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102112203440 = 24513167587933
BaseRepresentation
bin101111100011001011…
…1001001001010110000
3100202120101010101122202
41133012113021022300
53133111211002230
6114524254522332
710243302260012
oct1370627111260
9322511111582
10102112203440
113a33a749885
12179592063a8
1398242b1070
144d297a61b2
1529c98b2a45
hex17c65c92b0

102112203440 has 80 divisors (see below), whose sum is σ = 257204662848. Its totient is φ = 37477137408.

The previous prime is 102112203419. The next prime is 102112203461. The reversal of 102112203440 is 44302211201.

It is an interprime number because it is at equal distance from previous prime (102112203419) and next prime (102112203461).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120287 + ... + 467646.

Almost surely, 2102112203440 is an apocalyptic number.

102112203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112203440 is an abundant number, since it is smaller than the sum of its proper divisors (155092459408).

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

102112203440 is a wasteful number, since it uses less digits than its factorization.

102112203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588126 (or 588120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102112203440 its reverse (44302211201), we get a palindrome (146414414641).

The spelling of 102112203440 in words is "one hundred two billion, one hundred twelve million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 167 208 260 334 520 668 835 1040 1336 1670 2171 2672 3340 4342 6680 8684 10855 13360 17368 21710 34736 43420 86840 173680 587933 1175866 2351732 2939665 4703464 5879330 7643129 9406928 11758660 15286258 23517320 30572516 38215645 47034640 61145032 76431290 98184811 122290064 152862580 196369622 305725160 392739244 490924055 611450320 785478488 981848110 1276402543 1570956976 1963696220 2552805086 3927392440 5105610172 6382012715 7854784880 10211220344 12764025430 20422440688 25528050860 51056101720 102112203440