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20013141920 = 2551011238437
BaseRepresentation
bin10010101000111000…
…000100111110100000
31220122202020221120112
4102220320010332200
5311441331020140
613105515030452
71305641620352
oct225070047640
956582227515
1020013141920
11853a995812
123a6643b428
131b6c329615
14d7bd470d2
157c1eb4c65
hex4a8e04fa0

20013141920 has 48 divisors (see below), whose sum is σ = 47749215528. Its totient is φ = 7925990400.

The previous prime is 20013141877. The next prime is 20013141923. The reversal of 20013141920 is 2914131002.

It can be written as a sum of positive squares in 4 ways, for example, as 19402261264 + 610880656 = 139292^2 + 24716^2 .

It is a super-2 number, since 2×200131419202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20013141923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603059 + ... + 635378.

Almost surely, 220013141920 is an apocalyptic number.

20013141920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013141920 is an abundant number, since it is smaller than the sum of its proper divisors (27736073608).

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

20013141920 is a wasteful number, since it uses less digits than its factorization.

20013141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238553 (or 1238545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 20013141920 its reverse (2914131002), we get a palindrome (22927272922).

The spelling of 20013141920 in words is "twenty billion, thirteen million, one hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 1238437 2476874 4953748 6192185 9907496 12384370 19814992 24768740 39629984 49537480 99074960 125082137 198149920 250164274 500328548 625410685 1000657096 1250821370 2001314192 2501642740 4002628384 5003285480 10006570960 20013141920