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10020020120 = 235111910111867
BaseRepresentation
bin10010101010011110…
…10101111110011000
3221212022102202120022
421111033111332120
5131010111120440
64334135450012
7503206523435
oct112517257630
927768382508
1010020020120
114282049470
121b37826908
13c38ba9ab6
146b0a94b8c
153d9a14cb5
hex2553d5f98

10020020120 has 128 divisors (see below), whose sum is σ = 26147577600. Its totient is φ = 3417408000.

The previous prime is 10020020119. The next prime is 10020020137. The reversal of 10020020120 is 2102002001.

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 = 10020020098 and 10020020107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838427 + ... + 850293.

It is an arithmetic number, because the mean of its divisors is an integer number (204277950).

Almost surely, 210020020120 is an apocalyptic number.

10020020120 is a gapful number since it is divisible by the number (10) 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 10020020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073788800).

10020020120 is an abundant number, since it is smaller than the sum of its proper divisors (16127557480).

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

10020020120 is a wasteful number, since it uses less digits than its factorization.

10020020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 12005 counting only the distinct ones).

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

Adding to 10020020120 its reverse (2102002001), we get a palindrome (12122022121).

The spelling of 10020020120 in words is "ten billion, twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 101 110 152 190 202 209 220 380 404 418 440 505 760 808 836 1010 1045 1111 1672 1919 2020 2090 2222 3838 4040 4180 4444 5555 7676 8360 8888 9595 11110 11867 15352 19190 21109 22220 23734 38380 42218 44440 47468 59335 76760 84436 94936 105545 118670 130537 168872 211090 225473 237340 261074 422180 450946 474680 522148 652685 844360 901892 1044296 1127365 1198567 1305370 1803784 2254730 2397134 2480203 2610740 4509460 4794268 4960406 5221480 5992835 9018920 9588536 9920812 11985670 12401015 13184237 19841624 22772773 23971340 24802030 26368474 45545546 47942680 49604060 52736948 65921185 91091092 99208120 105473896 113863865 131842370 182182184 227727730 250500503 263684740 455455460 501001006 527369480 910910920 1002002012 1252502515 2004004024 2505005030 5010010060 10020020120