Search a number
-
+
210022100021 = 12747914712347
BaseRepresentation
bin1100001110011001001…
…0101110110000110101
3202002002210122010011002
43003212102232300311
511420111124200041
6240252142253045
721113354252336
oct3034622566065
9662083563132
10210022100021
1181085000298
1234853b87185
1316a60776886
14a24515828d
1556e324a59b
hex30e64aec35

210022100021 has 16 divisors (see below), whose sum is σ = 212352368640. Its totient is φ = 207703485360.

The previous prime is 210022099957. The next prime is 210022100023. The reversal of 210022100021 is 120001220012.

It is a happy number.

210022100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 210022100021 - 26 = 210022099957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210022099975 and 210022100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210022100023) 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, 89484170 + ... + 89486516.

It is an arithmetic number, because the mean of its divisors is an integer number (13272023040).

Almost surely, 2210022100021 is an apocalyptic number.

It is an amenable number.

210022100021 is a deficient number, since it is larger than the sum of its proper divisors (2330268619).

210022100021 is a wasteful number, since it uses less digits than its factorization.

210022100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210022100021 its reverse (120001220012), we get a palindrome (330023320033).

The spelling of 210022100021 in words is "two hundred ten billion, twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 127 479 1471 2347 60833 186817 298069 704609 1124213 3452437 89485343 142775051 438459499 1653717323 210022100021