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103012233133 = 377199139569
BaseRepresentation
bin101111111110000000…
…0011110111110101101
3100211220002200122021211
41133330000132332231
53141432112430013
6115153445354421
710304511351205
oct1377400367655
9324802618254
10103012233133
113a7617a1477
1217b6a708a11
1399388b8104
144db312d405
152a2d8e823d
hex17fc01efad

103012233133 has 16 divisors (see below), whose sum is σ = 107397411840. Its totient is φ = 98714246400.

The previous prime is 103012233109. The next prime is 103012233143. The reversal of 103012233133 is 331332210301.

It is a cyclic number.

It is not a de Polignac number, because 103012233133 - 225 = 102978678701 is a prime.

It is a super-2 number, since 2×1030122331332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012233143) 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, 2583573 + ... + 2623141.

It is an arithmetic number, because the mean of its divisors is an integer number (6712338240).

Almost surely, 2103012233133 is an apocalyptic number.

It is an amenable number.

103012233133 is a deficient number, since it is larger than the sum of its proper divisors (4385178707).

103012233133 is an equidigital number, since it uses as much as digits as its factorization.

103012233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40668.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103012233133 its reverse (331332210301), we get a palindrome (434344443434).

The spelling of 103012233133 in words is "one hundred three billion, twelve million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 37 71 991 2627 36667 39569 70361 1464053 2603357 2809399 39212879 103947763 1450876523 2784114409 103012233133