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102102220332 = 22337499270653
BaseRepresentation
bin101111100010111000…
…1000011111000101100
3100202112200100012102000
41133011301003320230
53133101132022312
6114523300532300
710243121360520
oct1370561037054
9322480305360
10102102220332
113a335050382
12179559b1090
1398221c70b8
144d28327d80
1529c8a8eadc
hex17c5c43e2c

102102220332 has 96 divisors (see below), whose sum is σ = 303132480000. Its totient is φ = 29113494336.

The previous prime is 102102220309. The next prime is 102102220343. The reversal of 102102220332 is 233022201201.

102102220332 is a `hidden beast` number, since 10 + 2 + 102 + 220 + 332 = 666.

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

It is an unprimeable number.

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, 241918 + ... + 512570.

It is an arithmetic number, because the mean of its divisors is an integer number (3157630000).

Almost surely, 2102102220332 is an apocalyptic number.

102102220332 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 102102220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151566240000).

102102220332 is an abundant number, since it is smaller than the sum of its proper divisors (201030259668).

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

102102220332 is a wasteful number, since it uses less digits than its factorization.

102102220332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271172 (or 271164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102102220332 its reverse (233022201201), we get a palindrome (335124421533).

The spelling of 102102220332 in words is "one hundred two billion, one hundred two million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 499 756 998 1497 1996 2994 3493 4491 5988 6986 8982 10479 13473 13972 17964 20958 26946 31437 41916 53892 62874 94311 125748 188622 270653 377244 541306 811959 1082612 1623918 1894571 2435877 3247836 3789142 4871754 5683713 7307631 7578284 9743508 11367426 14615262 17051139 22734852 29230524 34102278 51153417 68204556 102306834 135055847 204613668 270111694 405167541 540223388 810335082 945390929 1215502623 1620670164 1890781858 2431005246 2836172787 3646507869 3781563716 4862010492 5672345574 7293015738 8508518361 11344691148 14586031476 17017036722 25525555083 34034073444 51051110166 102102220332