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11312000011 = 132173740031
BaseRepresentation
bin10101000100011111…
…10110110000001011
31002012100112010210101
422202033312300023
5141131333000021
65110251230231
7550215261604
oct124217666013
932170463711
1011312000011
114885369044
122238448377
1310b3767440
147944c8dab
1546316da91
hex2a23f6c0b

11312000011 has 8 divisors (see below), whose sum is σ = 12183018624. Its totient is φ = 10441104960.

The previous prime is 11311999969. The next prime is 11312000023. The reversal of 11312000011 is 11000021311.

11312000011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11312000011 - 27 = 11311999883 is a prime.

It is a super-2 number, since 2×113120000112 (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 (11312000071) 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 7 ways as a sum of consecutive naturals, for example, 262566 + ... + 302596.

It is an arithmetic number, because the mean of its divisors is an integer number (1522877328).

Almost surely, 211312000011 is an apocalyptic number.

11312000011 is a deficient number, since it is larger than the sum of its proper divisors (871018613).

11312000011 is a wasteful number, since it uses less digits than its factorization.

11312000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61781.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11312000011 its reverse (11000021311), we get a palindrome (22312021322).

The spelling of 11312000011 in words is "eleven billion, three hundred twelve million, eleven", and thus it is an aban number.

Divisors: 1 13 21737 40031 282581 520403 870153847 11312000011