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1131230440131 = 311294371164511
BaseRepresentation
bin10000011101100010100…
…101101010101011000011
311000010220101122111122120
4100131202211222223003
5122013224443041011
62223402522135323
7144504642042261
oct20354245525303
94003811574576
101131230440131
113a68301019a0
121632a6951543
13828a0061c4c
143ca750c7431
151e65c629a06
hex1076296aac3

1131230440131 has 16 divisors (see below), whose sum is σ = 1645483404288. Its totient is φ = 685570327200.

The previous prime is 1131230440111. The next prime is 1131230440133. The reversal of 1131230440131 is 1310440321311.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1131230440131 is a prime.

It is a super-2 number, since 2×11312304401312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131230440133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389166 + ... + 1553676.

It is an arithmetic number, because the mean of its divisors is an integer number (102842712768).

Almost surely, 21131230440131 is an apocalyptic number.

1131230440131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131230440131 is a deficient number, since it is larger than the sum of its proper divisors (514252964157).

1131230440131 is a wasteful number, since it uses less digits than its factorization.

1131230440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193962.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1131230440131 its reverse (1310440321311), we get a palindrome (2441670761442).

The spelling of 1131230440131 in words is "one trillion, one hundred thirty-one billion, two hundred thirty million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 29437 88311 323807 971421 1164511 3493533 12809621 38428863 34279710307 102839130921 377076813377 1131230440131