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123231133332 = 223217201358061
BaseRepresentation
bin111001011000100100…
…1011101111010010100
3102210002012010012011100
41302301021131322110
54004334132231312
6132340034510100
711621532231126
oct1626111357224
9383065105140
10123231133332
114829784244a
121ba71a35330
13b80b736998
145d70517216
1533139a35dc
hex1cb125de94

123231133332 has 36 divisors (see below), whose sum is σ = 329824505556. Its totient is φ = 38660747520.

The previous prime is 123231133297. The next prime is 123231133369. The reversal of 123231133332 is 233331132321.

123231133332 is a `hidden beast` number, since 1 + 2 + 323 + 1 + 1 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84171935376 + 39059197956 = 290124^2 + 197634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1232311333322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123231133296 and 123231133305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100678419 + ... + 100679642.

It is an arithmetic number, because the mean of its divisors is an integer number (9161791821).

Almost surely, 2123231133332 is an apocalyptic number.

123231133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123231133332 is an abundant number, since it is smaller than the sum of its proper divisors (206593372224).

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

123231133332 is a wasteful number, since it uses less digits than its factorization.

123231133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201358088 (or 201358083 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 123231133332 its reverse (233331132321), we get a palindrome (356562265653).

The spelling of 123231133332 in words is "one hundred twenty-three billion, two hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 201358061 402716122 604074183 805432244 1208148366 1812222549 2416296732 3423087037 3624445098 6846174074 7248890196 10269261111 13692348148 20538522222 30807783333 41077044444 61615566666 123231133332