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11312201310 = 235473379669
BaseRepresentation
bin10101000100100001…
…00111111001011110
31002012100220100220220
422202100213321132
5141131410420220
65110255422210
7550220060514
oct124220477136
932170810826
1011312201310
114885496303
122238524966
1310b3807c57
1479453c4b4
154631ad540
hex2a2427e5e

11312201310 has 32 divisors (see below), whose sum is σ = 27155360160. Its totient is φ = 3015911808.

The previous prime is 11312201279. The next prime is 11312201357. The reversal of 11312201310 is 1310221311.

It is a happy number.

11312201310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113122013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11312201310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102156 + ... + 181824.

It is an arithmetic number, because the mean of its divisors is an integer number (848605005).

Almost surely, 211312201310 is an apocalyptic number.

11312201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11312201310 is an abundant number, since it is smaller than the sum of its proper divisors (15843158850).

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

11312201310 is a wasteful number, since it uses less digits than its factorization.

11312201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84412.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11312201310 its reverse (1310221311), we get a palindrome (12622422621).

The spelling of 11312201310 in words is "eleven billion, three hundred twelve million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 4733 9466 14199 23665 28398 47330 70995 79669 141990 159338 239007 398345 478014 796690 1195035 2390070 377073377 754146754 1131220131 1885366885 2262440262 3770733770 5656100655 11312201310