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1330021013031 = 3219179401108359
BaseRepresentation
bin10011010110101011011…
…011100001011000100111
311201011000110011221001200
4103112223123201120213
5133242340334404111
62455000410053543
7165043106035614
oct23265333413047
94634013157050
101330021013031
11473071208667
1219592541a2b3
1398560938a89
144853270350b
15248e4800256
hex135ab6e1627

1330021013031 has 48 divisors (see below), whose sum is σ = 2038641696000. Its totient is φ = 833229676800.

The previous prime is 1330021013017. The next prime is 1330021013039. The reversal of 1330021013031 is 1303101200331.

It is a happy number.

It is not a de Polignac number, because 1330021013031 - 221 = 1330018915879 is a prime.

It is a super-2 number, since 2×13300210130312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330021012995 and 1330021013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330021013039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12220030 + ... + 12328388.

It is an arithmetic number, because the mean of its divisors is an integer number (42471702000).

Almost surely, 21330021013031 is an apocalyptic number.

1330021013031 is a deficient number, since it is larger than the sum of its proper divisors (708620682969).

1330021013031 is a wasteful number, since it uses less digits than its factorization.

1330021013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108964 (or 108961 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330021013031 its reverse (1303101200331), we get a palindrome (2633122213362).

The spelling of 1330021013031 in words is "one trillion, three hundred thirty billion, twenty-one million, thirteen thousand, thirty-one".

Divisors: 1 3 9 19 57 171 179 401 537 1203 1611 3401 3609 7619 10203 22857 30609 68571 71779 108359 215337 325077 646011 975231 1363801 2058821 4091403 6176463 12274209 18529389 19396261 43451959 58188783 130355877 174566349 368528959 391067631 825587221 1105586877 2476761663 3316760631 7430284989 7777900661 23333701983 70001105949 147780112559 443340337677 1330021013031