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10344233133 = 321388412249
BaseRepresentation
bin10011010001001000…
…00111100010101101
3222200220111111012200
421220210013202231
5132141110430013
64430240452113
7514224350043
oct115044074255
928626444180
1010344233133
114429060503
12200831a039
13c8b104810
14701b6c393
15408207e73
hex2689078ad

10344233133 has 12 divisors (see below), whose sum is σ = 16091029500. Its totient is φ = 6365681856.

The previous prime is 10344233131. The next prime is 10344233147. The reversal of 10344233133 is 33133244301.

10344233133 is a `hidden beast` number, since 1 + 0 + 344 + 2 + 3 + 313 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1331009289 + 9013223844 = 36483^2 + 94938^2 .

It is not a de Polignac number, because 10344233133 - 21 = 10344233131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10344233097 and 10344233106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344233131) 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, 44206008 + ... + 44206241.

It is an arithmetic number, because the mean of its divisors is an integer number (1340919125).

Almost surely, 210344233133 is an apocalyptic number.

10344233133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10344233133 is a deficient number, since it is larger than the sum of its proper divisors (5746796367).

10344233133 is a wasteful number, since it uses less digits than its factorization.

10344233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88412268 (or 88412265 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10344233133 its reverse (33133244301), we get a palindrome (43477477434).

The spelling of 10344233133 in words is "ten billion, three hundred forty-four million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 88412249 265236747 795710241 1149359237 3448077711 10344233133