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102011200210011 = 317197313718315749
BaseRepresentation
bin10111001100011101010101…
…010110100000010001011011
3111101012011201221022222222210
4113030131111112200101123
5101332322414223210021
61000543144243050203
730326031431643651
oct2714352526402133
9441164657288883
10102011200210011
112a55a786101574
12b536554670963
1344bc7cbc33701
141b29522daadd1
15bbd82abd7e76
hex5cc7555a045b

102011200210011 has 128 divisors (see below), whose sum is σ = 154905419520000. Its totient is φ = 59328277217280.

The previous prime is 102011200210009. The next prime is 102011200210061. The reversal of 102011200210011 is 110012002110201.

It is not a de Polignac number, because 102011200210011 - 21 = 102011200210009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102011200210061) 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 127 ways as a sum of consecutive naturals, for example, 17744161365 + ... + 17744167113.

It is an arithmetic number, because the mean of its divisors is an integer number (1210198590000).

Almost surely, 2102011200210011 is an apocalyptic number.

102011200210011 is a deficient number, since it is larger than the sum of its proper divisors (52894219309989).

102011200210011 is a wasteful number, since it uses less digits than its factorization.

102011200210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102011200210011 its reverse (110012002110201), we get a palindrome (212023202320212).

The spelling of 102011200210011 in words is "one hundred two trillion, eleven billion, two hundred million, two hundred ten thousand, eleven".

Divisors: 1 3 17 19 51 57 73 137 219 323 411 969 1241 1387 1831 2329 2603 3723 4161 5493 5749 6987 7809 10001 17247 23579 30003 31127 34789 44251 70737 93381 97733 104367 109231 132753 133663 170017 190019 250847 293199 327693 400989 419677 510051 570057 591413 752541 787613 1259031 1774239 1856927 2272271 2362839 2539597 3230323 4264399 4766093 5570781 6816813 7134509 7618791 7973863 9690969 10526419 12793197 13389421 14298279 14964647 18311831 21403527 23921589 31579257 40168263 43173149 44893941 54935493 57495749 81023581 129519447 135555671 172487247 178949123 200001961 243070743 254398999 311301127 347924789 406667013 536847369 600005883 763196997 768428587 933903381 977427733 1043774367 1092419231 1442119403 2305285761 2932283199 3277257693 3400033337 4326358209 5914721413 10200100011 13063285979 14600143153 17744164239 18571126927 24516029851 27400268657 39189857937 43800429459 55713380781 73548089553 82200805971 105274716419 248202433601 315824149257 465804567169 744607300803 1397413701507 1789670179123 2000219611961 5369010537369 6000658835883 34003733403337 102011200210011