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102213311310 = 23251129385979
BaseRepresentation
bin101111100110001100…
…0110101101101001110
3100202211102101012120200
41133030120311231032
53133313101430220
6114542305554330
710245640545105
oct1371430655516
9322742335520
10102213311310
113a391827700
12179870459a6
13983c221bc6
144d38da503c
1529d36d5890
hex17cc635b4e

102213311310 has 72 divisors (see below), whose sum is σ = 292110469560. Its totient is φ = 24778981920.

The previous prime is 102213311261. The next prime is 102213311311. The reversal of 102213311310 is 13113312201.

102213311310 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 331 + 1 + 310 = 666.

It is a super-2 number, since 2×1022133113102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213311311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4682100 + ... + 4703879.

It is an arithmetic number, because the mean of its divisors is an integer number (4057089855).

Almost surely, 2102213311310 is an apocalyptic number.

102213311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213311310 is an abundant number, since it is smaller than the sum of its proper divisors (189897158250).

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

102213311310 is a wasteful number, since it uses less digits than its factorization.

102213311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386014 (or 9386000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102213311310 its reverse (13113312201), we get a palindrome (115326623511).

The spelling of 102213311310 in words is "one hundred two billion, two hundred thirteen million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 9385979 18771958 28157937 46929895 56315874 84473811 93859790 103245769 140789685 168947622 206491538 281579370 309737307 422369055 516228845 619474614 844738110 929211921 1032457690 1135703459 1548686535 1858423842 2271406918 3097373070 3407110377 4646059605 5678517295 6814220754 9292119210 10221331131 11357034590 17035551885 20442662262 34071103770 51106655655 102213311310