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221442031131041 = 71915764033165617
BaseRepresentation
bin110010010110011001111101…
…100110101001100110100001
31002001001122120220002001012002
4302112121331212221212201
5213011101234432143131
62102545021551213345
764433441651611220
oct6226317546514641
91061048526061162
10221442031131041
1164616046656506
1220a04b48217255
139673b80c86106
143c97bcc6d8cb7
151a9033702d6cb
hexc9667d9a99a1

221442031131041 has 32 divisors (see below), whose sum is σ = 268099026543360. Its totient is φ = 178668385099776.

The previous prime is 221442031131019. The next prime is 221442031131053. The reversal of 221442031131041 is 140131130244122.

It is a cyclic number.

It is not a de Polignac number, because 221442031131041 - 210 = 221442031130017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221442031130995 and 221442031131013.

It is not an unprimeable number, because it can be changed into a prime (221442031131011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336990265 + ... + 1337155881.

It is an arithmetic number, because the mean of its divisors is an integer number (8378094579480).

Almost surely, 2221442031131041 is an apocalyptic number.

It is an amenable number.

221442031131041 is a deficient number, since it is larger than the sum of its proper divisors (46656995412319).

221442031131041 is a wasteful number, since it uses less digits than its factorization.

221442031131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229833.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 221442031131041 its reverse (140131130244122), we get a palindrome (361573161375163).

The spelling of 221442031131041 in words is "two hundred twenty-one trillion, four hundred forty-two billion, thirty-one million, one hundred thirty-one thousand, forty-one".

Divisors: 1 7 19 133 157 1099 2983 20881 64033 165617 448231 1159319 1216627 3146723 8516389 10053181 22027061 26001869 70372267 182013083 191010439 494035511 1337073073 3458248577 10604953361 74234673527 201494113859 1410458797013 1664977677677 11654843743739 31634575875863 221442031131041