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13180199292 = 22321328162819
BaseRepresentation
bin11000100011001100…
…11110000101111100
31021000112212111102100
430101212132011330
5203443112334132
610015505225100
7644421563001
oct142146360574
937015774370
1013180199292
115653973897
12267a032190
1313208154c0
148d06758a8
1552219937c
hex31199e17c

13180199292 has 36 divisors (see below), whose sum is σ = 35879432680. Its totient is φ = 4055445792.

The previous prime is 13180199269. The next prime is 13180199293. The reversal of 13180199292 is 29299108131.

13180199292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180199293) 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 11 ways as a sum of consecutive naturals, for example, 14080942 + ... + 14081877.

Almost surely, 213180199292 is an apocalyptic number.

13180199292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13180199292 is an abundant number, since it is smaller than the sum of its proper divisors (22699233388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13180199292 is a wasteful number, since it uses less digits than its factorization.

13180199292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28162842 (or 28162837 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 13180199292 in words is "thirteen billion, one hundred eighty million, one hundred ninety-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 28162819 56325638 84488457 112651276 168976914 253465371 337953828 366116647 506930742 732233294 1013861484 1098349941 1464466588 2196699882 3295049823 4393399764 6590099646 13180199292