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312023223031 = 13174130894463
BaseRepresentation
bin1001000101001100000…
…10001000101011110111
31002211101102202001002211
410202212002020223313
520103010421114111
6355201432314251
731354140430612
oct4424602105367
91084342661084
10312023223031
11110367a7a763
125057bb42987
1323567a34870
141115dc87179
1581b2eba521
hex48a6088af7

312023223031 has 16 divisors (see below), whose sum is σ = 336402218880. Its totient is φ = 287698337280.

The previous prime is 312023222957. The next prime is 312023223037. The reversal of 312023223031 is 130322320213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312023223031 is a prime.

It is a super-2 number, since 2×3120232230312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312023222993 and 312023223011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312023223037) 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, 69911106 + ... + 69915568.

It is an arithmetic number, because the mean of its divisors is an integer number (21025138680).

Almost surely, 2312023223031 is an apocalyptic number.

312023223031 is a deficient number, since it is larger than the sum of its proper divisors (24378995849).

312023223031 is a wasteful number, since it uses less digits than its factorization.

312023223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312023223031 its reverse (130322320213), we get a palindrome (442345543244).

The spelling of 312023223031 in words is "three hundred twelve billion, twenty-three million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 13 1741 3089 4463 22633 40157 58019 5377949 7770083 13786207 69913337 101011079 179220691 24001786387 312023223031