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130434221012221 = 71718474507131671
BaseRepresentation
bin11101101010000100010101…
…011010001111010011111101
3122002211101112010110012100201
4131222010111122033103331
5114044013241034342341
61141224353125123501
736321363406335430
oct3552042532172375
9562741463405321
10130434221012221
113861892a391605
1212767038859591
1357a1b81910389
14242d09b211817
151012d6044b331
hex76a11568f4fd

130434221012221 has 32 divisors (see below), whose sum is σ = 157958062682112. Its totient is φ = 105143142424320.

The previous prime is 130434221012219. The next prime is 130434221012257. The reversal of 130434221012221 is 122210122434031.

It is not a de Polignac number, because 130434221012221 - 21 = 130434221012219 is a prime.

It is a super-2 number, since 2×1304342210122212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130434221012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434221012281) 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, 990541216 + ... + 990672886.

It is an arithmetic number, because the mean of its divisors is an integer number (4936189458816).

Almost surely, 2130434221012221 is an apocalyptic number.

It is an amenable number.

130434221012221 is a deficient number, since it is larger than the sum of its proper divisors (27523841669891).

130434221012221 is a wasteful number, since it uses less digits than its factorization.

130434221012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138049.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 130434221012221 its reverse (122210122434031), we get a palindrome (252644343446252).

The spelling of 130434221012221 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 17 119 1847 4507 12929 31399 31549 76619 131671 219793 536333 921697 2238407 8324429 15668849 58271003 141515293 243196337 593441197 990607051 1702374359 4134337729 4154088379 10088500349 28940364103 70619502443 1096085890859 7672601236013 18633460144603 130434221012221