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11312233332 = 2233725478003
BaseRepresentation
bin10101000100100001…
…01111101101110100
31002012100221222211220
422202100233231310
5141131412431312
65110300230340
7550220253051
oct124220575564
932170858756
1011312233332
114885508374
12223853b3b0
1310b38196ba
1479454a028
154631b7c8c
hex2a242fb74

11312233332 has 24 divisors (see below), whose sum is σ = 27108596256. Its totient is φ = 3668832288.

The previous prime is 11312233307. The next prime is 11312233337. The reversal of 11312233332 is 23333221311.

11312233332 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 2×113122333322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312233337) 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, 12738558 + ... + 12739445.

It is an arithmetic number, because the mean of its divisors is an integer number (1129524844).

Almost surely, 211312233332 is an apocalyptic number.

11312233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11312233332 is an abundant number, since it is smaller than the sum of its proper divisors (15796362924).

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

11312233332 is a wasteful number, since it uses less digits than its factorization.

11312233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25478047 (or 25478045 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 11312233332 its reverse (23333221311), we get a palindrome (34645454643).

The spelling of 11312233332 in words is "eleven billion, three hundred twelve million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 25478003 50956006 76434009 101912012 152868018 305736036 942686111 1885372222 2828058333 3770744444 5656116666 11312233332