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221211021313110 = 23559412755032
BaseRepresentation
bin110010010011000010110100…
…010110001000010001010110
31002000020120022102100101112110
4302103002310112020101112
5212443310132424004420
62102250535033131450
764410653216553603
oct6223026426102126
91060216272311473
10221211021313110
1164537081632104
1220988217559b86
139658157307c5a
143c8a9560276aa
151a893164aeee0
hexc930b4588456

221211021313110 has 96 divisors (see below), whose sum is σ = 540133840788480. Its totient is φ = 57965195246784.

The previous prime is 221211021313063. The next prime is 221211021313151. The reversal of 221211021313110 is 11313120112122.

It is a congruent number.

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, 40198256619 + ... + 40198262121.

It is an arithmetic number, because the mean of its divisors is an integer number (5626394174880).

Almost surely, 2221211021313110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211021313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270066920394240).

221211021313110 is an abundant number, since it is smaller than the sum of its proper divisors (318922819475370).

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

221211021313110 is an frugal number, since it uses more digits than its factorization.

221211021313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 221211021313110 its reverse (11313120112122), we get a palindrome (232524141425232).

The spelling of 221211021313110 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty-one million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 4127 5503 8254 11006 12381 16509 20635 24762 27515 33018 41270 55030 61905 82545 123810 165090 243493 324677 486986 649354 730479 974031 1217465 1460958 1623385 1948062 2434930 3246770 3652395 4870155 7304790 9740310 22710881 30283009 45421762 60566018 68132643 90849027 113554405 136265286 151415045 181698054 227108810 302830090 340663215 454245135 681326430 908490270 1339941979 1786697531 2679883958 3573395062 4019825937 5360092593 6699709895 8039651874 8933487655 10720185186 13399419790 17866975310 20099129685 26800462965 40198259370 53600925930 124977978143 249955956286 374933934429 624889890715 749867868858 1249779781430 1874669672145 3749339344290 7373700710437 14747401420874 22121102131311 36868503552185 44242204262622 73737007104370 110605510656555 221211021313110