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11310313320 = 2332531417537
BaseRepresentation
bin10101000100010010…
…11010111101101000
31002012020100110002100
422202021122331220
5141130420011240
65110151133400
7550165035255
oct124211327550
932166313070
1011310313320
114884416889
122237974260
1310b32c67b7
147941aa42c
15462e38e30
hex2a225af68

11310313320 has 48 divisors (see below), whose sum is σ = 36758519460. Its totient is φ = 3016083456.

The previous prime is 11310313303. The next prime is 11310313321. The reversal of 11310313320 is 2331301311.

It is a happy number.

11310313320 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 313 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11165303556 + 145009764 = 105666^2 + 12042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11310313293 and 11310313302.

It is not an unprimeable number, because it can be changed into a prime (11310313321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15708409 + ... + 15709128.

Almost surely, 211310313320 is an apocalyptic number.

11310313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310313320 is an abundant number, since it is smaller than the sum of its proper divisors (25448206140).

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

11310313320 is a wasteful number, since it uses less digits than its factorization.

11310313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31417554 (or 31417547 counting only the distinct ones).

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

Adding to 11310313320 its reverse (2331301311), we get a palindrome (13641614631).

The spelling of 11310313320 in words is "eleven billion, three hundred ten million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 31417537 62835074 94252611 125670148 157087685 188505222 251340296 282757833 314175370 377010444 471263055 565515666 628350740 754020888 942526110 1131031332 1256701480 1413789165 1885052220 2262062664 2827578330 3770104440 5655156660 11310313320