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20020110120100 = 2252375410840573
BaseRepresentation
bin1001000110101010010111…
…00011010101010010100100
32121212220101220012110021201
410203111023203111102210
510111002141142320400
6110325040035452244
74134255664150426
oct443251343252244
977786356173251
1020020110120100
11641953226aa02
1222b4046457084
13b22b7173659c
144d2d9b00a816
1524ab8060506a
hex12354b8d54a4

20020110120100 has 36 divisors (see below), whose sum is σ = 44617791373204. Its totient is φ = 7791610423680.

The previous prime is 20020110120071. The next prime is 20020110120107. The reversal of 20020110120100 is 102101102002.

It can be written as a sum of positive squares in 6 ways, for example, as 61857658944 + 19958252461156 = 248712^2 + 4467466^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20020110120107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705416587 + ... + 2705423986.

Almost surely, 220020110120100 is an apocalyptic number.

20020110120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020110120100 is an abundant number, since it is smaller than the sum of its proper divisors (24597681253104).

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

20020110120100 is a wasteful number, since it uses less digits than its factorization.

20020110120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410840624 (or 5410840617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20020110120100 its reverse (102101102002), we get a palindrome (20122211222102).

The spelling of 20020110120100 in words is "twenty trillion, twenty billion, one hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 5410840573 10821681146 21643362292 27054202865 54108405730 108216811460 135271014325 200201101201 270542028650 400402202402 541084057300 800804404804 1001005506005 2002011012010 4004022024020 5005027530025 10010055060050 20020110120100