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102130312122 = 232371273373583
BaseRepresentation
bin101111100011101110…
…0001110001110111010
3100202121122012102002200
41133013130032032322
53133130324441442
6114530143011030
710243612221006
oct1370734161672
9322548172080
10102130312122
113a349998133
1217963299a76
139827c81667
144d2bd5b706
1529cb28d34c
hex17c770e3ba

102130312122 has 96 divisors (see below), whose sum is σ = 229796216832. Its totient is φ = 32755871232.

The previous prime is 102130312117. The next prime is 102130312183. The reversal of 102130312122 is 221213031201.

102130312122 is a `hidden beast` number, since 102 + 130 + 312 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102130312095 and 102130312104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28502343 + ... + 28505925.

It is an arithmetic number, because the mean of its divisors is an integer number (2393710592).

Almost surely, 2102130312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114898108416).

102130312122 is an abundant number, since it is smaller than the sum of its proper divisors (127665904710).

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

102130312122 is a wasteful number, since it uses less digits than its factorization.

102130312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102130312122 its reverse (221213031201), we get a palindrome (323343343323).

The spelling of 102130312122 in words is "one hundred two billion, one hundred thirty million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 127 222 254 333 337 381 666 674 762 1011 1143 2022 2286 3033 3583 4699 6066 7166 9398 10749 12469 14097 21498 24938 28194 32247 37407 42291 42799 64494 74814 84582 85598 112221 128397 132571 224442 256794 265142 385191 397713 455041 770382 795426 910082 1193139 1207471 1365123 1583563 2386278 2414942 2730246 3167126 3622413 4095369 4750689 7244826 8190738 9501378 10867239 14252067 16836517 21734478 28504134 33673034 44676427 50509551 89352854 101019102 134029281 151528653 153348817 268058562 303057306 306697634 402087843 460046451 804175686 920092902 1380139353 2760278706 5673906229 11347812458 17021718687 34043437374 51065156061 102130312122