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10344401133 = 3112337479769
BaseRepresentation
bin10011010001001001…
…10000100011101101
3222200220211000122220
421220210300203231
5132141131314013
64430244225553
7514225646613
oct115044604355
928626730586
1010344401133
114429165750
12200839b2b9
13c8b163121
14701bb36b3
1540823cb23
hex2689308ed

10344401133 has 64 divisors (see below), whose sum is σ = 16179609600. Its totient is φ = 5814927360.

The previous prime is 10344401099. The next prime is 10344401141. The reversal of 10344401133 is 33110444301.

It is not a de Polignac number, because 10344401133 - 213 = 10344392941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344401143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13451373 + ... + 13452141.

It is an arithmetic number, because the mean of its divisors is an integer number (252806400).

Almost surely, 210344401133 is an apocalyptic number.

It is an amenable number.

10344401133 is a deficient number, since it is larger than the sum of its proper divisors (5835208467).

10344401133 is a wasteful number, since it uses less digits than its factorization.

10344401133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10344401133 its reverse (33110444301), we get a palindrome (43454845434).

The spelling of 10344401133 in words is "ten billion, three hundred forty-four million, four hundred one thousand, one hundred thirty-three".

Divisors: 1 3 11 23 33 37 69 111 253 407 479 759 769 851 1221 1437 2307 2553 5269 8459 9361 11017 15807 17687 17723 25377 28083 28453 33051 53061 53169 85359 121187 194557 194953 312983 363561 368351 407629 583671 584859 654419 938949 1105053 1222887 1963257 4051861 4483919 7198609 8472073 12155583 13451757 13628987 21595827 25416219 40886961 93192803 149918857 279578409 313466701 449756571 940400103 3448133711 10344401133