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121131221323101 = 311101325311172149
BaseRepresentation
bin11011100010101100001111…
…011010110000110101011101
3120212220000212002021100101020
4123202230033122300311131
5111334103220124314401
61105342525335434353
734341304404605253
oct3342541732606535
9525800762240336
10121131221323101
113566150a609370
1211704060b259b9
135278818618c12
1421caad4c625d3
15e00d7b07dd36
hex6e2b0f6b0d5d

121131221323101 has 32 divisors (see below), whose sum is σ = 177990046185600. Its totient is φ = 72663650592000.

The previous prime is 121131221323087. The next prime is 121131221323117. The reversal of 121131221323101 is 101323122131121.

It is not a de Polignac number, because 121131221323101 - 211 = 121131221321053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131221327101) 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, 5256175 + ... + 16428323.

It is an arithmetic number, because the mean of its divisors is an integer number (5562188943300).

Almost surely, 2121131221323101 is an apocalyptic number.

121131221323101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121131221323101 is a deficient number, since it is larger than the sum of its proper divisors (56858824862499).

121131221323101 is a wasteful number, since it uses less digits than its factorization.

121131221323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175517.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121131221323101 its reverse (101323122131121), we get a palindrome (222454343454222).

The spelling of 121131221323101 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 11 33 101 303 1111 3253 3333 9759 35783 107349 328553 985659 3614083 10842249 11172149 33516447 122893639 368680917 1128387049 3385161147 12412257539 36343000697 37236772617 109029002091 399773007667 1199319023001 3670643070397 11011929211191 40377073774367 121131221323101