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313684666911 = 327111907237361
BaseRepresentation
bin1001001000010010001…
…00000010101000011111
31002222200020001010122100
410210021010002220133
520114411233320121
6400034343020143
731443253450410
oct4441104025037
91088606033570
10313684666911
1111103a8a9080
125096443a653
1323771001855
141127a7b3807
15825dca5026
hex4909102a1f

313684666911 has 48 divisors (see below), whose sum is σ = 565202596608. Its totient is φ = 162866937600.

The previous prime is 313684666901. The next prime is 313684666921. The reversal of 313684666911 is 119666486313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313684666901) and next prime (313684666921).

It is not a de Polignac number, because 313684666911 - 211 = 313684664863 is a prime.

It is a super-4 number, since 4×3136846669114 (a number of 47 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313684666901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202871 + ... + 1440231.

It is an arithmetic number, because the mean of its divisors is an integer number (11775054096).

Almost surely, 2313684666911 is an apocalyptic number.

313684666911 is a deficient number, since it is larger than the sum of its proper divisors (251517929697).

313684666911 is a wasteful number, since it uses less digits than its factorization.

313684666911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239292 (or 239289 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 313684666911 in words is "three hundred thirteen billion, six hundred eighty-four million, six hundred sixty-six thousand, nine hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1907 5721 13349 17163 20977 40047 62931 120141 146839 188793 237361 440517 712083 1321551 1661527 2136249 2610971 4984581 7832913 14953743 18276797 23498739 54830391 164491173 452647427 1357942281 3168531989 4073826843 4979121697 9505595967 14937365091 28516787901 34853851879 44812095273 104561555637 313684666911