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1031321322031 = 721121313380403
BaseRepresentation
bin11110000000111111000…
…10101000001000101111
310122121000120000102221011
433000133202220020233
5113344121224301111
62105441003050051
7134340050411500
oct17003742501057
93577016012834
101031321322031
11368420aaa800
12147a63510927
137633a3229a0
1437cb8162ba7
151bc61393021
hexf01f8a822f

1031321322031 has 36 divisors (see below), whose sum is σ = 1420115798136. Its totient is φ = 741809486880.

The previous prime is 1031321322029. The next prime is 1031321322043. The reversal of 1031321322031 is 1302231231301.

It is not a de Polignac number, because 1031321322031 - 21 = 1031321322029 is a prime.

It is a super-2 number, since 2×10313213220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031321321993 and 1031321322011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031321325031) 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 35 ways as a sum of consecutive naturals, for example, 6613125 + ... + 6767278.

Almost surely, 21031321322031 is an apocalyptic number.

1031321322031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1031321322031 is a deficient number, since it is larger than the sum of its proper divisors (388794476105).

1031321322031 is a wasteful number, since it uses less digits than its factorization.

1031321322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380452 (or 13380434 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1031321322031 its reverse (1302231231301), we get a palindrome (2333552553332).

The spelling of 1031321322031 in words is "one trillion, thirty-one billion, three hundred twenty-one million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 13380403 93662821 147184433 173945239 655639747 1030291031 1217616673 1619028763 1913397629 7212037217 8523316711 11333201341 13393783403 21047373919 79332409387 93756483821 147331617433 1031321322031