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20311332131 = 1723266319507
BaseRepresentation
bin10010111010101001…
…100101010100100011
31221102112100120122102
4102322221211110203
5313044200112011
613155250201015
71316222321516
oct227251452443
957375316572
1020311332131
118683243502
123b2a28316b
131bb904272c
14da97a8d7d
157dd26773b
hex4baa65523

20311332131 has 16 divisors (see below), whose sum is σ = 22450742784. Its totient is φ = 18277590144.

The previous prime is 20311332121. The next prime is 20311332143. The reversal of 20311332131 is 13123311302.

It is a cyclic number.

It is not a de Polignac number, because 20311332131 - 222 = 20307137827 is a prime.

It is a super-3 number, since 3×203113321313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20311332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031480 + ... + 1050986.

It is an arithmetic number, because the mean of its divisors is an integer number (1403171424).

Almost surely, 220311332131 is an apocalyptic number.

20311332131 is a deficient number, since it is larger than the sum of its proper divisors (2139410653).

20311332131 is a wasteful number, since it uses less digits than its factorization.

20311332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22210.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20311332131 its reverse (13123311302), we get a palindrome (33434643433).

The spelling of 20311332131 in words is "twenty billion, three hundred eleven million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 17 23 391 2663 19507 45271 61249 331619 448661 1041233 7627237 51947141 883101397 1194784243 20311332131