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20100110120 = 23510925118367
BaseRepresentation
bin10010101110000011…
…110101011100101000
31220212210220101111222
4102232003311130220
5312131112010440
613122303041212
71311046055066
oct225603653450
956783811458
1020100110120
118584a96262
123a8b5a0208
131b843595ac
14d89705036
157c99432b5
hex4ae0f5728

20100110120 has 64 divisors (see below), whose sum is σ = 45824486400. Its totient is φ = 7934112000.

The previous prime is 20100110077. The next prime is 20100110141. The reversal of 20100110120 is 2101100102.

It is a super-2 number, since 2×201001101202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 20100110098 and 20100110107.

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, 1085177 + ... + 1103543.

It is an arithmetic number, because the mean of its divisors is an integer number (716007600).

Almost surely, 220100110120 is an apocalyptic number.

20100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100110120 is an abundant number, since it is smaller than the sum of its proper divisors (25724376280).

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

20100110120 is a wasteful number, since it uses less digits than its factorization.

20100110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18738 (or 18734 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20100110120 its reverse (2101100102), we get a palindrome (22201210222).

The spelling of 20100110120 in words is "twenty billion, one hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 251 436 502 545 872 1004 1090 1255 2008 2180 2510 4360 5020 10040 18367 27359 36734 54718 73468 91835 109436 136795 146936 183670 218872 273590 367340 547180 734680 1094360 2002003 4004006 4610117 8008012 9220234 10010015 16016024 18440468 20020030 23050585 36880936 40040060 46101170 80080120 92202340 184404680 502502753 1005005506 2010011012 2512513765 4020022024 5025027530 10050055060 20100110120