Search a number
-
+
100201200011 = 1121924794789
BaseRepresentation
bin101110101010001110…
…1001111100110001011
3100120122012020100202222
41131110131033212023
53120203001400021
6114010511244255
710145036101313
oct1352435174613
9316565210688
10100201200011
1139549a68700
121750521968b
1395ab3c6cc3
144bc7a76443
152916c2e6ab
hex175474f98b

100201200011 has 36 divisors (see below), whose sum is σ = 116507361600. Its totient is φ = 86099539680.

The previous prime is 100201199977. The next prime is 100201200013. The reversal of 100201200011 is 110002102001.

It is a de Polignac number, because none of the positive numbers 2k-100201200011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201200013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20920805 + ... + 20925593.

It is an arithmetic number, because the mean of its divisors is an integer number (3236315600).

Almost surely, 2100201200011 is an apocalyptic number.

100201200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201200011 is a deficient number, since it is larger than the sum of its proper divisors (16306161589).

100201200011 is a wasteful number, since it uses less digits than its factorization.

100201200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201200011 its reverse (110002102001), we get a palindrome (210203302012).

The spelling of 100201200011 in words is "one hundred billion, two hundred one million, two hundred thousand, eleven".

Divisors: 1 11 19 121 209 361 479 2299 3971 4789 5269 9101 43681 52679 57959 90991 100111 172919 579469 1000901 1101221 1728829 1902109 2293931 11009911 19017119 20923199 25233241 43584689 209188309 277565651 479431579 828109091 5273747369 9109200001 100201200011