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102130224222 = 231331113373783
BaseRepresentation
bin101111100011101101…
…1111000110001011110
3100202121122000221112010
41133013123320301132
53133130314133342
6114530141052050
710243611403515
oct1370733706136
9322548027463
10102130224222
113a349938094
1217963257026
139827c50650
144d2bd3767c
1529cb27229c
hex17c76f8c5e

102130224222 has 64 divisors (see below), whose sum is σ = 229078757376. Its totient is φ = 30141780480.

The previous prime is 102130224197. The next prime is 102130224227. The reversal of 102130224222 is 222422031201.

102130224222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130224227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86343 + ... + 460125.

It is an arithmetic number, because the mean of its divisors is an integer number (3579355584).

Almost surely, 2102130224222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130224222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114539378688).

102130224222 is an abundant number, since it is smaller than the sum of its proper divisors (126948533154).

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

102130224222 is a wasteful number, since it uses less digits than its factorization.

102130224222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373945.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102130224222 its reverse (222422031201), we get a palindrome (324552255423).

The spelling of 102130224222 in words is "one hundred two billion, one hundred thirty million, two hundred twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 113 186 226 339 403 678 806 1209 1469 2418 2938 3503 4407 7006 8814 10509 21018 45539 91078 136617 273234 373783 747566 1121349 2242698 4859179 9718358 11587273 14577537 23174546 29155074 34761819 42237479 69523638 84474958 126712437 150634549 253424874 301269098 451903647 549087227 903807294 1098174454 1309361849 1647261681 2618723698 3294523362 3928085547 7856171094 17021704037 34043408074 51065112111 102130224222