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3130213312122 = 231379509998009
BaseRepresentation
bin101101100011001111010…
…000001010011001111010
3102002020121221120220021220
4231203033100022121322
5402241134101441442
610354000010412510
7442102414101501
oct55431720123172
912066557526256
103130213312122
11aa75748a0416
124267a6131136
13199240970010
14ab70884b838
1556656190eec
hex2d8cf40a67a

3130213312122 has 64 divisors (see below), whose sum is σ = 6840759744000. Its totient is φ = 949081655808.

The previous prime is 3130213312073. The next prime is 3130213312129. The reversal of 3130213312122 is 2212133120313.

3130213312122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3130213312092 and 3130213312101.

It is not an unprimeable number, because it can be changed into a prime (3130213312129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637454 + ... + 3635462.

It is an arithmetic number, because the mean of its divisors is an integer number (106886871000).

Almost surely, 23130213312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130213312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420379872000).

3130213312122 is an abundant number, since it is smaller than the sum of its proper divisors (3710546431878).

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

3130213312122 is a wasteful number, since it uses less digits than its factorization.

3130213312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998615.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3130213312122 its reverse (2212133120313), we get a palindrome (5342346432435).

The spelling of 3130213312122 in words is "three trillion, one hundred thirty billion, two hundred thirteen million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 79 158 237 474 509 1018 1027 1527 2054 3054 3081 6162 6617 13234 19851 39702 40211 80422 120633 241266 522743 998009 1045486 1568229 1996018 2994027 3136458 5988054 12974117 25948234 38922351 77844702 78842711 157685422 236528133 473056266 507986581 1015973162 1024955243 1523959743 2049910486 3047919486 3074865729 6149731458 6603825553 13207651106 19811476659 39622953318 40130939899 80261879798 120392819697 240785639394 521702218687 1043404437374 1565106656061 3130213312122