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313012240101 = 32113785452427
BaseRepresentation
bin1001000111000001111…
…10111011111011100101
31002220221100202022110200
410203200332323323211
520112022113140401
6355443522341113
731420510066401
oct4434076737345
91086840668420
10313012240101
11110825281940
12507b71ba799
13236948c7972
1411215376101
15821ec2c686
hex48e0fbbee5

313012240101 has 24 divisors (see below), whose sum is σ = 506561993184. Its totient is φ = 184577240160.

The previous prime is 313012240063. The next prime is 313012240129. The reversal of 313012240101 is 101042210313.

313012240101 is a `hidden beast` number, since 313 + 0 + 12 + 240 + 101 = 666.

It is not a de Polignac number, because 313012240101 - 211 = 313012238053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313012240301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42722551 + ... + 42729876.

It is an arithmetic number, because the mean of its divisors is an integer number (21106749716).

Almost surely, 2313012240101 is an apocalyptic number.

It is an amenable number.

313012240101 is a deficient number, since it is larger than the sum of its proper divisors (193549753083).

313012240101 is a wasteful number, since it uses less digits than its factorization.

313012240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85452481 (or 85452478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 313012240101 its reverse (101042210313), we get a palindrome (414054450414).

The spelling of 313012240101 in words is "three hundred thirteen billion, twelve million, two hundred forty thousand, one hundred one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 85452427 256357281 769071843 939976697 2819930091 3161739799 8459790273 9485219397 28455658191 34779137789 104337413367 313012240101