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11312003233 = 29463784121
BaseRepresentation
bin10101000100011111…
…10111100010100001
31002012100112022012201
422202033313202201
5141131333100413
65110251253201
7550215304156
oct124217674241
932170468181
1011312003233
114885370503
12223844a201
1310b3768a4b
147944ca22d
1546316e9dd
hex2a23f78a1

11312003233 has 8 divisors (see below), whose sum is σ = 11704735080. Its totient is φ = 10919448960.

The previous prime is 11312003231. The next prime is 11312003257. The reversal of 11312003233 is 33230021311.

11312003233 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 4 ways, for example, as 20178064 + 11291825169 = 4492^2 + 106263^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11312003233 - 21 = 11312003231 is a prime.

It is a super-2 number, since 2×113120032332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11312003233.

It is not an unprimeable number, because it can be changed into a prime (11312003231) 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, 92413 + ... + 176533.

It is an arithmetic number, because the mean of its divisors is an integer number (1463091885).

Almost surely, 211312003233 is an apocalyptic number.

It is an amenable number.

11312003233 is a deficient number, since it is larger than the sum of its proper divisors (392731847).

11312003233 is an equidigital number, since it uses as much as digits as its factorization.

11312003233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88787.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11312003233 its reverse (33230021311), we get a palindrome (44542024544).

The spelling of 11312003233 in words is "eleven billion, three hundred twelve million, three thousand, two hundred thirty-three".

Divisors: 1 29 4637 84121 134473 2439509 390069077 11312003233