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11953309127 = 171931297397
BaseRepresentation
bin10110010000111100…
…10000010111000111
31010212001021000111212
423020132100113013
5143440021343002
65254040522035
7602133310514
oct131036202707
933761230455
1011953309127
115084371081
12239718031b
1311865976a6
1481574630b
1549e5eb352
hex2c87905c7

11953309127 has 48 divisors (see below), whose sum is σ = 13943149920. Its totient is φ = 10182205440.

The previous prime is 11953309111. The next prime is 11953309129. The reversal of 11953309127 is 72190335911.

It is not a de Polignac number, because 11953309127 - 24 = 11953309111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953309129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30108893 + ... + 30109289.

It is an arithmetic number, because the mean of its divisors is an integer number (290482290).

Almost surely, 211953309127 is an apocalyptic number.

11953309127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11953309127 is a deficient number, since it is larger than the sum of its proper divisors (1989840793).

11953309127 is a wasteful number, since it uses less digits than its factorization.

11953309127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 41.

The spelling of 11953309127 in words is "eleven billion, nine hundred fifty-three million, three hundred nine thousand, one hundred twenty-seven".

Divisors: 1 17 19 31 97 323 397 527 589 961 1649 1843 3007 6749 7543 10013 12307 16337 18259 31331 38509 51119 57133 93217 128231 209219 233833 310403 381517 654653 731671 971261 1193779 1584689 1771123 3975161 6485789 7248823 12438407 20294243 22681801 30109091 37007149 123229991 385590617 629121533 703135831 11953309127