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20311331031121 = 1337389108553469
BaseRepresentation
bin1001001111001000110011…
…01010111100100001010001
32122220202002120201112222011
410213210121222330201101
510130240101220443441
6111110521402342521
74164305501101354
oct447443152744121
978822076645864
1020311331031121
116520a94940769
12234057b7baa41
13b444727b1190
1450310620029b
152535271c2581
hex127919abc851

20311331031121 has 16 divisors (see below), whose sum is σ = 22522673955600. Its totient is φ = 18195298092288.

The previous prime is 20311331031109. The next prime is 20311331031139. The reversal of 20311331031121 is 12113013311302.

It can be written as a sum of positive squares in 8 ways, for example, as 1094408899600 + 19216922131521 = 1046140^2 + 4383711^2 .

It is a cyclic number.

It is not a de Polignac number, because 20311331031121 - 27 = 20311331030993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20311331031092 and 20311331031101.

It is not an unprimeable number, because it can be changed into a prime (20311331031161) 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, 54089626 + ... + 54463843.

It is an arithmetic number, because the mean of its divisors is an integer number (1407667122225).

Almost surely, 220311331031121 is an apocalyptic number.

It is an amenable number.

20311331031121 is a deficient number, since it is larger than the sum of its proper divisors (2211342924479).

20311331031121 is a wasteful number, since it uses less digits than its factorization.

20311331031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108553908.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 20311331031121 its reverse (12113013311302), we get a palindrome (32424344342423).

The spelling of 20311331031121 in words is "twenty trillion, three hundred eleven billion, three hundred thirty-one million, thirty-one thousand, one hundred twenty-one".

Divisors: 1 13 37 389 481 5057 14393 187109 108553469 1411195097 4016478353 42227299441 52214218589 548954892733 1562410079317 20311331031121