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102012102320 = 2452395335361
BaseRepresentation
bin101111100000001100…
…1010010011010110000
3100202022101202201201212
41133000121102122300
53132410044233240
6114510321215252
710240645364012
oct1370031223260
9322271681655
10102012102320
113a299199387
121792b791528
13980963352b
144d1a38a1b2
1529c0bdd165
hex17c06526b0

102012102320 has 40 divisors (see below), whose sum is σ = 238170559680. Its totient is φ = 40634101760.

The previous prime is 102012102319. The next prime is 102012102341. The reversal of 102012102320 is 23201210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1020121023202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012102295 and 102012102304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2648561 + ... + 2686800.

It is an arithmetic number, because the mean of its divisors is an integer number (5954263992).

Almost surely, 2102012102320 is an apocalyptic number.

102012102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012102320 is an abundant number, since it is smaller than the sum of its proper divisors (136158457360).

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

102012102320 is a wasteful number, since it uses less digits than its factorization.

102012102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335613 (or 5335607 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102012102320 its reverse (23201210201), we get a palindrome (125213312521).

The spelling of 102012102320 in words is "one hundred two billion, twelve million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 19120 5335361 10670722 21341444 26676805 42682888 53353610 85365776 106707220 213414440 426828880 1275151279 2550302558 5100605116 6375756395 10201210232 12751512790 20402420464 25503025580 51006051160 102012102320