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1311013011220 = 225115959150051
BaseRepresentation
bin10011000100111110011…
…101101111111100010100
311122022221202021101111121
4103010332131233330110
5132434423312324340
62442134314413324
7163501060504663
oct23047635577424
94568852241447
101311013011220
11465aa7737560
121920bb731244
1396821929123
144764c084dda
1524180bd494a
hex1313e76ff14

1311013011220 has 24 divisors (see below), whose sum is σ = 3003411626208. Its totient is φ = 476732004000.

The previous prime is 1311013011193. The next prime is 1311013011229. The reversal of 1311013011220 is 221103101131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311013011194 and 1311013011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311013011229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2979574806 + ... + 2979575245.

It is an arithmetic number, because the mean of its divisors is an integer number (125142151092).

Almost surely, 21311013011220 is an apocalyptic number.

1311013011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311013011220 is an abundant number, since it is smaller than the sum of its proper divisors (1692398614988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311013011220 is a wasteful number, since it uses less digits than its factorization.

1311013011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959150071 (or 5959150069 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1311013011220 its reverse (221103101131), we get a palindrome (1532116112351).

The spelling of 1311013011220 in words is "one trillion, three hundred eleven billion, thirteen million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 5959150051 11918300102 23836600204 29795750255 59591500510 65550650561 119183001020 131101301122 262202602244 327753252805 655506505610 1311013011220