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102320432214 = 237311131929631
BaseRepresentation
bin101111101001011000…
…1011110010001010110
3100210002212221111211120
41133102301132101112
53134023012312324
6115001053544410
710251411216000
oct1372261362126
9323085844746
10102320432214
113a437242180
12179b6aa5106
139858489960
144d492cb370
1529dcce5179
hex17d2c5e456

102320432214 has 512 divisors, whose sum is σ = 305786880000. Its totient is φ = 22404211200.

The previous prime is 102320432209. The next prime is 102320432239. The reversal of 102320432214 is 412234023201.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 162155679 + ... + 162156309.

It is an arithmetic number, because the mean of its divisors is an integer number (597240000).

Almost surely, 2102320432214 is an apocalyptic number.

102320432214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152893440000).

102320432214 is an abundant number, since it is smaller than the sum of its proper divisors (203466447786).

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

102320432214 is a wasteful number, since it uses less digits than its factorization.

102320432214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102320432214 its reverse (412234023201), we get a palindrome (514554455415).

The spelling of 102320432214 in words is "one hundred two billion, three hundred twenty million, four hundred thirty-two thousand, two hundred fourteen".