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311234424312 = 23372963882271
BaseRepresentation
bin1001000011101110000…
…01000110110111111000
31002202100110110220200110
410201313001012313320
520044402003034222
6354551253504320
731325451646110
oct4416701066770
91082313426613
10311234424312
1110aaa279a599
125039b9420a0
13234704a4266
14110c71d6040
158168b0730c
hex4877046df8

311234424312 has 64 divisors (see below), whose sum is σ = 919904716800. Its totient is φ = 85857770880.

The previous prime is 311234424299. The next prime is 311234424329. The reversal of 311234424312 is 213424432113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311234424312.

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 15 ways as a sum of consecutive naturals, for example, 31936264 + ... + 31946007.

It is an arithmetic number, because the mean of its divisors is an integer number (14373511200).

Almost surely, 2311234424312 is an apocalyptic number.

It is an amenable number.

311234424312 is an abundant number, since it is smaller than the sum of its proper divisors (608670292488).

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

311234424312 is a wasteful number, since it uses less digits than its factorization.

311234424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63882316 (or 63882312 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 311234424312 its reverse (213424432113), we get a palindrome (524658856425).

The spelling of 311234424312 in words is "three hundred eleven billion, two hundred thirty-four million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 63882271 127764542 191646813 255529084 383293626 447175897 511058168 766587252 894351794 1341527691 1533174504 1788703588 1852585859 2683055382 3577407176 3705171718 5366110764 5557757577 7410343436 10732221528 11115515154 12968101013 14820686872 22231030308 25936202026 38904303039 44462060616 51872404052 77808606078 103744808104 155617212156 311234424312