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13124412343332 = 22322358771545581
BaseRepresentation
bin1011111011111100001111…
…1011111000010000100100
31201110200101212021101221100
42332333003323320100210
53210012244024441312
643525134412520100
72523131113151463
oct276770373702044
951420355241840
1013124412343332
114200039684754
12157b723180030
1374281c037b14
1433532137a9da
1517b5e1bb35dc
hexbefc3ef8424

13124412343332 has 36 divisors (see below), whose sum is σ = 33175759980636. Its totient is φ = 4374782736960.

The previous prime is 13124412343307. The next prime is 13124412343333. The reversal of 13124412343332 is 23334321442131.

13124412343332 is a `hidden beast` number, since 1 + 31 + 2 + 44 + 123 + 433 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4365985176036 + 8758427167296 = 2089494^2 + 2959464^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13124412343333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7718782 + ... + 9264362.

It is an arithmetic number, because the mean of its divisors is an integer number (921548888351).

Almost surely, 213124412343332 is an apocalyptic number.

13124412343332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13124412343332 is an abundant number, since it is smaller than the sum of its proper divisors (20051347637304).

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

13124412343332 is a wasteful number, since it uses less digits than its factorization.

13124412343332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781468 (or 1781463 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 13124412343332 its reverse (23334321442131), we get a palindrome (36458733785463).

The spelling of 13124412343332 in words is "thirteen trillion, one hundred twenty-four billion, four hundred twelve million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 235877 471754 707631 943508 1415262 1545581 2122893 2830524 3091162 4245786 4636743 6182324 8491572 9273486 13910229 18546972 27820458 55640916 364567009537 729134019074 1093701028611 1458268038148 2187402057222 3281103085833 4374804114444 6562206171666 13124412343332