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121101211120331 = 1331614926217757
BaseRepresentation
bin11011100010010000010010…
…101010111011001011001011
3120212210011101121210002102202
4123202100102222323023023
5111333110240021322311
61105321043420550415
734336162622233601
oct3342202252731313
9525704347702382
10121101211120331
113564a80a6368a2
12116ba2866b240b
135275a450c0ba0
1421c948931d871
15e001c15dbe3b
hex6e2412abb2cb

121101211120331 has 16 divisors (see below), whose sum is σ = 136830624446208. Its totient is φ = 106406303529600.

The previous prime is 121101211120321. The next prime is 121101211120391. The reversal of 121101211120331 is 133021112101121.

It is a cyclic number.

It is not a de Polignac number, because 121101211120331 - 234 = 121084031251147 is a prime.

It is a super-2 number, since 2×1211012111203312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121101211120321) 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 15 ways as a sum of consecutive naturals, for example, 2463084296 + ... + 2463133461.

It is an arithmetic number, because the mean of its divisors is an integer number (8551914027888).

Almost surely, 2121101211120331 is an apocalyptic number.

121101211120331 is a deficient number, since it is larger than the sum of its proper divisors (15729413325877).

121101211120331 is a wasteful number, since it uses less digits than its factorization.

121101211120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926217862.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 121101211120331 its reverse (133021112101121), we get a palindrome (254122323221452).

The spelling of 121101211120331 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 13 31 61 403 793 1891 24583 4926217757 64040830841 152712750467 300499283177 1985265756071 3906490681301 9315477778487 121101211120331