Search a number
-
+
21130133031 = 327973457721
BaseRepresentation
bin10011101011011101…
…000011111000100111
32000112121001222022200
4103223131003320213
5321233303224111
613412420025543
71345424111250
oct235335037047
960477058280
1021130133031
118a63455767
1241185322b3
131cb9878cc7
141046429b27
1583a0a5256
hex4eb743e27

21130133031 has 24 divisors (see below), whose sum is σ = 35241102624. Its totient is φ = 11949880320.

The previous prime is 21130133029. The next prime is 21130133159. The reversal of 21130133031 is 13033103112.

It is a happy number.

21130133031 is a `hidden beast` number, since 2 + 1 + 1 + 301 + 330 + 31 = 666.

It is not a de Polignac number, because 21130133031 - 21 = 21130133029 is a prime.

It is a super-2 number, since 2×211301330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21130132995 and 21130133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130133831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722750 + ... + 1734971.

It is an arithmetic number, because the mean of its divisors is an integer number (1468379276).

Almost surely, 221130133031 is an apocalyptic number.

21130133031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21130133031 is a deficient number, since it is larger than the sum of its proper divisors (14110969593).

21130133031 is a wasteful number, since it uses less digits than its factorization.

21130133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457831 (or 3457828 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21130133031 its reverse (13033103112), we get a palindrome (34163236143).

The spelling of 21130133031 in words is "twenty-one billion, one hundred thirty million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 9 21 63 97 291 679 873 2037 6111 3457721 10373163 24204047 31119489 72612141 217836423 335398937 1006196811 2347792559 3018590433 7043377677 21130133031