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21242122407 = 3211597874621
BaseRepresentation
bin10011110010001000…
…010001000010100111
32000211101210121212100
4103302020101002213
5322000440404112
613431500223143
71351254030012
oct236210210247
960741717770
1021242122407
119010695a70
124149b3aab3
132006b299cc
14105725c379
15844d272dc
hex4f22110a7

21242122407 has 48 divisors (see below), whose sum is σ = 34090392960. Its totient is φ = 12636993600.

The previous prime is 21242122381. The next prime is 21242122409. The reversal of 21242122407 is 70422124212.

It is a happy number.

21242122407 is a `hidden beast` number, since 2 + 1 + 242 + 12 + 2 + 407 = 666.

It is not a de Polignac number, because 21242122407 - 214 = 21242106023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242122409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4594557 + ... + 4599177.

It is an arithmetic number, because the mean of its divisors is an integer number (710216520).

Almost surely, 221242122407 is an apocalyptic number.

21242122407 is a deficient number, since it is larger than the sum of its proper divisors (12848270553).

21242122407 is a wasteful number, since it uses less digits than its factorization.

21242122407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 21242122407 its reverse (70422124212), we get a palindrome (91664246619).

The spelling of 21242122407 in words is "twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, four hundred seven".

Divisors: 1 3 9 11 33 59 99 177 531 649 787 1947 2361 4621 5841 7083 8657 13863 25971 41589 46433 50831 77913 139299 152493 272639 417897 457479 510763 817917 1532289 2453751 2999029 3636727 4596867 8997087 10910181 26991261 32730543 40003997 120011991 214566893 360035973 643700679 1931102037 2360235823 7080707469 21242122407