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1331123232023 = 131792797204517
BaseRepresentation
bin10011010111101101001…
…000001001110100010111
311201020212021012110021022
4103113231020021310113
5133302120021411043
62455302022311355
7165112321533224
oct23275510116427
94636767173238
101331123232023
114735873a9052
12195b9258855b
13986a80b5770
14485d8c5c94b
152495b473868
hex135ed209d17

1331123232023 has 16 divisors (see below), whose sum is σ = 1442048237280. Its totient is φ = 1221421908096.

The previous prime is 1331123232017. The next prime is 1331123232073. The reversal of 1331123232023 is 3202323211331.

It is a de Polignac number, because none of the positive numbers 2k-1331123232023 is a prime.

It is a super-3 number, since 3×13311232320233 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331123231983 and 1331123232001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331123232073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6406361 + ... + 6610877.

It is an arithmetic number, because the mean of its divisors is an integer number (90128014830).

Almost surely, 21331123232023 is an apocalyptic number.

1331123232023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1331123232023 is a deficient number, since it is larger than the sum of its proper divisors (110925005257).

1331123232023 is a wasteful number, since it uses less digits than its factorization.

1331123232023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207506.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1331123232023 its reverse (3202323211331), we get a palindrome (4533446443354).

The spelling of 1331123232023 in words is "one trillion, three hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-two thousand, twenty-three".

Divisors: 1 13 179 2327 2797 36361 204517 500663 2658721 6508619 36608543 475911059 572034049 7436442637 102394094771 1331123232023