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21124213002 = 2322959967559
BaseRepresentation
bin10011101011000110…
…011110100100001010
32000112011221012120100
4103223012132210022
5321230244304002
613412045110230
71345322563554
oct235306364412
960464835510
1021124213002
118a60081982
124116558376
131cb8585529
1410457284d4
158397d611c
hex4eb19e90a

21124213002 has 48 divisors (see below), whose sum is σ = 47427120000. Its totient is φ = 6787146912.

The previous prime is 21124212997. The next prime is 21124213007. The reversal of 21124213002 is 20031242112.

It is a happy number.

21124213002 is a `hidden beast` number, since 211 + 2 + 421 + 30 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21124212997) and next prime (21124213007).

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 (21124213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278899 + ... + 346457.

It is an arithmetic number, because the mean of its divisors is an integer number (988065000).

Almost surely, 221124213002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23713560000).

21124213002 is an abundant number, since it is smaller than the sum of its proper divisors (26302906998).

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

21124213002 is a wasteful number, since it uses less digits than its factorization.

21124213002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68195 (or 68192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21124213002 its reverse (20031242112), we get a palindrome (41155455114).

The spelling of 21124213002 in words is "twenty-one billion, one hundred twenty-four million, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 599 1198 1797 3594 5391 10782 17371 34742 52113 67559 104226 135118 156339 202677 312678 405354 608031 1216062 1959211 3918422 5877633 11755266 17632899 35265798 40467841 80935682 121403523 242807046 364210569 728421138 1173567389 2347134778 3520702167 7041404334 10562106501 21124213002