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313012132323 = 311101103911777
BaseRepresentation
bin1001000111000001111…
…10100001100111100011
31002220221100112211121220
410203200332201213203
520112022101213243
6355443520150123
731420506140232
oct4434076414743
91086840484556
10313012132323
11110825208970
12507b7168343
132369488a8a7
1411215348b19
15821ec0a783
hex48e0fa19e3

313012132323 has 32 divisors (see below), whose sum is σ = 464262769152. Its totient is φ = 186002304000.

The previous prime is 313012132309. The next prime is 313012132331. The reversal of 313012132323 is 323231210313.

It is not a de Polignac number, because 313012132323 - 221 = 313010035171 is a prime.

It is a super-2 number, since 2×3130121323232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313012132293 and 313012132302.

It is not an unprimeable number, because it can be changed into a prime (313012132343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112590 + ... + 799187.

It is an arithmetic number, because the mean of its divisors is an integer number (14508211536).

Almost surely, 2313012132323 is an apocalyptic number.

313012132323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

313012132323 is a deficient number, since it is larger than the sum of its proper divisors (151250636829).

313012132323 is a wasteful number, since it uses less digits than its factorization.

313012132323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911995.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313012132323 its reverse (323231210313), we get a palindrome (636243342636).

The spelling of 313012132323 in words is "three hundred thirteen billion, twelve million, one hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 11 33 101 103 303 309 1111 1133 3333 3399 10403 31209 114433 343299 911777 2735331 10029547 30088641 92089477 93913031 276268431 281739093 1012984247 1033043341 3038952741 3099130023 9485216131 28455648393 104337377441 313012132323