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2023931137 is a prime number
BaseRepresentation
bin111100010100010…
…1011110100000001
312020001101100120111
41320220223310001
513121111244022
6532455511321
7101104062604
oct17050536401
95201340514
102023931137
11949502468
12485988541
13263405bb7
14152b2833b
15bca3d477
hex78a2bd01

2023931137 has 2 divisors, whose sum is σ = 2023931138. Its totient is φ = 2023931136.

The previous prime is 2023931123. The next prime is 2023931153. The reversal of 2023931137 is 7311393202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2023560256 + 370881 = 44984^2 + 609^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023931137 - 215 = 2023898369 is a prime.

It is a super-2 number, since 2×20239311372 = 8192594494636225538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023931099 and 2023931108.

It is not a weakly prime, because it can be changed into another prime (2023931177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011965568 + 1011965569.

It is an arithmetic number, because the mean of its divisors is an integer number (1011965569).

Almost surely, 22023931137 is an apocalyptic number.

It is an amenable number.

2023931137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023931137 is an equidigital number, since it uses as much as digits as its factorization.

2023931137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 2023931137 is about 44988.1221768591. The cubic root of 2023931137 is about 1264.9263627349.

The spelling of 2023931137 in words is "two billion, twenty-three million, nine hundred thirty-one thousand, one hundred thirty-seven".