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20013401331 = 3271122625397
BaseRepresentation
bin10010101000111001…
…000100010011110011
31220122202202010102100
4102220321010103303
5311441412320311
613105524351443
71305644050560
oct225071042363
956582663370
1020013401331
118540052700
123a66545583
131b6c3ba711
14d7bdb3867
157c2016a56
hex4a8e444f3

20013401331 has 36 divisors (see below), whose sum is σ = 36314505136. Its totient is φ = 10396568160.

The previous prime is 20013401297. The next prime is 20013401357. The reversal of 20013401331 is 13310431002.

20013401331 is a `hidden beast` number, since 200 + 134 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 20013401331 - 26 = 20013401267 is a prime.

It is a super-2 number, since 2×200134013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20013401371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1305076 + ... + 1320321.

Almost surely, 220013401331 is an apocalyptic number.

20013401331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20013401331 is a deficient number, since it is larger than the sum of its proper divisors (16301103805).

20013401331 is a wasteful number, since it uses less digits than its factorization.

20013401331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625432 (or 2625418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20013401331 its reverse (13310431002), we get a palindrome (33323832333).

The spelling of 20013401331 in words is "twenty billion, thirteen million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 2625397 7876191 18377779 23628573 28879367 55133337 86638101 165400011 202155569 259914303 317673037 606466707 953019111 1819400121 2223711259 2859057333 6671133777 20013401331