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2023122031 = 73117353891
BaseRepresentation
bin111100010010110…
…0110010001101111
312012222212020200121
41320211212101233
513120404401111
6532430305411
7101064152650
oct17045462157
95188766617
102023122031
11948aaa587
12485658267
132631b1838
14152997527
15bc92d871
hex7896646f

2023122031 has 16 divisors (see below), whose sum is σ = 2400565248. Its totient is φ = 1668434400.

The previous prime is 2023121963. The next prime is 2023122061. The reversal of 2023122031 is 1302213202.

It is a cyclic number.

It is not a de Polignac number, because 2023122031 - 211 = 2023119983 is a prime.

It is a super-2 number, since 2×20231220312 = 8186045504635129922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2023121996 and 2023122014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023122061) 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, 10596 + ... + 64486.

It is an arithmetic number, because the mean of its divisors is an integer number (150035328).

Almost surely, 22023122031 is an apocalyptic number.

2023122031 is a deficient number, since it is larger than the sum of its proper divisors (377443217).

2023122031 is a wasteful number, since it uses less digits than its factorization.

2023122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54102.

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

The square root of 2023122031 is about 44979.1288377176. The cubic root of 2023122031 is about 1264.7577805956.

Adding to 2023122031 its reverse (1302213202), we get a palindrome (3325335233).

The spelling of 2023122031 in words is "two billion, twenty-three million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 7 31 173 217 1211 5363 37541 53891 377237 1670621 9323143 11694347 65262001 289017433 2023122031