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22410104130 = 23253718137181
BaseRepresentation
bin10100110111101111…
…110000110101000010
32010211210120020120200
4110313233300311002
5331343441313010
614143422150030
71422225512361
oct246757606502
963753506520
1022410104130
11955aa12a17
124415122316
132161ac065b
1411284157d8
158b263acc0
hex537bf0d42

22410104130 has 96 divisors (see below), whose sum is σ = 60173266608. Its totient is φ = 5782233600.

The previous prime is 22410104117. The next prime is 22410104149. The reversal of 22410104130 is 3140101422.

22410104130 is a `hidden beast` number, since 2 + 241 + 0 + 10 + 413 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5209519329 + 17200584801 = 72177^2 + 131151^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 584140 + ... + 621320.

Almost surely, 222410104130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22410104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30086633304).

22410104130 is an abundant number, since it is smaller than the sum of its proper divisors (37763162478).

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

22410104130 is a wasteful number, since it uses less digits than its factorization.

22410104130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37412 (or 37409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22410104130 its reverse (3140101422), we get a palindrome (25550205552).

The spelling of 22410104130 in words is "twenty-two billion, four hundred ten million, one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 181 185 222 333 362 370 543 555 666 905 1086 1110 1629 1665 1810 2715 3258 3330 5430 6697 8145 13394 16290 20091 33485 37181 40182 60273 66970 74362 100455 111543 120546 185905 200910 223086 301365 334629 371810 557715 602730 669258 1115430 1375697 1673145 2751394 3346290 4127091 6729761 6878485 8254182 12381273 13459522 13756970 20189283 20635455 24762546 33648805 40378566 41270910 60567849 61906365 67297610 100946415 121135698 123812730 201892830 249001157 302839245 498002314 605678490 747003471 1245005785 1494006942 2241010413 2490011570 3735017355 4482020826 7470034710 11205052065 22410104130