Search a number
-
+
1010000132999 = 111353257518533
BaseRepresentation
bin11101011001010001011…
…00101111101110000111
310120112222122102211001022
432230220230233232013
5113021440013223444
62051553200021355
7132653513323514
oct16545054575607
93515878384038
101010000132999
1135a37a820920
121438b300185b
13743200016c0
1436c5460230b
151b41464d9ee
hexeb28b2fb87

1010000132999 has 32 divisors (see below), whose sum is σ = 1213668235584. Its totient is φ = 828323758080.

The previous prime is 1010000132951. The next prime is 1010000133007. The reversal of 1010000132999 is 9992310000101.

It is not a de Polignac number, because 1010000132999 - 236 = 941280656263 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 (1010000132909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688537 + ... + 2207069.

It is an arithmetic number, because the mean of its divisors is an integer number (37927132362).

Almost surely, 21010000132999 is an apocalyptic number.

1010000132999 is a deficient number, since it is larger than the sum of its proper divisors (203668102585).

1010000132999 is a wasteful number, since it uses less digits than its factorization.

1010000132999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518867.

The product of its (nonzero) digits is 4374, while the sum is 35.

The spelling of 1010000132999 in words is "one trillion, ten billion, one hundred thirty-two thousand, nine hundred ninety-nine".

Divisors: 1 11 13 53 143 257 583 689 2827 3341 7579 13621 36751 149831 177073 518533 1947803 5703863 6740929 27482249 74150219 133262981 302304739 357269237 1465892791 1732418753 3929961607 7062937993 19056606283 77692317923 91818193909 1010000132999