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102313100220 = 223517223449807
BaseRepresentation
bin101111101001001010…
…1100000001110111100
3100210002101011000020020
41133102111200032330
53134014123201340
6115000232452140
710251262000632
oct1372225401674
9323071130206
10102313100220
113a433094581
12179b454a050
139856ac05b6
144d4833d352
1529dc3479d0
hex17d25603bc

102313100220 has 96 divisors (see below), whose sum is σ = 304689143808. Its totient is φ = 25563374592.

The previous prime is 102313100177. The next prime is 102313100221. The reversal of 102313100220 is 22001313201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102313100220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2557 + ... + 452363.

It is an arithmetic number, because the mean of its divisors is an integer number (3173845248).

Almost surely, 2102313100220 is an apocalyptic number.

102313100220 is a gapful number since it is divisible by the number (10) 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 102313100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152344571904).

102313100220 is an abundant number, since it is smaller than the sum of its proper divisors (202376043588).

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

102313100220 is a wasteful number, since it uses less digits than its factorization.

102313100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450059 (or 450057 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102313100220 its reverse (22001313201), we get a palindrome (124314413421).

The spelling of 102313100220 in words is "one hundred two billion, three hundred thirteen million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 223 255 340 446 510 669 892 1020 1115 1338 2230 2676 3345 3791 4460 6690 7582 11373 13380 15164 18955 22746 37910 45492 56865 75820 113730 227460 449807 899614 1349421 1799228 2249035 2698842 4498070 5397684 6747105 7646719 8996140 13494210 15293438 22940157 26988420 30586876 38233595 45880314 76467190 91760628 100306961 114700785 152934380 200613922 229401570 300920883 401227844 458803140 501534805 601841766 1003069610 1203683532 1504604415 1705218337 2006139220 3009208830 3410436674 5115655011 6018417660 6820873348 8526091685 10231310022 17052183370 20462620044 25578275055 34104366740 51156550110 102313100220