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13101021010422 = 2337114292391227
BaseRepresentation
bin1011111010100101000110…
…1101000001100111110110
31201101110000200100120112000
42332221101231001213312
53204121342334313142
643510305335240130
72521342341125562
oct276512155014766
951343020316460
1013101021010422
1141a11258aa064
121577095519046
13740561b80327
143341429026a2
1517abc335314c
hexbea51b419f6

13101021010422 has 64 divisors (see below), whose sum is σ = 29544100185600. Its totient is φ = 4302485117280.

The previous prime is 13101021010409. The next prime is 13101021010489. The reversal of 13101021010422 is 22401012010131.

13101021010422 is a `hidden beast` number, since 1 + 3 + 10 + 10 + 210 + 10 + 422 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13101021010395 and 13101021010404.

It is a congruent number.

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, 4283173 + ... + 6674399.

It is an arithmetic number, because the mean of its divisors is an integer number (461626565400).

Almost surely, 213101021010422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101021010422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772050092800).

13101021010422 is an abundant number, since it is smaller than the sum of its proper divisors (16443079175178).

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

13101021010422 is a wasteful number, since it uses less digits than its factorization.

13101021010422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392738 (or 2392732 counting only the distinct ones).

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

Adding to 13101021010422 its reverse (22401012010131), we get a palindrome (35502033020553).

The spelling of 13101021010422 in words is "thirteen trillion, one hundred one billion, twenty-one million, ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1429 1917 2858 3834 4287 8574 12861 25722 38583 77166 101459 202918 304377 608754 913131 1826262 2391227 2739393 4782454 5478786 7173681 14347362 21521043 43042086 64563129 129126258 169777117 339554234 509331351 1018662702 1527994053 3055988106 3417063383 4583982159 6834126766 9167964318 10251190149 20502380298 30753570447 61507140894 92260711341 184521422682 242611500193 485223000386 727834500579 1455669001158 2183503501737 4367007003474 6550510505211 13101021010422