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102412203400 = 23521371554779
BaseRepresentation
bin101111101100000111…
…1100011010110001000
3100210100021121222020101
41133120033203112020
53134220011002100
6115014132535144
710253604236323
oct1373017432610
9323307558211
10102412203400
113a484023231
1217a217814b4
1398714abb30
144d575797ba
1529e5dc186a
hex17d83e3588

102412203400 has 96 divisors (see below), whose sum is σ = 260036481600. Its totient is φ = 37281081600.

The previous prime is 102412203371. The next prime is 102412203433. The reversal of 102412203400 is 4302214201.

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 23 ways as a sum of consecutive naturals, for example, 92790 + ... + 461989.

It is an arithmetic number, because the mean of its divisors is an integer number (2708713350).

Almost surely, 2102412203400 is an apocalyptic number.

102412203400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412203400 is an abundant number, since it is smaller than the sum of its proper divisors (157624278200).

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

102412203400 is a wasteful number, since it uses less digits than its factorization.

102412203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554879 (or 554870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102412203400 its reverse (4302214201), we get a palindrome (106714417601).

The spelling of 102412203400 in words is "one hundred two billion, four hundred twelve million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 130 142 200 260 284 325 355 520 568 650 710 923 1300 1420 1775 1846 2600 2840 3550 3692 4615 7100 7384 9230 14200 18460 23075 36920 46150 92300 184600 554779 1109558 2219116 2773895 4438232 5547790 7212127 11095580 13869475 14424254 22191160 27738950 28848508 36060635 39389309 55477900 57697016 72121270 78778618 110955800 144242540 157557236 180303175 196946545 288485080 315114472 360606350 393893090 512061017 721212700 787786180 984732725 1024122034 1442425400 1575572360 1969465450 2048244068 2560305085 3938930900 4096488136 5120610170 7877861800 10241220340 12801525425 20482440680 25603050850 51206101700 102412203400