Search a number
-
+
100592911001 = 11292231414073
BaseRepresentation
bin101110110101111001…
…1100000001010011001
3100121122111022100020102
41131223303200022121
53122003241123001
6114113423105145
710160533431002
oct1355363401231
9317574270212
10100592911001
11397300919a0
12175b44421b5
1396415c575b
144c23ac01a9
15293b306e6b
hex176bce0299

100592911001 has 16 divisors (see below), whose sum is σ = 114030927360. Its totient is φ = 87898715520.

The previous prime is 100592910997. The next prime is 100592911031. The reversal of 100592911001 is 100119295001.

It is not a de Polignac number, because 100592911001 - 22 = 100592910997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100592911031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635900 + ... + 778173.

It is an arithmetic number, because the mean of its divisors is an integer number (7126932960).

Almost surely, 2100592911001 is an apocalyptic number.

100592911001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100592911001 is a deficient number, since it is larger than the sum of its proper divisors (13438016359).

100592911001 is a wasteful number, since it uses less digits than its factorization.

100592911001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414336.

The product of its (nonzero) digits is 810, while the sum is 29.

The spelling of 100592911001 in words is "one hundred billion, five hundred ninety-two million, nine hundred eleven thousand, one".

Divisors: 1 11 29 223 319 2453 6467 71137 1414073 15554803 41008117 315338279 451089287 3468721069 9144810091 100592911001