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102412210440 = 23354911738157
BaseRepresentation
bin101111101100000111…
…1100101000100001000
3100210100021122022220010
41133120033211010020
53134220011213230
6115014133031520
710253604266001
oct1373017450410
9323307568803
10102412210440
113a484028551
1217a217855a0
1398714b20b7
144d5757c1a8
1529e5dc39b0
hex17d83e5108

102412210440 has 64 divisors (see below), whose sum is σ = 307862544960. Its totient is φ = 27254286080.

The previous prime is 102412210357. The next prime is 102412210463. The reversal of 102412210440 is 44012214201.

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 15 ways as a sum of consecutive naturals, for example, 810159 + ... + 927998.

It is an arithmetic number, because the mean of its divisors is an integer number (4810352265).

Almost surely, 2102412210440 is an apocalyptic number.

102412210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412210440 is an abundant number, since it is smaller than the sum of its proper divisors (205450334520).

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

102412210440 is a wasteful number, since it uses less digits than its factorization.

102412210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738662 (or 1738658 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102412210440 its reverse (44012214201), we get a palindrome (146424424641).

The spelling of 102412210440 in words is "one hundred two billion, four hundred twelve million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 491 982 1473 1964 2455 2946 3928 4910 5892 7365 9820 11784 14730 19640 29460 58920 1738157 3476314 5214471 6952628 8690785 10428942 13905256 17381570 20857884 26072355 34763140 41715768 52144710 69526280 104289420 208578840 853435087 1706870174 2560305261 3413740348 4267175435 5120610522 6827480696 8534350870 10241221044 12801526305 17068701740 20482442088 25603052610 34137403480 51206105220 102412210440