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2112062931 = 35111495303
BaseRepresentation
bin111110111100011…
…1000010111010011
312110012012220200000
41331320320113103
513311142003211
6545324501043
7103224144606
oct17570702723
95405186600
102112062931
11994228160
124ab3aa783
132787526a4
1416070a33d
15c564b656
hex7de385d3

2112062931 has 48 divisors (see below), whose sum is σ = 3475180800. Its totient is φ = 1271207520.

The previous prime is 2112062899. The next prime is 2112062977. The reversal of 2112062931 is 1392602112.

2112062931 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 629 + 31 = 666.

It is not a de Polignac number, because 2112062931 - 25 = 2112062899 is a prime.

It is a super-2 number, since 2×21120629312 = 8921619649008621522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112062895 and 2112062904.

It is not an unprimeable number, because it can be changed into a prime (2112062131) 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 47 ways as a sum of consecutive naturals, for example, 395626 + ... + 400928.

It is an arithmetic number, because the mean of its divisors is an integer number (72399600).

Almost surely, 22112062931 is an apocalyptic number.

2112062931 is a deficient number, since it is larger than the sum of its proper divisors (1363117869).

2112062931 is a wasteful number, since it uses less digits than its factorization.

2112062931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5466 counting only the distinct ones).

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

The square root of 2112062931 is about 45957.1858472644. The cubic root of 2112062931 is about 1283.0264751384.

The spelling of 2112062931 in words is "two billion, one hundred twelve million, sixty-two thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 149 243 297 447 891 1341 1639 2673 4023 4917 5303 12069 14751 15909 36207 44253 47727 58333 132759 143181 174999 398277 429543 524997 790147 1288629 1574991 2370441 4724973 7111323 8691617 14174919 21333969 26074851 64001907 78224553 192005721 234673659 704020977 2112062931