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102302320120 = 235711213359647
BaseRepresentation
bin101111101000110110…
…0011000010111111000
3100210001121212022201021
41133101230120113320
53134003343220440
6114555205432224
710251101242030
oct1372154302770
9323047768637
10102302320120
113a427aa1300
12179b0a0b674
1398547b7940
144d46b348c0
1529db41884a
hex17d1b185f8

102302320120 has 384 divisors, whose sum is σ = 312744499200. Its totient is φ = 29306280960.

The previous prime is 102302320117. The next prime is 102302320147. The reversal of 102302320120 is 21023203201.

102302320120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102302320094 and 102302320103.

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, 158117637 + ... + 158118283.

It is an arithmetic number, because the mean of its divisors is an integer number (814438800).

Almost surely, 2102302320120 is an apocalyptic number.

102302320120 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 102302320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156372249600).

102302320120 is an abundant number, since it is smaller than the sum of its proper divisors (210442179080).

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

102302320120 is a wasteful number, since it uses less digits than its factorization.

102302320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102302320120 its reverse (21023203201), we get a palindrome (123325523321).

The spelling of 102302320120 in words is "one hundred two billion, three hundred two million, three hundred twenty thousand, one hundred twenty".