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20013131243 = 71923371511171
BaseRepresentation
bin10010101000111000…
…000010010111101011
31220122202020101221002
4102220320002113223
5311441330144433
613105514505215
71305641544260
oct225070022753
956582211832
1020013131243
11853a988796
123a6643520b
131b6c3247c1
14d7bd43267
157c1eb19e8
hex4a8e025eb

20013131243 has 64 divisors (see below), whose sum is σ = 25994772480. Its totient is φ = 15011568000.

The previous prime is 20013131231. The next prime is 20013131269. The reversal of 20013131243 is 34213131002.

It is a cyclic number.

It is not a de Polignac number, because 20013131243 - 28 = 20013130987 is a prime.

It is a super-3 number, since 3×200131312433 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20013131213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17090048 + ... + 17091218.

It is an arithmetic number, because the mean of its divisors is an integer number (406168320).

Almost surely, 220013131243 is an apocalyptic number.

20013131243 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

20013131243 is a deficient number, since it is larger than the sum of its proper divisors (5981641237).

20013131243 is a wasteful number, since it uses less digits than its factorization.

20013131243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20013131243 its reverse (34213131002), we get a palindrome (54226262245).

The spelling of 20013131243 in words is "twenty billion, thirteen million, one hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 7 19 23 37 133 151 161 259 437 703 851 1057 1171 2869 3059 3473 4921 5587 5957 8197 16169 20083 22249 24311 26933 39109 43327 65987 106153 113183 128501 155743 176821 188531 303289 461909 511727 743071 823213 899507 996521 1237747 2441519 3359599 3582089 4066883 5762491 6542377 6975647 17090633 18933899 23517193 28468181 45796639 77270777 124305163 132537293 150474671 540895439 870136141 1053322697 2859018749 20013131243