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213310401324102 = 23441307811043351
BaseRepresentation
bin110000100000000100110010…
…101100101010010001000110
31000222021021102121222121220000
4300200010302230222101012
5210424334200214332402
62033401240123422130
762634111411651615
oct6040046254522106
91028237377877800
10213310401324102
1161a70484614065
121bb10b99984946
139204113949534
143a963c833b87c
15199da5e118c1c
hexc20132b2a446

213310401324102 has 80 divisors (see below), whose sum is σ = 489647568430944. Its totient is φ = 69366916080000.

The previous prime is 213310401324079. The next prime is 213310401324109. The reversal of 213310401324102 is 201423104013312.

213310401324102 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 10 + 401 + 3 + 241 + 0 + 2 = 666.

It is a super-2 number, since 2×2133104013241022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213310401324109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203925727 + ... + 204969077.

Almost surely, 2213310401324102 is an apocalyptic number.

213310401324102 is an abundant number, since it is smaller than the sum of its proper divisors (276337167106842).

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

213310401324102 is a wasteful number, since it uses less digits than its factorization.

213310401324102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074187 (or 1074178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213310401324102 its reverse (201423104013312), we get a palindrome (414733505337414).

The spelling of 213310401324102 in words is "two hundred thirteen trillion, three hundred ten billion, four hundred one million, three hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 30781 61562 92343 184686 277029 554058 831087 1043351 1262021 1662174 2086702 2493261 2524042 3130053 3786063 4986522 6260106 7572126 9390159 11358189 18780318 22716378 28170477 34074567 42777391 56340954 68149134 84511431 85554782 102223701 128332173 169022862 204447402 256664346 384996519 769993038 1154989557 2309979114 3464968671 6929937342 32115387131 64230774262 96346161393 192692322786 289038484179 578076968358 867115452537 1316730872371 1734230905074 2601346357611 2633461744742 3950192617113 5202692715222 7900385234226 11850577851339 23701155702678 35551733554017 71103467108034 106655200662051 213310401324102