Search a number
-
+
21101133029 is a prime number
BaseRepresentation
bin10011101001101110…
…011011110011100101
32000110120111121210112
4103221232123303211
5321203342224104
613405502302405
71344622446164
oct235156336345
960416447715
1021101133029
118a49048619
12410a887a05
131cb3864242
14104263b3db
1583777786e
hex4e9b9bce5

21101133029 has 2 divisors, whose sum is σ = 21101133030. Its totient is φ = 21101133028.

The previous prime is 21101132999. The next prime is 21101133037. The reversal of 21101133029 is 92033110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18679508929 + 2421624100 = 136673^2 + 49210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21101133029 is a prime.

It is a super-3 number, since 3×211011330293 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21101132995 and 21101133013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101133089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550566514 + 10550566515.

It is an arithmetic number, because the mean of its divisors is an integer number (10550566515).

Almost surely, 221101133029 is an apocalyptic number.

It is an amenable number.

21101133029 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101133029 is an equidigital number, since it uses as much as digits as its factorization.

21101133029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 21101133029 in words is "twenty-one billion, one hundred one million, one hundred thirty-three thousand, twenty-nine".