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21132012401 = 1719107611441
BaseRepresentation
bin10011101011100100…
…001110101101110001
32000112201121110022222
4103223210032231301
5321234243344101
613412524210425
71345446066413
oct235344165561
960481543288
1021132012401
118a64519765
124119099a15
131cba086566
1410467989b3
1583a32701b
hex4eb90eb71

21132012401 has 16 divisors (see below), whose sum is σ = 23772864960. Its totient is φ = 18666040320.

The previous prime is 21132012379. The next prime is 21132012409. The reversal of 21132012401 is 10421023112.

It is a cyclic number.

It is not a de Polignac number, because 21132012401 - 226 = 21064903537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21132012401.

It is not an unprimeable number, because it can be changed into a prime (21132012409) 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, 271160 + ... + 340281.

It is an arithmetic number, because the mean of its divisors is an integer number (1485804060).

Almost surely, 221132012401 is an apocalyptic number.

It is an amenable number.

21132012401 is a deficient number, since it is larger than the sum of its proper divisors (2640852559).

21132012401 is a wasteful number, since it uses less digits than its factorization.

21132012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611584.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21132012401 its reverse (10421023112), we get a palindrome (31553035513).

The spelling of 21132012401 in words is "twenty-one billion, one hundred thirty-two million, twelve thousand, four hundred one".

Divisors: 1 17 19 107 323 1819 2033 34561 611441 10394497 11617379 65424187 197495443 1112211179 1243059553 21132012401