Search a number
-
+
21242410319 = 1347233149213
BaseRepresentation
bin10011110010001001…
…010111010101001111
32000211102100020210202
4103302021113111033
5322001024112234
613431510324115
71351256336264
oct236211272517
960742306722
1021242410319
119010872309
12414a05963b
132006bcaa80
1410572d526b
15844d8277e
hex4f225754f

21242410319 has 16 divisors (see below), whose sum is σ = 23463603072. Its totient is φ = 19108685568.

The previous prime is 21242410297. The next prime is 21242410331. The reversal of 21242410319 is 91301424212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21242410319 is a prime.

It is a super-2 number, since 2×212424103192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21242410291 and 21242410300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242415319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67757 + ... + 216969.

It is an arithmetic number, because the mean of its divisors is an integer number (1466475192).

Almost surely, 221242410319 is an apocalyptic number.

21242410319 is a deficient number, since it is larger than the sum of its proper divisors (2221192753).

21242410319 is a wasteful number, since it uses less digits than its factorization.

21242410319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149506.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 21242410319 in words is "twenty-one billion, two hundred forty-two million, four hundred ten thousand, three hundred nineteen".

Divisors: 1 13 47 233 611 3029 10951 142363 149213 1939769 7013011 34766629 91169143 451966177 1634031563 21242410319