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31310114409 = 3374731711119
BaseRepresentation
bin11101001010001110…
…100110111001101001
32222211001111121111000
4131022032212321221
51003110342130114
622214512225213
72155615403250
oct351216467151
988731447430
1031310114409
111230781a412
12609983b209
132c4c931a22
14173043d797
15c33b65e09
hex74a3a6e69

31310114409 has 64 divisors (see below), whose sum is σ = 54315417600. Its totient is φ = 17454014784.

The previous prime is 31310114369. The next prime is 31310114411. The reversal of 31310114409 is 90441101313.

It is not a de Polignac number, because 31310114409 - 212 = 31310110313 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31310112409) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2810352 + ... + 2821470.

It is an arithmetic number, because the mean of its divisors is an integer number (848678400).

Almost surely, 231310114409 is an apocalyptic number.

It is an amenable number.

31310114409 is a deficient number, since it is larger than the sum of its proper divisors (23005303191).

31310114409 is a wasteful number, since it uses less digits than its factorization.

31310114409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11499 (or 11493 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 31310114409 in words is "thirty-one billion, three hundred ten million, one hundred fourteen thousand, four hundred nine".

Divisors: 1 3 7 9 21 27 47 63 141 189 317 329 423 951 987 1269 2219 2853 2961 6657 8559 8883 11119 14899 19971 33357 44697 59913 77833 100071 104293 134091 233499 300213 312879 402273 522593 700497 938637 1567779 2101491 2815911 3524723 3658151 4703337 10574169 10974453 14110011 24673061 31722507 32923359 74019183 95167521 98770077 165661981 222057549 496985943 666172647 1159633867 1490957829 3478901601 4472873487 10436704803 31310114409