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10020022120 = 2353147171929
BaseRepresentation
bin10010101010011110…
…10110011101101000
3221212022102212022101
421111033112131220
5131010111201440
64334135503144
7503206532323
oct112517263550
927768385271
1010020022120
11428204aa19
121b37827ab4
13c38baa994
146b0a957ba
153d9a1569a
hex2553d6768

10020022120 has 64 divisors (see below), whose sum is σ = 23767603200. Its totient is φ = 3796170240.

The previous prime is 10020022099. The next prime is 10020022127. The reversal of 10020022120 is 2122002001.

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 = 10020022097 and 10020022106.

It is not an unprimeable number, because it can be changed into a prime (10020022127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27685 + ... + 144244.

It is an arithmetic number, because the mean of its divisors is an integer number (371368800).

Almost surely, 210020022120 is an apocalyptic number.

10020022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020022120 is an abundant number, since it is smaller than the sum of its proper divisors (13747581080).

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

10020022120 is a wasteful number, since it uses less digits than its factorization.

10020022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172018 (or 172014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020022120 its reverse (2122002001), we get a palindrome (12142024121).

The spelling of 10020022120 in words is "ten billion, twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2914 5828 7285 11656 14570 29140 58280 171929 343858 687716 859645 1375432 1719290 3438580 5329799 6877160 8080663 10659598 16161326 21319196 26648995 32322652 40403315 42638392 53297990 64645304 80806630 106595980 161613260 213191960 250500553 323226520 501001106 1002002212 1252502765 2004004424 2505005530 5010011060 10020022120