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20013121620 = 22325223498583
BaseRepresentation
bin10010101000111000…
…000000000001010100
31220122202012220201200
4102220320000001110
5311441324342440
613105514352500
71305641504232
oct225070000124
956582186650
1020013121620
11853a981538
123a6642b730
131b6c3202cb
14d7bd3d952
157c1eadc30
hex4a8e00054

20013121620 has 72 divisors (see below), whose sum is σ = 60978817536. Its totient is φ = 5312889792.

The previous prime is 20013121567. The next prime is 20013121637. The reversal of 20013121620 is 2612131002.

20013121620 is a `hidden beast` number, since 20 + 0 + 1 + 3 + 1 + 21 + 620 = 666.

It is a super-2 number, since 2×200131216202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20013121593 and 20013121602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209152 + ... + 289431.

Almost surely, 220013121620 is an apocalyptic number.

20013121620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013121620 is an abundant number, since it is smaller than the sum of its proper divisors (40965695916).

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

20013121620 is a wasteful number, since it uses less digits than its factorization.

20013121620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498821 (or 498816 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20013121620 its reverse (2612131002), we get a palindrome (22625252622).

The spelling of 20013121620 in words is "twenty billion, thirteen million, one hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6690 8028 10035 13380 20070 40140 498583 997166 1495749 1994332 2492915 2991498 4487247 4985830 5982996 7478745 8974494 9971660 14957490 17948988 22436235 29914980 44872470 89744940 111184009 222368018 333552027 444736036 555920045 667104054 1000656081 1111840090 1334208108 1667760135 2001312162 2223680180 3335520270 4002624324 5003280405 6671040540 10006560810 20013121620