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102100321000 = 2353642115901
BaseRepresentation
bin101111100010110100…
…1110100001011101000
3100202112112202201000101
41133011221310023220
53133100140233000
6114523152115144
710243066260226
oct1370551641350
9322475681011
10102100321000
113a333a73387
1217955235ab4
1398219b0732
144d27d91b16
1529c8816e6a
hex17c5a742e8

102100321000 has 64 divisors (see below), whose sum is σ = 238966986960. Its totient is φ = 40831200000.

The previous prime is 102100320997. The next prime is 102100321031. The reversal of 102100321000 is 123001201.

It can be written as a sum of positive squares in 8 ways, for example, as 16769732004 + 85330588996 = 129498^2 + 292114^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6413050 + ... + 6428950.

Almost surely, 2102100321000 is an apocalyptic number.

102100321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100321000 is an abundant number, since it is smaller than the sum of its proper divisors (136866665960).

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

102100321000 is a wasteful number, since it uses less digits than its factorization.

102100321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22343 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102100321000 its reverse (123001201), we get a palindrome (102223322201).

The spelling of 102100321000 in words is "one hundred two billion, one hundred million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6421 12842 15901 25684 31802 32105 51368 63604 64210 79505 127208 128420 159010 160525 256840 318020 321050 397525 636040 642100 795050 802625 1284200 1590100 1605250 1987625 3180200 3210500 3975250 6421000 7950500 15901000 102100321 204200642 408401284 510501605 816802568 1021003210 2042006420 2552508025 4084012840 5105016050 10210032100 12762540125 20420064200 25525080250 51050160500 102100321000