Search a number
-
+
102915211320 = 233251753973271
BaseRepresentation
bin101111111011000111…
…0011000000000111000
3100211122100010102101100
41133312032120000320
53141232243230240
6115140102051400
710302222601605
oct1376616300070
9324570112340
10102915211320
113a711a54559
1217b42119b60
13992177805c
144da42b56ac
152a25130e30
hex17f6398038

102915211320 has 384 divisors, whose sum is σ = 364662829440. Its totient is φ = 25073418240.

The previous prime is 102915211319. The next prime is 102915211331. The reversal of 102915211320 is 23112519201.

102915211320 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 1 + 521 + 132 + 0 = 666.

It is a super-2 number, since 2×1029152113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31461285 + ... + 31464555.

It is an arithmetic number, because the mean of its divisors is an integer number (949642785).

Almost surely, 2102915211320 is an apocalyptic number.

102915211320 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 102915211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182331414720).

102915211320 is an abundant number, since it is smaller than the sum of its proper divisors (261747618120).

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

102915211320 is a wasteful number, since it uses less digits than its factorization.

102915211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 102915211320 in words is "one hundred two billion, nine hundred fifteen million, two hundred eleven thousand, three hundred twenty".