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34425205122 = 237111722719309
BaseRepresentation
bin100000000011111001…
…101111000110000010
310021212011002121121010
4200003321233012002
51031000323030442
623451551341350
72326042262340
oct400371570602
9107764077533
1034425205122
1113666149150
126808b21856
133328111779
141948044990
15d67390b9c
hex803e6f182

34425205122 has 128 divisors (see below), whose sum is σ = 91293972480. Its totient is φ = 8378127360.

The previous prime is 34425205049. The next prime is 34425205223. The reversal of 34425205122 is 22150252443.

It is a self number, because there is not a number n which added to its sum of digits gives 34425205122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1773204 + ... + 1792512.

It is an arithmetic number, because the mean of its divisors is an integer number (713234160).

Almost surely, 234425205122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34425205122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45646986240).

34425205122 is an abundant number, since it is smaller than the sum of its proper divisors (56868767358).

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

34425205122 is a wasteful number, since it uses less digits than its factorization.

34425205122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19576.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34425205122 its reverse (22150252443), we get a palindrome (56575457565).

The spelling of 34425205122 in words is "thirty-four billion, four hundred twenty-five million, two hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 227 231 238 357 374 454 462 561 681 714 1122 1309 1362 1589 2497 2618 3178 3859 3927 4767 4994 7491 7718 7854 9534 11577 14982 17479 19309 23154 27013 34958 38618 42449 52437 54026 57927 81039 84898 104874 115854 127347 135163 162078 212399 254694 270326 297143 328253 405489 424798 594286 637197 656506 810978 891429 984759 1274394 1486793 1782858 1969518 2297771 2973586 3610783 4383143 4460379 4595542 6893313 7221566 8766286 8920758 10832349 13149429 13786626 21664698 25275481 26298858 30682001 48214573 50550962 61364002 74513431 75826443 92046003 96429146 144643719 149026862 151652886 184092006 223540293 289287438 337502011 447080586 521594017 675004022 819647741 1012506033 1043188034 1564782051 1639295482 2025012066 2458943223 3129564102 4917886446 5737534187 11475068374 17212602561 34425205122