Search a number
-
+
21114000211325 = 527481872503817
BaseRepresentation
bin1001100110011111111000…
…11110110111110101111101
32202202110220222101200211212
410303033330132313311331
510231412433023230300
6112523345432454205
74306302415415030
oct463177436676575
982673828350755
1021114000211325
11680044075100a
12245004bb4a365
13ba2070743108
1452dcccc55017
152693549ac935
hex1333fc7b7d7d

21114000211325 has 24 divisors (see below), whose sum is σ = 29922187482432. Its totient is φ = 14477865333120.

The previous prime is 21114000211321. The next prime is 21114000211349. The reversal of 21114000211325 is 52311200041112.

It is not a de Polignac number, because 21114000211325 - 22 = 21114000211321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21114000211325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114000211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7180817 + ... + 9684633.

It is an arithmetic number, because the mean of its divisors is an integer number (1246757811768).

Almost surely, 221114000211325 is an apocalyptic number.

21114000211325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21114000211325 is a deficient number, since it is larger than the sum of its proper divisors (8808187271107).

21114000211325 is a wasteful number, since it uses less digits than its factorization.

21114000211325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552021 (or 2552016 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 21114000211325 its reverse (52311200041112), we get a palindrome (73425200252437).

The spelling of 21114000211325 in words is "twenty-one trillion, one hundred fourteen billion, two hundred eleven thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 175 48187 240935 337309 1204675 1686545 2503817 8432725 12519085 17526719 62595425 87633595 438167975 120651429779 603257148895 844560008453 3016285744475 4222800042265 21114000211325