Search a number
-
+
10901012991 = 3116114333779
BaseRepresentation
bin10100010011100000…
…00100000111111111
31001010201011211120220
422021300010013333
5134311124403431
65001410312423
7534065036661
oct121160040777
931121154526
1010901012991
114694379450
122142888713
131049579c5b
14755aa4531
1543c039b96
hex289c041ff

10901012991 has 32 divisors (see below), whose sum is σ = 16131467520. Its totient is φ = 6492115200.

The previous prime is 10901012977. The next prime is 10901012999. The reversal of 10901012991 is 19921010901.

It is not a de Polignac number, because 10901012991 - 25 = 10901012959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10901012999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2882740 + ... + 2886518.

It is an arithmetic number, because the mean of its divisors is an integer number (504108360).

Almost surely, 210901012991 is an apocalyptic number.

10901012991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10901012991 is a deficient number, since it is larger than the sum of its proper divisors (5230454529).

10901012991 is a wasteful number, since it uses less digits than its factorization.

10901012991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287.

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 10901012991 in words is "ten billion, nine hundred one million, twelve thousand, nine hundred ninety-one".

Divisors: 1 3 11 33 61 183 671 1433 2013 3779 4299 11337 15763 41569 47289 87413 124707 230519 262239 691557 961543 2535709 2884629 5415307 7607127 16245921 59568377 178705131 330333727 991001181 3633670997 10901012991