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221141343141122 = 253101163990112799
BaseRepresentation
bin110010010010000001111011…
…001100111111110100000010
31001222222220110102120111200212
4302102001323030333310002
5212441134432321003442
62102154533000114122
764402635431065205
oct6222017314776402
91058886412514625
10221141343141122
116450a5760731a8
1220976810465942
1396517017618a1
143c8742606793c
151a875d9270a82
hexc9207b33fd02

221141343141122 has 64 divisors (see below), whose sum is σ = 343472464281600. Its totient is φ = 106732248480000.

The previous prime is 221141343141113. The next prime is 221141343141127.

221141343141122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221141343141127) 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 31 ways as a sum of consecutive naturals, for example, 17278010879 + ... + 17278023677.

It is an arithmetic number, because the mean of its divisors is an integer number (5366757254400).

Almost surely, 2221141343141122 is an apocalyptic number.

221141343141122 is a deficient number, since it is larger than the sum of its proper divisors (122331121140478).

221141343141122 is a wasteful number, since it uses less digits than its factorization.

221141343141122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019.

The product of its digits is 9216, while the sum is 32.

The spelling of 221141343141122 in words is "two hundred twenty-one trillion, one hundred forty-one billion, three hundred forty-three million, one hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 53 101 106 163 202 326 5353 8639 9901 10706 12799 16463 17278 19802 25598 32926 524753 678347 872539 1000001 1049506 1292699 1356694 1613863 1745078 2000002 2086237 2585398 3227726 4172474 53000053 68513047 85534739 106000106 110570561 126722899 137026094 163000163 171069478 210709937 221141122 253445798 326000326 421419874 6716313647 8639008639 11167626661 12799012799 13432627294 17278017278 20655832537 22335253322 25598025598 41311665074 678347678347 1094759124461 1356695356694 2086239086237 2189518248922 4172478172474 110570671570561 221141343141122