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20102110110120 = 2335594457963691
BaseRepresentation
bin1001001001000011000110…
…01000011110000110101000
32122011202001121122112211010
410210201203020132012220
510113323110142010440
6110430440520103520
74143221012442633
oct444414310360650
978152047575733
1020102110110120
1164502911070a5
122307b10004ba0
13b2a80c01103c
144d6d3963ac1a
1524cd7e483580
hex12486321e1a8

20102110110120 has 128 divisors (see below), whose sum is σ = 61330810176000. Its totient is φ = 5269504753920.

The previous prime is 20102110110067. The next prime is 20102110110167. The reversal of 20102110110120 is 2101101120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20102110110096 and 20102110110105.

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 31 ways as a sum of consecutive naturals, for example, 315587475 + ... + 315651165.

It is an arithmetic number, because the mean of its divisors is an integer number (479146954500).

Almost surely, 220102110110120 is an apocalyptic number.

20102110110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102110110120 is an abundant number, since it is smaller than the sum of its proper divisors (41228700065880).

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

20102110110120 is a wasteful number, since it uses less digits than its factorization.

20102110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108343 (or 108339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20102110110120 its reverse (2101101120102), we get a palindrome (22203211230222).

The spelling of 20102110110120 in words is "twenty trillion, one hundred two billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 44579 63691 89158 127382 133737 178316 191073 222895 254764 267474 318455 356632 382146 445790 509528 534948 636910 668685 764292 891580 955365 1069896 1273820 1337370 1528584 1783160 1910730 2547640 2630161 2674740 3757769 3821460 5260322 5349480 7515538 7642920 7890483 10520644 11273307 13150805 15031076 15780966 18788845 21041288 22546614 26301610 30062152 31561932 37577690 39452415 45093228 52603220 56366535 63123864 75155380 78904830 90186456 105206440 112733070 150310760 157809660 225466140 315619320 450932280 2839281089 5678562178 8517843267 11357124356 14196405445 17035686534 22714248712 28392810890 34071373068 42589216335 56785621780 68142746136 85178432670 113571243560 167517584251 170356865340 335035168502 340713730680 502552752753 670070337004 837587921255 1005105505506 1340140674008 1675175842510 2010211011012 2512763763765 3350351685020 4020422022024 5025527527530 6700703370040 10051055055060 20102110110120