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102495430400 = 2852111455901
BaseRepresentation
bin101111101110100110…
…1000010011100000000
3100210120002020100012212
41133131031002130000
53134402312233100
6115030304441252
710255634532536
oct1373515023400
9323502210185
10102495430400
113a516aa8980
1217a45619228
1398857cbc8c
144d64642156
1529ed361635
hex17dd342700

102495430400 has 108 divisors (see below), whose sum is σ = 276755322984. Its totient is φ = 37271040000.

The previous prime is 102495430399. The next prime is 102495430493. The reversal of 102495430400 is 4034594201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657551 + ... + 798350.

Almost surely, 2102495430400 is an apocalyptic number.

102495430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102495430400 is an abundant number, since it is smaller than the sum of its proper divisors (174259892584).

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

102495430400 is a wasteful number, since it uses less digits than its factorization.

102495430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455938 (or 1455919 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 102495430400 in words is "one hundred two billion, four hundred ninety-five million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 35200 70400 1455901 2911802 5823604 7279505 11647208 14559010 16014911 23294416 29118020 32029822 36397525 46588832 58236040 64059644 72795050 80074555 93177664 116472080 128119288 145590100 160149110 186355328 232944160 256238576 291180200 320298220 372710656 400372775 465888320 512477152 582360400 640596440 800745550 931776640 1024954304 1164720800 1281192880 1601491100 1863553280 2049908608 2329441600 2562385760 3202982200 4099817216 4658883200 5124771520 6405964400 9317766400 10249543040 12811928800 20499086080 25623857600 51247715200 102495430400