Search a number
-
+
21331101231 = 3211379701811
BaseRepresentation
bin10011110111011011…
…101100011000101111
32001001121020012212100
4103313123230120233
5322141230214411
613444355310143
71353414240336
oct236733543057
961047205770
1021331101231
11905693a090
1241738ab353
13201c3b1bbb
141064dc0d1d
1584ca51456
hex4f76ec62f

21331101231 has 48 divisors (see below), whose sum is σ = 33791022720. Its totient is φ = 12859560000.

The previous prime is 21331101227. The next prime is 21331101299. The reversal of 21331101231 is 13210113312.

21331101231 is a `hidden beast` number, since 2 + 1 + 331 + 101 + 231 = 666.

It is not a de Polignac number, because 21331101231 - 22 = 21331101227 is a prime.

It is a super-3 number, since 3×213311012313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331101331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26301816 + ... + 26302626.

It is an arithmetic number, because the mean of its divisors is an integer number (703979640).

Almost surely, 221331101231 is an apocalyptic number.

21331101231 is a deficient number, since it is larger than the sum of its proper divisors (12459921489).

21331101231 is a wasteful number, since it uses less digits than its factorization.

21331101231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21331101231 its reverse (13210113312), we get a palindrome (34541214543).

The spelling of 21331101231 in words is "twenty-one billion, three hundred thirty-one million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 379 701 811 1137 2103 2433 3411 4169 6309 7299 7711 8921 12507 23133 26763 37521 69399 80289 265679 307369 568511 797037 922107 1705533 2391111 2766321 2922469 3381059 5116599 6253621 8767407 10143177 18760863 26302221 30429531 56282589 215465669 646397007 1939191021 2370122359 7110367077 21331101231