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11310411220 = 2252973267133
BaseRepresentation
bin10101000100010011…
…10010110111010100
31002012020112102101021
422202021302313110
5141130431124340
65110153210524
7550165623553
oct124211626724
932166472337
1011310411220
114884483399
122237a00a44
1310b332c224
147941d3d9a
15462e57e4a
hex2a2272dd4

11310411220 has 48 divisors (see below), whose sum is σ = 24907574160. Its totient is φ = 4308304896.

The previous prime is 11310411173. The next prime is 11310411241. The reversal of 11310411220 is 2211401311.

It can be written as a sum of positive squares in 8 ways, for example, as 183115024 + 11127296196 = 13532^2 + 105486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11310411194 and 11310411203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91227 + ... + 175906.

It is an arithmetic number, because the mean of its divisors is an integer number (518907795).

Almost surely, 211310411220 is an apocalyptic number.

11310411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310411220 is an abundant number, since it is smaller than the sum of its proper divisors (13597162940).

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

11310411220 is a wasteful number, since it uses less digits than its factorization.

11310411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267244 (or 267242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11310411220 its reverse (2211401311), we get a palindrome (13521812531).

Subtracting from 11310411220 its reverse (2211401311), we obtain a palindrome (9099009909).

The spelling of 11310411220 in words is "eleven billion, three hundred ten million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 1460 2117 4234 8468 10585 21170 42340 267133 534266 1068532 1335665 2671330 5342660 7746857 15493714 19500709 30987428 38734285 39001418 77468570 78002836 97503545 154937140 195007090 390014180 565520561 1131041122 2262082244 2827602805 5655205610 11310411220