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202430614322010 = 235591373527315797
BaseRepresentation
bin101110000001110000001100…
…110110111011101101011010
3222112202011210120021222021110
4232001300030312323231122
5203013110344231301020
61554311201305521150
760432062222211654
oct5601601466735532
9875664716258243
10202430614322010
115955638347a7a8
121a8544ab1a31b6
1388c5181898109
1437db9a05156d4
151860a4148a8e0
hexb81c0cdbbb5a

202430614322010 has 128 divisors (see below), whose sum is σ = 494552856303360. Its totient is φ = 53014493751296.

The previous prime is 202430614322003. The next prime is 202430614322011. The reversal of 202430614322010 is 10223416034202.

It is a super-2 number, since 2×2024306143220102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (202430614322011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12814489432 + ... + 12814505228.

It is an arithmetic number, because the mean of its divisors is an integer number (3863694189870).

Almost surely, 2202430614322010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202430614322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247276428151680).

202430614322010 is an abundant number, since it is smaller than the sum of its proper divisors (292122241981350).

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

202430614322010 is a wasteful number, since it uses less digits than its factorization.

202430614322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22512.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 202430614322010 in words is "two hundred two trillion, four hundred thirty billion, six hundred fourteen million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1373 1770 2746 4119 5273 6865 8238 10546 13730 15797 15819 20595 26365 31594 31638 41190 47391 52730 78985 79095 81007 94782 157970 158190 162014 236955 243021 311107 405035 473910 486042 622214 810070 932023 933321 1215105 1555535 1864046 1866642 2430210 2796069 3111070 4660115 4666605 5592138 7239829 9320230 9333210 13980345 14479658 21689281 21719487 27960690 36199145 43378562 43438974 65067843 72398290 83297581 108446405 108597435 130135686 166595162 216892810 217194870 249892743 325339215 416487905 427149911 499785486 650678430 832975810 854299822 1249463715 1279667579 1281449733 2135749555 2498927430 2559335158 2562899466 3839002737 4271499110 4914557279 6398337895 6407248665 7678005474 9829114558 12796675790 12814497330 14743671837 19195013685 24572786395 29487343674 38390027370 49145572790 73718359185 114367578713 147436718370 228735157426 343102736139 571837893565 686205472278 1143675787130 1715513680695 3431027361390 6747687144067 13495374288134 20243061432201 33738435720335 40486122864402 67476871440670 101215307161005 202430614322010