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1313434000215 = 32541843184437
BaseRepresentation
bin10011000111001110110…
…001000101101101010111
311122120012110210101001200
4103013032301011231113
5133004403101001330
62443214440523543
7163615055536641
oct23071661055527
94576173711050
101313434000215
1146702a285407
121926764805b3
1396b193833ac
14477db809891
1524273504a60
hex131cec45b57

1313434000215 has 48 divisors (see below), whose sum is σ = 2332450463616. Its totient is φ = 683323660800.

The previous prime is 1313434000211. The next prime is 1313434000223. The reversal of 1313434000215 is 5120004343131.

It is a happy number.

1313434000215 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 43 + 400 + 0 + 215 = 666.

It is not a de Polignac number, because 1313434000215 - 22 = 1313434000211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313434000211) 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, 15512977 + ... + 15597413.

It is an arithmetic number, because the mean of its divisors is an integer number (48592717992).

Almost surely, 21313434000215 is an apocalyptic number.

1313434000215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1313434000215 is a deficient number, since it is larger than the sum of its proper divisors (1019016463401).

1313434000215 is a wasteful number, since it uses less digits than its factorization.

1313434000215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92920 (or 92917 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1313434000215 its reverse (5120004343131), we get a palindrome (6433438343346).

The spelling of 1313434000215 in words is "one trillion, three hundred thirteen billion, four hundred thirty-four million, two hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 8431 25293 42155 75879 84437 126465 253311 345671 379395 422185 759933 1037013 1266555 1728355 3111039 3461917 3799665 5185065 10385751 15555195 17309585 31157253 51928755 155786265 711888347 2135665041 3559441735 6406995123 10678325205 29187422227 32034975615 87562266681 145937111135 262686800043 437811333405 1313434000215