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102100100200120 = 23511892607254857
BaseRepresentation
bin10111001101110000001000…
…001101000011011010111000
3111101111200012112100102020001
4113031300020031003122320
5101340302001122400440
61001052045530242344
730335326443253411
oct2715601015033270
9441450175312201
10102100100200120
112a594455900980
12b54b824b863b4
1344c7cc8ba0659
141b2d957b66808
15bc0cd06cab9a
hex5cdc083436b8

102100100200120 has 64 divisors (see below), whose sum is σ = 253425172197600. Its totient is φ = 36710148372480.

The previous prime is 102100100200079. The next prime is 102100100200159. The reversal of 102100100200120 is 21002001001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100100200097 and 102100100200106.

It is a congruent number.

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, 1303588269 + ... + 1303666588.

Almost surely, 2102100100200120 is an apocalyptic number.

102100100200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100100200120 is an abundant number, since it is smaller than the sum of its proper divisors (151325071997480).

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

102100100200120 is a wasteful number, since it uses less digits than its factorization.

102100100200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607254968 (or 2607254964 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100100200120 its reverse (21002001001201), we get a palindrome (123102101201321).

The spelling of 102100100200120 in words is "one hundred two trillion, one hundred billion, one hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 9790 19580 39160 2607254857 5214509714 10429019428 13036274285 20858038856 26072548570 28679803427 52145097140 57359606854 104290194280 114719213708 143399017135 229438427416 232045682273 286798034270 464091364546 573596068540 928182729092 1147192137080 1160228411365 1856365458184 2320456822730 2552502505003 4640913645460 5105005010006 9281827290920 10210010020012 12762512525015 20420020040024 25525025050030 51050050100060 102100100200120