Search a number
-
+
21010444422030 = 23257137352769019
BaseRepresentation
bin1001100011011111000000…
…00100111000101110001110
32202101120121222220112200100
410301233200010320232032
510223213342233001110
6112404022004511530
74265645253630630
oct461574004705616
982346558815610
1021010444422030
116770530153878
122433b6b3ab5a6
13b9537936284b
14528ca7872a50
152667e34e5bc0
hex131be0138b8e

21010444422030 has 192 divisors, whose sum is σ = 62905477340160. Its totient is φ = 4765912653312.

The previous prime is 21010444421977. The next prime is 21010444422059. The reversal of 21010444422030 is 3022444401012.

21010444422030 is a `hidden beast` number, since 2 + 1 + 0 + 10 + 4 + 4 + 442 + 203 + 0 = 666.

It is a super-2 number, since 2×210104444220302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21010444421985 and 21010444422003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304380861 + ... + 304449879.

It is an arithmetic number, because the mean of its divisors is an integer number (327632694480).

Almost surely, 221010444422030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010444422030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31452738670080).

21010444422030 is an abundant number, since it is smaller than the sum of its proper divisors (41895032918130).

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

21010444422030 is a wasteful number, since it uses less digits than its factorization.

21010444422030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72703 (or 72700 counting only the distinct ones).

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

Adding to 21010444422030 its reverse (3022444401012), we get a palindrome (24032888823042).

The spelling of 21010444422030 in words is "twenty-one trillion, ten billion, four hundred forty-four million, four hundred twenty-two thousand, thirty".