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20231220031 = 1131417189229
BaseRepresentation
bin10010110101110111…
…111110101100111111
31221012221121110111121
4102311313332230333
5312413143020111
613143305131411
71314230350531
oct226567765477
957187543447
1020231220031
118641aa6060
123b07489b67
131ba5573319
14d9ccb3851
157d61e0871
hex4b5dfeb3f

20231220031 has 64 divisors (see below), whose sum is σ = 24037171200. Its totient is φ = 16853760000.

The previous prime is 20231220017. The next prime is 20231220041. The reversal of 20231220031 is 13002213202.

It is not a de Polignac number, because 20231220031 - 217 = 20231088959 is a prime.

It is a super-2 number, since 2×202312200312 (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 = 20231219987 and 20231220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231220041) 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, 88345825 + ... + 88346053.

It is an arithmetic number, because the mean of its divisors is an integer number (375580800).

Almost surely, 220231220031 is an apocalyptic number.

20231220031 is a deficient number, since it is larger than the sum of its proper divisors (3805951169).

20231220031 is a wasteful number, since it uses less digits than its factorization.

20231220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20231220031 its reverse (13002213202), we get a palindrome (33233433233).

The spelling of 20231220031 in words is "twenty billion, two hundred thirty-one million, two hundred twenty thousand, thirty-one".

Divisors: 1 11 31 41 71 89 229 341 451 781 979 1271 2201 2519 2759 2911 3649 6319 7099 9389 13981 16259 20381 24211 30349 32021 40139 69509 78089 90241 103279 113119 178849 195889 224191 259079 291059 504029 631811 666619 835621 992651 1244309 1447051 2154779 2849869 3201649 5544319 6949921 7332809 8031449 9191831 15917561 20665189 25904251 44858581 59329091 88345939 227317079 284946761 493444391 652620001 1839201821 20231220031