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1131313011021 = 321011627764947
BaseRepresentation
bin10000011101100111100…
…000101001100101001101
311000011010011000112121200
4100131213200221211031
5122013412112323041
62223415032020113
7144506663633604
oct20354740514515
94004104015550
101131313011021
113a68727796a6
1216330a531639
13828b41b256b
143ca8205ca3b
151e6649da1b6
hex1076782994d

1131313011021 has 24 divisors (see below), whose sum is σ = 1651314666144. Its totient is φ = 746281317600.

The previous prime is 1131313011013. The next prime is 1131313011061. The reversal of 1131313011021 is 1201103131311.

It is not a de Polignac number, because 1131313011021 - 23 = 1131313011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1131313010985 and 1131313011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131313011061) 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 23 ways as a sum of consecutive naturals, for example, 1096470 + ... + 1861416.

It is an arithmetic number, because the mean of its divisors is an integer number (68804777756).

Almost surely, 21131313011021 is an apocalyptic number.

It is an amenable number.

1131313011021 is a deficient number, since it is larger than the sum of its proper divisors (520001655123).

1131313011021 is a wasteful number, since it uses less digits than its factorization.

1131313011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766681 (or 766678 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131313011021 its reverse (1201103131311), we get a palindrome (2332416142332).

The spelling of 1131313011021 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, eleven thousand, twenty-one".

Divisors: 1 3 9 101 303 909 1627 4881 14643 164327 492981 764947 1478943 2294841 6884523 77259647 231778941 695336823 1244568769 3733706307 11201118921 125701445669 377104337007 1131313011021