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31314225124 = 22713737271621
BaseRepresentation
bin11101001010011110…
…010010011111100100
32222211100020110022201
4131022132102133210
51003112420200444
622215140304244
72155665343660
oct351236223744
988740213281
1031314225124
111230a0778a6
12609b0a2084
132c50740ac0
141730bcd8a0
15c341c8dd4
hex74a7927e4

31314225124 has 96 divisors (see below), whose sum is σ = 68506221056. Its totient is φ = 12194012160.

The previous prime is 31314225113. The next prime is 31314225169. The reversal of 31314225124 is 42152241313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31314225092 and 31314225101.

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 31 ways as a sum of consecutive naturals, for example, 19317034 + ... + 19318654.

Almost surely, 231314225124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314225124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253110528).

31314225124 is an abundant number, since it is smaller than the sum of its proper divisors (37191995932).

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

31314225124 is a wasteful number, since it uses less digits than its factorization.

31314225124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2443 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

Adding to 31314225124 its reverse (42152241313), we get a palindrome (73466466437).

The spelling of 31314225124 in words is "thirty-one billion, three hundred fourteen million, two hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 511 727 949 1022 1454 1621 1898 2044 2908 3242 3796 5089 6484 6643 9451 10178 11347 13286 18902 20356 21073 22694 26572 37804 42146 45388 53071 66157 84292 106142 118333 132314 147511 212284 236666 264628 295022 371497 473332 590044 689923 742994 828331 1178467 1379846 1485988 1538329 1656662 2356934 2759692 3076658 3313324 4713868 4829461 6153316 8249269 9658922 10768303 15320071 16498538 19317844 21536606 30640142 32997076 43073212 61280284 86028091 107240497 172056182 214480994 344112364 428961988 602196637 1118365183 1204393274 2236730366 2408786548 4473460732 7828556281 15657112562 31314225124