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102123203392 = 267232564797
BaseRepresentation
bin101111100011100000…
…1000110101101000000
3100202121010211020202101
41133013001012231000
53133122020002032
6114525330400144
710243464622600
oct1370701065500
9322533736671
10102123203392
113a345982251
1217960a30054
139826662b02
144d2b02ac00
1529ca836de7
hex17c7046b40

102123203392 has 42 divisors (see below), whose sum is σ = 235736572722. Its totient is φ = 43767085824.

The previous prime is 102123203387. The next prime is 102123203401. The reversal of 102123203392 is 293302321201.

It can be written as a sum of positive squares in only one way, i.e., 85156577856 + 16966625536 = 291816^2 + 130256^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102123203392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16279263 + ... + 16285534.

It is an arithmetic number, because the mean of its divisors is an integer number (5612775541).

Almost surely, 2102123203392 is an apocalyptic number.

It is an amenable number.

102123203392 is an abundant number, since it is smaller than the sum of its proper divisors (133613369330).

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

102123203392 is an equidigital number, since it uses as much as digits as its factorization.

102123203392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32564823 (or 32564806 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 102123203392 its reverse (293302321201), we get a palindrome (395425524593).

The spelling of 102123203392 in words is "one hundred two billion, one hundred twenty-three million, two hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 32564797 65129594 130259188 227953579 260518376 455907158 521036752 911814316 1042073504 1595675053 1823628632 2084147008 3191350106 3647257264 6382700212 7294514528 12765400424 14589029056 25530800848 51061601696 102123203392