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11933132343 = 31119233126693
BaseRepresentation
bin10110001110100010…
…10010011000110111
31010210122021221011120
423013101102120313
5143414340213333
65252040235023
7601466644206
oct130721223067
933718257146
1011933132343
115073a3aa50
12239046ba73
131182351972
14812bb323d
1549c962db3
hex2c7452637

11933132343 has 64 divisors (see below), whose sum is σ = 19680952320. Its totient is φ = 6342019200.

The previous prime is 11933132329. The next prime is 11933132399. The reversal of 11933132343 is 34323133911.

11933132343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11933132343 - 26 = 11933132279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933132243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433705 + ... + 460397.

It is an arithmetic number, because the mean of its divisors is an integer number (307514880).

Almost surely, 211933132343 is an apocalyptic number.

11933132343 is a deficient number, since it is larger than the sum of its proper divisors (7747819977).

11933132343 is a wasteful number, since it uses less digits than its factorization.

11933132343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780.

The product of its digits is 17496, while the sum is 33.

The spelling of 11933132343 in words is "eleven billion, nine hundred thirty-three million, one hundred thirty-two thousand, three hundred forty-three".

Divisors: 1 3 11 19 23 31 33 57 69 93 209 253 341 437 589 627 713 759 1023 1311 1767 2139 4807 6479 7843 13547 14421 19437 23529 26693 40641 80079 149017 293623 447051 507167 613939 827483 880869 1521501 1841817 2482449 5578837 6753329 9102313 11664841 15722177 16736511 19032109 20259987 27306939 34994523 47166531 57096327 128313251 172943947 209353199 361610071 384939753 518831841 628059597 1084830213 3977710781 11933132343