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1110311331121 = 434725710632011
BaseRepresentation
bin10000001010000011101…
…101100110010100110001
310221010220111122122212101
4100022003231212110301
5121142404200043441
62210023041100401
7143134356411256
oct20120355462461
93833814578771
101110311331121
11398975889753
1215b229027701
138091812cc35
143ba4cb0d42d
151dd35d5a231
hex10283b66531

1110311331121 has 32 divisors (see below), whose sum is σ = 1166495920128. Its totient is φ = 1055765975040.

The previous prime is 1110311331071. The next prime is 1110311331137. The reversal of 1110311331121 is 1211331130111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1110311331121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1110311332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552118006 + ... + 552120016.

It is an arithmetic number, because the mean of its divisors is an integer number (36452997504).

Almost surely, 21110311331121 is an apocalyptic number.

It is an amenable number.

1110311331121 is a deficient number, since it is larger than the sum of its proper divisors (56184589007).

1110311331121 is a wasteful number, since it uses less digits than its factorization.

1110311331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 1110311331121 its reverse (1211331130111), we get a palindrome (2321642461232).

The spelling of 1110311331121 in words is "one trillion, one hundred ten billion, three hundred eleven million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 43 47 257 1063 2011 2021 11051 12079 45709 49961 86473 94517 273191 516827 519397 2137693 2148323 4064231 11747213 12839977 22223561 24290869 91920799 100471571 549387101 552119011 1044507367 4320277553 23623645343 25821193747 1110311331121