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102113213313330 = 23251959715329423
BaseRepresentation
bin10111001101111100010101…
…110011100111000100110010
3111101112221001101222120211200
4113031330111303213010302
5101341010330102011310
61001102055041552030
730336302422010232
oct2715742563470462
9441487041876750
10102113213313330
112a599a74913a1a
12b552284645616
1344c930882773b
141b3043d537cc2
15bc12eba229c0
hex5cdf15ce7132

102113213313330 has 48 divisors (see below), whose sum is σ = 279467741704320. Its totient is φ = 25797022310304.

The previous prime is 102113213313283. The next prime is 102113213313413. The reversal of 102113213313330 is 33313312311201.

102113213313330 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 3 + 2 + 13 + 313 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102113213313294 and 102113213313303.

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, 29857663002 + ... + 29857666421.

It is an arithmetic number, because the mean of its divisors is an integer number (5822244618840).

Almost surely, 2102113213313330 is an apocalyptic number.

102113213313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102113213313330 is an abundant number, since it is smaller than the sum of its proper divisors (177354528390990).

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

102113213313330 is a wasteful number, since it uses less digits than its factorization.

102113213313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59715329455 (or 59715329452 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 102113213313330 its reverse (33313312311201), we get a palindrome (135426525624531).

The spelling of 102113213313330 in words is "one hundred two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 59715329423 119430658846 179145988269 298576647115 358291976538 537437964807 597153294230 895729941345 1074875929614 1134591259037 1791459882690 2269182518074 2687189824035 3403773777111 5374379648070 5672956295185 6807547554222 10211321331333 11345912590370 17018868885555 20422642662666 34037737771110 51056606656665 102113213313330