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987135743321 = 713101107402431
BaseRepresentation
bin11100101110101011110…
…00000001010101011001
310111100222012001110211222
432113111320001111121
5112133123222241241
62033252304501425
7131214100242350
oct16272570012531
93440865043758
10987135743321
11350707435502
1213b39191a875
1372118073840
1435ac5b34997
151aa271c9a4b
hexe5d5e01559

987135743321 has 16 divisors (see below), whose sum is σ = 1226965383168. Its totient is φ = 773297496000.

The previous prime is 987135743291. The next prime is 987135743357. The reversal of 987135743321 is 123347531789.

987135743321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-987135743321 is a prime.

It is a super-2 number, since 2×9871357433212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (987135743921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53692025 + ... + 53710406.

It is an arithmetic number, because the mean of its divisors is an integer number (76685336448).

Almost surely, 2987135743321 is an apocalyptic number.

987135743321 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

987135743321 is a deficient number, since it is larger than the sum of its proper divisors (239829639847).

987135743321 is a wasteful number, since it uses less digits than its factorization.

987135743321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107402552.

The product of its digits is 3810240, while the sum is 53.

The spelling of 987135743321 in words is "nine hundred eighty-seven billion, one hundred thirty-five million, seven hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 7 13 91 101 707 1313 9191 107402431 751817017 1396231603 9773621221 10847645531 75933518717 141019391903 987135743321