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20231332031 = 192294741117
BaseRepresentation
bin10010110101111000…
…011010000010111111
31221012221211011010202
4102311320122002333
5312413210111111
613143311354115
71314231325211
oct226570320277
957187734122
1020231332031
118642072219
123b0752293b
131ba55b22b1
14d9cd025b1
157d6213b3b
hex4b5e1a0bf

20231332031 has 24 divisors (see below), whose sum is σ = 22558979520. Its totient is φ = 18111433536.

The previous prime is 20231331977. The next prime is 20231332057. The reversal of 20231332031 is 13023313202.

It is a de Polignac number, because none of the positive numbers 2k-20231332031 is a prime.

It is a super-2 number, since 2×202313320312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20231331994 and 20231332012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231332061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471485 + ... + 512601.

It is an arithmetic number, because the mean of its divisors is an integer number (939957480).

Almost surely, 220231332031 is an apocalyptic number.

20231332031 is a deficient number, since it is larger than the sum of its proper divisors (2327647489).

20231332031 is a wasteful number, since it uses less digits than its factorization.

20231332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41231 (or 41212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20231332031 its reverse (13023313202), we get a palindrome (33254645233).

The spelling of 20231332031 in words is "twenty billion, two hundred thirty-one million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 19 29 47 361 551 893 1363 10469 16967 25897 41117 492043 781223 1192393 1932499 14843237 22655467 36717481 56042471 430453873 697632139 1064806949 20231332031