Search a number
-
+
21001111131 = 37111337318749
BaseRepresentation
bin10011100011110000…
…111000011001011011
32000012121021222112210
4103203300320121123
5321002241024011
613351530410203
71342266333150
oct234360703133
960177258483
1021001111131
1189a76416a0
1240a1290963
131c98c137a0
141033242227
1582dabb6a6
hex4e3c3865b

21001111131 has 64 divisors (see below), whose sum is σ = 37699200000. Its totient is φ = 10042928640.

The previous prime is 21001111081. The next prime is 21001111181. The reversal of 21001111131 is 13111110012.

It is an interprime number because it is at equal distance from previous prime (21001111081) and next prime (21001111181).

It is not a de Polignac number, because 21001111131 - 26 = 21001111067 is a prime.

It is a super-2 number, since 2×210011111312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21001111181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110745 + ... + 1129493.

It is an arithmetic number, because the mean of its divisors is an integer number (589050000).

Almost surely, 221001111131 is an apocalyptic number.

21001111131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21001111131 is a deficient number, since it is larger than the sum of its proper divisors (16698088869).

21001111131 is a wasteful number, since it uses less digits than its factorization.

21001111131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19156.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21001111131 its reverse (13111110012), we get a palindrome (34112221143).

The spelling of 21001111131 in words is "twenty-one billion, one million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 373 429 1001 1119 2611 3003 4103 4849 7833 12309 14547 18749 28721 33943 53339 56247 86163 101829 131243 160017 206239 243737 373373 393729 618717 731211 1120119 1443673 1706159 2681107 4331019 5118477 6993377 8043321 18767749 20980131 48953639 56303247 76927147 90913901 146860917 230781441 272741703 538490029 636397307 1000052911 1615470087 1909191921 3000158733 7000370377 21001111131