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3122130024 = 23321329115021
BaseRepresentation
bin1011101000010111…
…1110110001101000
322001120211122020100
42322011332301220
522343231130044
61233450025400
7140240444616
oct27205766150
98046748210
103122130024
1113623a7552
12731718260
133a9aa5b20
142189186b6
1513416a869
hexba17ec68

3122130024 has 96 divisors (see below), whose sum is σ = 9420301800. Its totient is φ = 927521280.

The previous prime is 3122129987. The next prime is 3122130049. The reversal of 3122130024 is 4200312213.

It can be written as a sum of positive squares in 4 ways, for example, as 2983125924 + 139004100 = 54618^2 + 11790^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3122129979 and 3122130006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30367 + ... + 84654.

Almost surely, 23122130024 is an apocalyptic number.

It is an amenable number.

3122130024 is an abundant number, since it is smaller than the sum of its proper divisors (6298171776).

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

3122130024 is a wasteful number, since it uses less digits than its factorization.

3122130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115075 (or 115068 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3122130024 is about 55876.0236953203. The cubic root of 3122130024 is about 1461.5611661171.

Adding to 3122130024 its reverse (4200312213), we get a palindrome (7322442237).

The spelling of 3122130024 in words is "three billion, one hundred twenty-two million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 115021 230042 345063 460084 690126 920168 1035189 1380252 1495273 2070378 2760504 2990546 3335609 4140756 4485819 5981092 6671218 8281512 8971638 10006827 11962184 13342436 13457457 17943276 20013654 26684872 26914914 30020481 35886552 40027308 43362917 53829828 60040962 80054616 86725834 107659656 120081924 130088751 173451668 240163848 260177502 346903336 390266253 520355004 780532506 1040710008 1561065012 3122130024