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21242122434 = 23213160156701
BaseRepresentation
bin10011110010001000…
…010001000011000010
32000211101210121220100
4103302020101003002
5322000440404214
613431500223230
71351254030051
oct236210210302
960741717810
1021242122434
119010695a95
124149b3ab16
132006b29a20
14105725c398
15844d27309
hex4f22110c2

21242122434 has 48 divisors (see below), whose sum is σ = 49596785784. Its totient is φ = 6531840000.

The previous prime is 21242122423. The next prime is 21242122457. The reversal of 21242122434 is 43422124212.

It is a happy number.

21242122434 is a `hidden beast` number, since 2 + 12 + 4 + 212 + 2 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20780087409 + 462035025 = 144153^2 + 21495^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21242122398 and 21242122407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346284 + ... + 402984.

Almost surely, 221242122434 is an apocalyptic number.

21242122434 is an abundant number, since it is smaller than the sum of its proper divisors (28354663350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21242122434 is a wasteful number, since it uses less digits than its factorization.

21242122434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58323 (or 58320 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 21242122434 its reverse (43422124212), we get a palindrome (64664246646).

The spelling of 21242122434 in words is "twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1601 3202 4803 9606 14409 20813 28818 41626 56701 62439 113402 124878 170103 187317 340206 374634 510309 737113 1020618 1474226 2211339 4422678 6634017 13268034 90778301 181556602 272334903 544669806 817004709 1180117913 1634009418 2360235826 3540353739 7080707478 10621061217 21242122434