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20100222121210 = 257111710115203369
BaseRepresentation
bin1001001000111111100101…
…00110010111010011111010
32122011120012001001202220221
410210133302212113103322
510113310223330334320
6110425525314010254
74143123146010040
oct444376246272372
978146161052827
1020100222121210
11644a502415090
12230768387698a
13b2a59ab2453a
144d6bda9bc390
1524ccbd8493aa
hex1247f29974fa

20100222121210 has 128 divisors (see below), whose sum is σ = 48234333288960. Its totient is φ = 5838093312000.

The previous prime is 20100222121141. The next prime is 20100222121219. The reversal of 20100222121210 is 1212122200102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20100222121219) 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, 6279595 + ... + 8923774.

It is an arithmetic number, because the mean of its divisors is an integer number (376830728820).

Almost surely, 220100222121210 is an apocalyptic number.

20100222121210 is an abundant number, since it is smaller than the sum of its proper divisors (28134111167750).

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

20100222121210 is a wasteful number, since it uses less digits than its factorization.

20100222121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203512.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20100222121210 its reverse (1212122200102), we get a palindrome (21312344321312).

The spelling of 20100222121210 in words is "twenty trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 101 110 119 154 170 187 202 238 374 385 505 595 707 770 935 1010 1111 1190 1309 1414 1717 1870 2222 2618 3434 3535 5555 6545 7070 7777 8585 11110 12019 13090 15554 17170 18887 24038 37774 38885 60095 77770 94435 120190 132209 188870 264418 661045 1322090 15203369 30406738 76016845 106423583 152033690 167237059 212847166 258457273 334474118 516914546 532117915 836185295 1064235830 1170659413 1292286365 1535540269 1672370590 1809200911 2341318826 2584572730 2843030003 3071080538 3618401822 5686060006 5853297065 7677701345 9046004555 10748781883 11706594130 14215150015 15355402690 16890942959 18092009110 19901210021 21497563766 26104184573 28430300030 33781885918 39802420042 52208369146 53743909415 84454714795 99506050105 107487818830 118236600713 130520922865 168909429590 182729292011 199012100210 236473201426 261041845730 287146030303 365458584022 574292060606 591183003565 913646460055 1182366007130 1435730151515 1827292920110 2010022212121 2871460303030 4020044424242 10050111060605 20100222121210