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102153421200 = 2435285127851
BaseRepresentation
bin101111100100011010…
…0011000000110010000
3100202200020200110210110
41133020310120012100
53133202233434300
6114532330201320
710244312516265
oct1371064300620
9322606613713
10102153421200
113a360a41346
121796ab83240
13982c9b2c7c
144d3105526c
1529cd305550
hex17c8d18190

102153421200 has 60 divisors (see below), whose sum is σ = 327231463088. Its totient is φ = 27240912000.

The previous prime is 102153421177. The next prime is 102153421229. The reversal of 102153421200 is 2124351201.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42562726 + ... + 42565125.

Almost surely, 2102153421200 is an apocalyptic number.

102153421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102153421200 is an abundant number, since it is smaller than the sum of its proper divisors (225078041888).

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

102153421200 is a wasteful number, since it uses less digits than its factorization.

102153421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85127872 (or 85127861 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 102153421200 its reverse (2124351201), we get a palindrome (104277772401).

The spelling of 102153421200 in words is "one hundred two billion, one hundred fifty-three million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 85127851 170255702 255383553 340511404 425639255 510767106 681022808 851278510 1021534212 1276917765 1362045616 1702557020 2043068424 2128196275 2553835530 3405114040 4086136848 4256392550 5107671060 6384588825 6810228080 8512785100 10215342120 12769177650 17025570200 20430684240 25538355300 34051140400 51076710600 102153421200