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312123213031 = 7532773037193
BaseRepresentation
bin1001000101010111111…
…11100100010011100111
31002211122101220001121011
410202223333210103213
520103212020304111
6355215403403051
731356463351630
oct4425377442347
91084571801534
10312123213031
11110409464723
12505a9523487
1323582673946
141116d274887
1581bbb6c021
hex48abfe44e7

312123213031 has 16 divisors (see below), whose sum is σ = 364754850624. Its totient is φ = 261538677504.

The previous prime is 312123213029. The next prime is 312123213041. The reversal of 312123213031 is 130312321213.

It is a cyclic number.

It is not a de Polignac number, because 312123213031 - 21 = 312123213029 is a prime.

It is a super-2 number, since 2×3121232130312 (a number of 24 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 = 312123212993 and 312123213011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123213001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415830 + ... + 1621363.

It is an arithmetic number, because the mean of its divisors is an integer number (22797178164).

Almost surely, 2312123213031 is an apocalyptic number.

312123213031 is a deficient number, since it is larger than the sum of its proper divisors (52631637593).

312123213031 is a wasteful number, since it uses less digits than its factorization.

312123213031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037530.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312123213031 its reverse (130312321213), we get a palindrome (442435534244).

The spelling of 312123213031 in words is "three hundred twelve billion, one hundred twenty-three million, two hundred thirteen thousand, thirty-one".

Divisors: 1 7 53 277 371 1939 14681 102767 3037193 21260351 160971229 841302461 1126798603 5889117227 44589030433 312123213031