Search a number
-
+
221001210110010 = 235116714159705949
BaseRepresentation
bin110010001111111111011010…
…100111111010000000111010
31001222111111202022112221120110
4302033333122213322000322
5212431340434242010020
62102010315423005150
764356545003012121
oct6217773247720072
91058444668487513
10221001210110010
11644660a56878a0
12209536221397b6
13964142b462575
143c80730ccaab8
151a83b36a228e0
hexc8ffda9fa03a

221001210110010 has 128 divisors (see below), whose sum is σ = 587299797504000. Its totient is φ = 52772606219520.

The previous prime is 221001210109961. The next prime is 221001210110033. The reversal of 221001210110010 is 10011012100122.

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, 312702516 + ... + 313408464.

It is an arithmetic number, because the mean of its divisors is an integer number (4588279668000).

Almost surely, 2221001210110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001210110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293649898752000).

221001210110010 is an abundant number, since it is smaller than the sum of its proper divisors (366298587393990).

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

221001210110010 is a wasteful number, since it uses less digits than its factorization.

221001210110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720196.

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

Adding to 221001210110010 its reverse (10011012100122), we get a palindrome (231012222210132).

The spelling of 221001210110010 in words is "two hundred twenty-one trillion, one billion, two hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 7370 11055 14159 22110 28318 42477 70795 84954 141590 155749 212385 311498 424770 467247 705949 778745 934494 948653 1411898 1557490 1897306 2117847 2336235 2845959 3529745 4235694 4672470 4743265 5691918 7059490 7765439 9486530 10435183 10589235 14229795 15530878 20870366 21178470 23296317 28459590 31305549 38827195 46592634 47298583 52175915 62611098 77654390 94597166 104351830 116481585 141895749 156527745 232963170 236492915 283791498 313055490 472985830 520284413 709478745 1040568826 1418957490 1560853239 2601422065 3121706478 5202844130 7804266195 9995531891 15608532390 19991063782 29986595673 49977659455 59973191346 99955318910 109950850801 149932978365 219901701602 299865956730 329852552403 549754254005 659705104806 669700636697 1099508508010 1339401273394 1649262762015 2009101910091 3298525524030 3348503183485 4018203820182 6697006366970 7366707003667 10045509550455 14733414007334 20091019100910 22100121011001 36833535018335 44200242022002 73667070036670 110500605055005 221001210110010