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21002122242 = 2322796141729
BaseRepresentation
bin10011100011110100…
…101111010000000010
32000012200012100112100
4103203310233100002
5321003020402432
613352004211230
71342311044043
oct234364572002
960180170470
1021002122242
1189a8172322
1240a1699b16
131c991a8a8a
1410334268ca
1582dc1b07c
hex4e3d2f402

21002122242 has 24 divisors (see below), whose sum is σ = 45507316140. Its totient is φ = 7000289280.

The previous prime is 21002122223. The next prime is 21002122243. The reversal of 21002122242 is 24222120012.

21002122242 is a `hidden beast` number, since 210 + 0 + 212 + 2 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17529495201 + 3472627041 = 132399^2 + 58929^2 .

It is a super-2 number, since 2×210021222422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21002122243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482434 + ... + 524162.

Almost surely, 221002122242 is an apocalyptic number.

21002122242 is an abundant number, since it is smaller than the sum of its proper divisors (24505193898).

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

21002122242 is a wasteful number, since it uses less digits than its factorization.

21002122242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69698 (or 69695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21002122242 its reverse (24222120012), we get a palindrome (45224242254).

The spelling of 21002122242 in words is "twenty-one billion, two million, one hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27961 41729 55922 83458 83883 125187 167766 250374 251649 375561 503298 751122 1166784569 2333569138 3500353707 7000707414 10501061121 21002122242