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1131022240013 = 293741434712721
BaseRepresentation
bin10000011101010110001…
…011011100100100001101
311000010100212212211210002
4100131112023130210031
5122012313143140023
62223330123454045
7144466533262661
oct20352613344415
94003325784702
101131022240013
113a6733629086
12163249087325
1382868b96403
143ca555ac8a1
151e649200b28
hex107562dc90d

1131022240013 has 64 divisors (see below), whose sum is σ = 1286481208320. Its totient is φ = 990865612800.

The previous prime is 1131022240003. The next prime is 1131022240027. The reversal of 1131022240013 is 3100422201311.

It is a cyclic number.

It is not a de Polignac number, because 1131022240013 - 220 = 1131021191437 is a prime.

It is a super-2 number, since 2×11310222400132 (a number of 25 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 (1131022240003) 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 63 ways as a sum of consecutive naturals, for example, 88903493 + ... + 88916213.

It is an arithmetic number, because the mean of its divisors is an integer number (20101268880).

Almost surely, 21131022240013 is an apocalyptic number.

It is an amenable number.

1131022240013 is a deficient number, since it is larger than the sum of its proper divisors (155458968307).

1131022240013 is a wasteful number, since it uses less digits than its factorization.

1131022240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1131022240013 its reverse (3100422201311), we get a palindrome (4231444441324).

The spelling of 1131022240013 in words is "one trillion, one hundred thirty-one billion, twenty-two million, two hundred forty thousand, thirteen".

Divisors: 1 29 37 41 43 47 1073 1189 1247 1363 1517 1591 1739 1763 1927 2021 12721 43993 46139 50431 51127 55883 58609 65231 71299 74777 82861 368909 470677 521561 547003 597887 1891699 2067671 2168533 2402969 3065857 13649633 15125269 15863087 17338723 19297757 20239111 22121819 22427123 24513367 25709141 88909853 559634953 586934219 641532751 650386567 710887643 745565089 829803551 906994579 951238217 1054074781 24064302979 26302842791 27585908293 30568168649 39000766897 1131022240013