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53223152130 = 23259716213761
BaseRepresentation
bin110001100100010110…
…001101101000000010
312002101012202021010200
4301210112031220002
51333000111332010
640241140510030
73562630220511
oct614426155002
9162335667120
1053223152130
1120632099a45
12a3943ab316
135032756635
14280c824678
1515b7817cc0
hexc6458da02

53223152130 has 96 divisors (see below), whose sum is σ = 139930238448. Its totient is φ = 14034124800.

The previous prime is 53223152123. The next prime is 53223152137. The reversal of 53223152130 is 3125132235.

It is a happy number.

53223152130 is a `hidden beast` number, since 5 + 322 + 315 + 21 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53223152123) and next prime (53223152137).

It can be written as a sum of positive squares in 8 ways, for example, as 27571606209 + 25651545921 = 166047^2 + 160161^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53223152094 and 53223152103.

It is not an unprimeable number, because it can be changed into a prime (53223152137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14149450 + ... + 14153210.

Almost surely, 253223152130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53223152130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69965119224).

53223152130 is an abundant number, since it is smaller than the sum of its proper divisors (86707086318).

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

53223152130 is a wasteful number, since it uses less digits than its factorization.

53223152130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 53223152130 its reverse (3125132235), we get a palindrome (56348284365).

The spelling of 53223152130 in words is "fifty-three billion, two hundred twenty-three million, one hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1621 1746 2910 3242 3761 4365 4863 7522 8105 8730 9726 11283 14589 16210 18805 22566 24315 29178 33849 37610 48630 56415 67698 72945 112830 145890 157237 169245 314474 338490 364817 471711 729634 786185 943422 1094451 1415133 1572370 1824085 2188902 2358555 2830266 3283353 3648170 4717110 5472255 6096581 6566706 7075665 10944510 12193162 14151330 16416765 18289743 30482905 32833530 36579486 54869229 60965810 91448715 109738458 182897430 274346145 548692290 591368357 1182736714 1774105071 2956841785 3548210142 5322315213 5913683570 8870525355 10644630426 17741050710 26611576065 53223152130