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20020010120 = 23511534092099
BaseRepresentation
bin10010101001010010…
…010001110010001000
31220200020011212222022
4102221102101302020
5312000110310440
613110322144012
71306054164305
oct225122216210
956606155868
1020020010120
118543856a10
123a687b2008
131b70892846
14d7cc140ac
157c28becb5
hex4a9491c88

20020010120 has 128 divisors (see below), whose sum is σ = 50213520000. Its totient is φ = 7121786880.

The previous prime is 20020010111. The next prime is 20020010141. The reversal of 20020010120 is 2101002002.

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 = 20020010098 and 20020010107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9536831 + ... + 9538929.

It is an arithmetic number, because the mean of its divisors is an integer number (392293125).

Almost surely, 220020010120 is an apocalyptic number.

20020010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106760000).

20020010120 is an abundant number, since it is smaller than the sum of its proper divisors (30193509880).

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

20020010120 is a wasteful number, since it uses less digits than its factorization.

20020010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2579 counting only the distinct ones).

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

Adding to 20020010120 its reverse (2101002002), we get a palindrome (22121012122).

The spelling of 20020010120 in words is "twenty billion, twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 409 424 440 530 583 818 1060 1166 1636 2045 2099 2120 2332 2915 3272 4090 4198 4499 4664 5830 8180 8396 8998 10495 11660 16360 16792 17996 20990 21677 22495 23089 23320 35992 41980 43354 44990 46178 83960 86708 89980 92356 108385 111247 115445 173416 179960 184712 216770 222494 230890 238447 433540 444988 461780 476894 556235 858491 867080 889976 923560 953788 1112470 1192235 1223717 1716982 1907576 2224940 2384470 2447434 3433964 4292455 4449880 4768940 4894868 6118585 6867928 8584910 9443401 9537880 9789736 12237170 17169820 18886802 24474340 34339640 37773604 45500023 47217005 48948680 75547208 91000046 94434010 182000092 188868020 227500115 364000184 377736040 455000230 500500253 910000460 1001000506 1820000920 2002001012 2502501265 4004002024 5005002530 10010005060 20020010120