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11312001233 = 137325746381
BaseRepresentation
bin10101000100011111…
…10111000011010001
31002012100112012110122
422202033313003101
5141131333014413
65110251240025
7550215265301
oct124217670321
932170465418
1011312001233
114885369a55
122238449015
1310b3767b70
147944c9601
1546316e108
hex2a23f70d1

11312001233 has 16 divisors (see below), whose sum is σ = 12397352016. Its totient is φ = 10258513920.

The previous prime is 11312001221. The next prime is 11312001269. The reversal of 11312001233 is 33210021311.

11312001233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 693110929 + 10618890304 = 26327^2 + 103048^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312001233 - 220 = 11310952657 is a prime.

It is a super-2 number, since 2×113120012332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11312001293) by changing a digit.

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, 220703 + ... + 267083.

It is an arithmetic number, because the mean of its divisors is an integer number (774834501).

Almost surely, 211312001233 is an apocalyptic number.

11312001233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11312001233 is a deficient number, since it is larger than the sum of its proper divisors (1085350783).

11312001233 is a wasteful number, since it uses less digits than its factorization.

11312001233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46724.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11312001233 its reverse (33210021311), we get a palindrome (44522022544).

The spelling of 11312001233 in words is "eleven billion, three hundred twelve million, one thousand, two hundred thirty-three".

Divisors: 1 13 73 257 949 3341 18761 46381 243893 602953 3385813 11919917 44015569 154958921 870153941 11312001233