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311112131424 = 2534636999463
BaseRepresentation
bin1001000011011111011…
…10100110001101100000
31002202000221100210101020
410201233232212031200
520044124201201144
6354531204405440
731322435325063
oct4415756461540
91082027323336
10311112131424
1110aa3a762096
12503669a6880
13234510567c3
14110b4c808da
15815ceec419
hex486fba6360

311112131424 has 48 divisors (see below), whose sum is σ = 818433326592. Its totient is φ = 103480046208.

The previous prime is 311112131419. The next prime is 311112131431. The reversal of 311112131424 is 424131211113.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311112131394 and 311112131403.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3455284 + ... + 3544179.

It is an arithmetic number, because the mean of its divisors is an integer number (17050694304).

Almost surely, 2311112131424 is an apocalyptic number.

It is an amenable number.

311112131424 is an abundant number, since it is smaller than the sum of its proper divisors (507321195168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311112131424 is a wasteful number, since it uses less digits than its factorization.

311112131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999939 (or 6999931 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 311112131424 its reverse (424131211113), we get a palindrome (735243342537).

The spelling of 311112131424 in words is "three hundred eleven billion, one hundred twelve million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 44448 6999463 13998926 20998389 27997852 41996778 55995704 83993556 111991408 167987112 223982816 335974224 671948448 3240751369 6481502738 9722254107 12963005476 19444508214 25926010952 38889016428 51852021904 77778032856 103704043808 155556065712 311112131424