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102221121132 = 223213773282563
BaseRepresentation
bin101111100110011011…
…0101000011001101100
3100202211222001222122100
41133030312220121230
53133322101334012
6114543145215100
710246064123214
oct1371466503154
9322758058570
10102221121132
113a3961812a9
1217989791490
139840a278c0
144d3a039244
1529d42298dc
hex17ccda866c

102221121132 has 72 divisors (see below), whose sum is σ = 278629578864. Its totient is φ = 31411852416.

The previous prime is 102221121113. The next prime is 102221121161. The reversal of 102221121132 is 231121122201.

It is a super-2 number, since 2×1022211211322 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220483 + ... + 503045.

It is an arithmetic number, because the mean of its divisors is an integer number (3869855262).

Almost surely, 2102221121132 is an apocalyptic number.

102221121132 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 102221121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139314789432).

102221121132 is an abundant number, since it is smaller than the sum of its proper divisors (176408457732).

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

102221121132 is a wasteful number, since it uses less digits than its factorization.

102221121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283359 (or 283354 counting only the distinct ones).

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

Adding to 102221121132 its reverse (231121122201), we get a palindrome (333342243333).

The spelling of 102221121132 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 773 1546 2319 3092 4638 6957 9276 10049 13914 20098 27828 30147 40196 60294 90441 120588 180882 282563 361764 565126 847689 1130252 1695378 2543067 3390756 3673319 5086134 7346638 10172268 11019957 14693276 22039914 33059871 44079828 66119742 132239484 218421199 436842398 655263597 873684796 1310527194 1965790791 2621054388 2839475587 3931581582 5678951174 7863163164 8518426761 11357902348 17036853522 25555280283 34073707044 51110560566 102221121132