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11312111310 = 2351393127067
BaseRepresentation
bin10101000100100000…
…10001111011001110
31002012100201210110120
422202100101323032
5141131400030220
65110253445410
7550216234233
oct124220217316
932170653416
1011312111310
114885434725
1222384a0866
1310b37a5cb6
1479451778a
15463191a40
hex2a2411ece

11312111310 has 32 divisors (see below), whose sum is σ = 27152019072. Its totient is φ = 3016235040.

The previous prime is 11312111299. The next prime is 11312111311. The reversal of 11312111310 is 1311121311.

It is a super-2 number, since 2×113121113102 (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 11312111310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312111311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404397 + ... + 431463.

It is an arithmetic number, because the mean of its divisors is an integer number (848500596).

Almost surely, 211312111310 is an apocalyptic number.

11312111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11312111310 is an abundant number, since it is smaller than the sum of its proper divisors (15839907762).

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

11312111310 is a wasteful number, since it uses less digits than its factorization.

11312111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41008.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11312111310 its reverse (1311121311), we get a palindrome (12623232621).

The spelling of 11312111310 in words is "eleven billion, three hundred twelve million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 13931 27067 27862 41793 54134 69655 81201 83586 135335 139310 162402 208965 270670 406005 417930 812010 377070377 754140754 1131211131 1885351885 2262422262 3770703770 5656055655 11312111310