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20312332131 = 3713435693041
BaseRepresentation
bin10010111010101101…
…011001011101100011
31221102121020101101110
4102322231121131203
5313044424112011
613155323434403
71316233655130
oct227255313543
957377211343
1020312332131
118683866853
123b2a685a03
131bb9302950
14da9989587
157dd3b3ba6
hex4bab59763

20312332131 has 64 divisors (see below), whose sum is σ = 34179425280. Its totient is φ = 10443202560.

The previous prime is 20312332129. The next prime is 20312332133. The reversal of 20312332131 is 13123321302.

It is an interprime number because it is at equal distance from previous prime (20312332129) and next prime (20312332133).

It is not a de Polignac number, because 20312332131 - 21 = 20312332129 is a prime.

It is a super-2 number, since 2×203123321312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20312332098 and 20312332107.

It is not an unprimeable number, because it can be changed into a prime (20312332133) 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, 6677971 + ... + 6681011.

It is an arithmetic number, because the mean of its divisors is an integer number (534053520).

Almost surely, 220312332131 is an apocalyptic number.

20312332131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20312332131 is a deficient number, since it is larger than the sum of its proper divisors (13867093149).

20312332131 is a wasteful number, since it uses less digits than its factorization.

20312332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20312332131 its reverse (13123321302), we get a palindrome (33435653433).

The spelling of 20312332131 in words is "twenty billion, three hundred twelve million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 559 569 903 1677 1707 3041 3913 3983 7397 9123 11739 11949 21287 22191 24467 39533 51779 63861 73401 118599 130763 155337 171269 276731 318071 392289 513807 830193 915341 954213 1699919 1730329 2226497 2746023 5099757 5190987 6679491 11899433 12112303 22494277 35698299 36336909 67482831 74404147 157459939 223212441 472379817 520829029 967253911 1562487087 2901761733 6770777377 20312332131