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102130211320 = 23519161983003
BaseRepresentation
bin101111100011101101…
…1110101100111111000
3100202121122000021211021
41133013123311213320
53133130313230240
6114530140512224
710243611321064
oct1370733654770
9322548007737
10102130211320
113a349929425
121796324b674
139827c47807
144d2bd32aa4
1529cb26d54a
hex17c76f59f8

102130211320 has 64 divisors (see below), whose sum is σ = 242039664000. Its totient is φ = 38677603968.

The previous prime is 102130211251. The next prime is 102130211503. The reversal of 102130211320 is 23112031201.

102130211320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1021302113202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102130211294 and 102130211303.

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, 1188939 + ... + 1271941.

It is an arithmetic number, because the mean of its divisors is an integer number (3781869750).

Almost surely, 2102130211320 is an apocalyptic number.

102130211320 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 102130211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121019832000).

102130211320 is an abundant number, since it is smaller than the sum of its proper divisors (139909452680).

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

102130211320 is a wasteful number, since it uses less digits than its factorization.

102130211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84652 (or 84648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102130211320 its reverse (23112031201), we get a palindrome (125242242521).

The spelling of 102130211320 in words is "one hundred two billion, one hundred thirty million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1619 3238 6476 8095 12952 16190 30761 32380 61522 64760 83003 123044 153805 166006 246088 307610 332012 415015 615220 664024 830030 1230440 1577057 1660060 3154114 3320120 6308228 7885285 12616456 15770570 31541140 63082280 134381857 268763714 537527428 671909285 1075054856 1343818570 2553255283 2687637140 5106510566 5375274280 10213021132 12766276415 20426042264 25532552830 51065105660 102130211320