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121112332100023 = 1127955722746821
BaseRepresentation
bin11011100010011010101001…
…100010000110000110110111
3120212211020002122212101121111
4123202122221202012012313
5111333301024004200043
61105330123130055451
734340035331061115
oct3342325142060667
9525736078771544
10121112332100023
11356544a7095500
121170046ab7a587
135276ac80c6344
1421c9c222c2ab5
15e00622ac709d
hex6e26a98861b7

121112332100023 has 24 divisors (see below), whose sum is σ = 135050611832640. Its totient is φ = 108513249873600.

The previous prime is 121112332099981. The next prime is 121112332100047. The reversal of 121112332100023 is 320001233211121.

It is a de Polignac number, because none of the positive numbers 2k-121112332100023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121112332099967 and 121112332100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112332100723) 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 23 ways as a sum of consecutive naturals, for example, 6049048 + ... + 16697773.

It is an arithmetic number, because the mean of its divisors is an integer number (5627108826360).

Almost surely, 2121112332100023 is an apocalyptic number.

121112332100023 is a deficient number, since it is larger than the sum of its proper divisors (13938279732617).

121112332100023 is a wasteful number, since it uses less digits than its factorization.

121112332100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747479 (or 22747468 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121112332100023 its reverse (320001233211121), we get a palindrome (441113565311144).

The spelling of 121112332100023 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred thirty-two million, one hundred thousand, twenty-three".

Divisors: 1 11 79 121 557 869 6127 9559 44003 67397 484033 5324363 22746821 250215031 1796998859 2752365341 12669979297 19766987449 139369772267 217436861939 1000928364463 1533067494937 11010212009093 121112332100023