28405019 32890022 42366808 51395608 52806476 56810038 65780044 105612952 113620076 131560088 145217809 227240152 250830761 290435618 312455209 501661522 580871236 624910418 778895521 1003323044 1161742472 1249820836 1557791042 2006646088 2499641672 2759138371 3115582084 5518276742 6231164168 8567850731 11036553484 14799014899 17135701462 22073106968 29598029798 34271402924 59196059596 68542805848 118392119192 162789163889 325578327778 651156655556 1302313311112