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13022302301112 = 23313612140731963
BaseRepresentation
bin1011110101111111110110…
…1100111110101110111000
31201002220211122012210220210
42331133331230332232320
53201324133342113422
643410210232151120
72512554535132416
oct275377554765670
951086748183823
1013022302301112
114170800181705
1215639868384a0
13735cc83326b0
143303d5db82b6
15178b175cb10c
hexbd7fdb3ebb8

13022302301112 has 128 divisors (see below), whose sum is σ = 35637579048960. Its totient is φ = 3940868574720.

The previous prime is 13022302301111. The next prime is 13022302301131. The reversal of 13022302301112 is 21110320322031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022302301111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407402043 + ... + 407434005.

It is an arithmetic number, because the mean of its divisors is an integer number (278418586320).

Almost surely, 213022302301112 is an apocalyptic number.

13022302301112 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 13022302301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818789524480).

13022302301112 is an abundant number, since it is smaller than the sum of its proper divisors (22615276747848).

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

13022302301112 is a wasteful number, since it uses less digits than its factorization.

13022302301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53453 (or 53449 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13022302301112 its reverse (21110320322031), we get a palindrome (34132622623143).

The spelling of 13022302301112 in words is "thirteen trillion, twenty-two billion, three hundred two million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 19032 21407 31963 42814 63926 64221 85628 95889 127852 128442 171256 191778 255704 256884 278291 383556 415519 513768 556582 767112 831038 834873 1113164 1246557 1305827 1662076 1669746 1949743 2226328 2493114 2611654 3324152 3339492 3899486 3917481 4986228 5223308 5849229 6678984 7798972 7834962 9972456 10446616 11698458 15597944 15669924 16975751 23396916 25346659 31339848 33951502 46793832 50693318 50927253 67903004 76039977 101386636 101854506 135806008 152079954 202773272 203709012 304159908 407418024 608319816 684231941 1368463882 2052695823 2736927764 4105391646 5473855528 8210783292 8895015233 16421566584 17790030466 26685045699 35580060932 41738148401 53370091398 71160121864 83476296802 106740182796 125214445203 166952593604 213480365592 250428890406 333905187208 500857780812 542595929213 1001715561624 1085191858426 1627787787639 2170383716852 3255575575278 4340767433704 6511151150556 13022302301112