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10115216001 = 3211597124391
BaseRepresentation
bin10010110101110100…
…11111001010000001
3222002221120012202200
421122322133022001
5131203443403001
64351420103413
7505443626442
oct113272371201
928087505680
1010115216001
114320859550
121b63694b69
13c5282aa17
146bd5952c9
153e306b086
hex25ae9f281

10115216001 has 48 divisors (see below), whose sum is σ = 16438256640. Its totient is φ = 5941404000.

The previous prime is 10115215997. The next prime is 10115216047. The reversal of 10115216001 is 10061251101.

It is a happy number.

10115216001 is a `hidden beast` number, since 1 + 0 + 11 + 52 + 1 + 600 + 1 = 666.

10115216001 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 10115216001 - 22 = 10115215997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10115216051) 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 47 ways as a sum of consecutive naturals, for example, 402516 + ... + 426906.

It is an arithmetic number, because the mean of its divisors is an integer number (342463680).

Almost surely, 210115216001 is an apocalyptic number.

10115216001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10115216001 is a deficient number, since it is larger than the sum of its proper divisors (6323040639).

10115216001 is a wasteful number, since it uses less digits than its factorization.

10115216001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24538 (or 24535 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 10115216001 its reverse (10061251101), we get a palindrome (20176467102).

The spelling of 10115216001 in words is "ten billion, one hundred fifteen million, two hundred sixteen thousand, one".

Divisors: 1 3 9 11 33 59 71 99 177 213 531 639 649 781 1947 2343 4189 5841 7029 12567 24391 37701 46079 73173 138237 219519 268301 414711 804903 1439069 1731761 2414709 4317207 5195283 12951621 15585849 15829759 19049371 47489277 57148113 102173899 142467831 171444339 306521697 919565091 1123912889 3371738667 10115216001