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102210210032 = 24717411309313
BaseRepresentation
bin101111100110000110…
…1000000100011110000
3100202211012112122102112
41133030031000203300
53133311303210112
6114542115304452
710245602310350
oct1371415004360
9322735478375
10102210210032
113a38aaa9667
1217985bab128
13983b6a7428
144d387d8b60
1529d32c1a22
hex17cc3408f0

102210210032 has 80 divisors (see below), whose sum is σ = 245480663232. Its totient is φ = 40222064640.

The previous prime is 102210210017. The next prime is 102210210059. The reversal of 102210210032 is 230012012201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102210209989 and 102210210016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576593 + ... + 732720.

Almost surely, 2102210210032 is an apocalyptic number.

It is an amenable number.

102210210032 is an abundant number, since it is smaller than the sum of its proper divisors (143270453200).

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

102210210032 is a wasteful number, since it uses less digits than its factorization.

102210210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309386 (or 1309380 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102210210032 its reverse (230012012201), we get a palindrome (332222222233).

The spelling of 102210210032 in words is "one hundred two billion, two hundred ten million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 112 119 136 164 238 272 287 328 476 574 656 697 952 1148 1394 1904 2296 2788 4592 4879 5576 9758 11152 19516 39032 78064 1309313 2618626 5237252 9165191 10474504 18330382 20949008 22258321 36660764 44516642 53681833 73321528 89033284 107363666 146643056 155808247 178066568 214727332 311616494 356133136 375772831 429454664 623232988 751545662 858909328 912591161 1246465976 1503091324 1825182322 2492931952 3006182648 3650364644 6012365296 6388138127 7300729288 12776276254 14601458576 25552552508 51105105016 102210210032