Search a number
-
+
10233544013 = 7211314783157
BaseRepresentation
bin10011000011111011…
…10111110101001101
3222102012012220021122
421201331313311031
5131424241402023
64411244210325
7511411455200
oct114175676515
928365186248
1010233544013
1143816290a0
121b972399a5
13c711ba8b4
146d1197937
153ed6412c8
hex261f77d4d

10233544013 has 96 divisors (see below), whose sum is σ = 13943881728. Its totient is φ = 7414243200.

The previous prime is 10233544007. The next prime is 10233544019. The reversal of 10233544013 is 31044533201.

It is an interprime number because it is at equal distance from previous prime (10233544007) and next prime (10233544019).

It is not a de Polignac number, because 10233544013 - 212 = 10233539917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233544019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65181731 + ... + 65181887.

It is an arithmetic number, because the mean of its divisors is an integer number (145248768).

Almost surely, 210233544013 is an apocalyptic number.

It is an amenable number.

10233544013 is a deficient number, since it is larger than the sum of its proper divisors (3710337715).

10233544013 is a wasteful number, since it uses less digits than its factorization.

10233544013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 10233544013 in words is "ten billion, two hundred thirty-three million, five hundred forty-four thousand, thirteen".

Divisors: 1 7 11 31 47 49 77 83 157 217 329 341 517 539 581 913 1099 1457 1519 1727 2303 2387 2573 3619 3901 4067 4867 6391 7379 7693 10199 12089 13031 16027 16709 18011 25333 27307 28303 34069 42911 44737 51653 53537 71393 81169 84623 91217 112189 120931 126077 143341 191149 198121 228749 238483 300377 361571 374759 403961 568183 612457 638519 785323 846517 1003387 1330241 1386847 1601243 2102639 2516239 2623313 2827727 3977281 4287199 4443571 5925619 6737027 7023709 9311687 11208701 17613673 18986167 19794089 30010393 31104997 47159189 65181809 123295711 132903169 208847837 217734979 330114323 930322183 1461934859 10233544013