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313114333401 = 33411553182131
BaseRepresentation
bin1001000111001110001…
…00011001000011011001
31002221012110212012011000
410203213010121003121
520112224232132101
6355502010455213
731423156630452
oct4434704310331
91087173765130
10313114333401
11110877973071
1250825434509
13236acac21bc
1411224b50129
158228b97486
hex48e71190d9

313114333401 has 32 divisors (see below), whose sum is σ = 475495655040. Its totient is φ = 203519347200.

The previous prime is 313114333397. The next prime is 313114333403. The reversal of 313114333401 is 104333411313.

313114333401 is a `hidden beast` number, since 3 + 1 + 311 + 4 + 3 + 3 + 340 + 1 = 666.

It is not a de Polignac number, because 313114333401 - 22 = 313114333397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313114333403) 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 31 ways as a sum of consecutive naturals, for example, 1628106 + ... + 1810236.

It is an arithmetic number, because the mean of its divisors is an integer number (14859239220).

Almost surely, 2313114333401 is an apocalyptic number.

It is an amenable number.

313114333401 is a deficient number, since it is larger than the sum of its proper divisors (162381321639).

313114333401 is a wasteful number, since it uses less digits than its factorization.

313114333401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183734 (or 183728 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313114333401 its reverse (104333411313), we get a palindrome (417447744714).

The spelling of 313114333401 in words is "three hundred thirteen billion, one hundred fourteen million, three hundred thirty-three thousand, four hundred one".

Divisors: 1 3 9 27 41 123 369 1107 1553 4659 13977 41931 63673 182131 191019 546393 573057 1639179 1719171 4917537 7467371 22402113 67206339 201619017 282849443 848548329 2545644987 7636934961 11596827163 34790481489 104371444467 313114333401