Search a number
-
+
2211210213030 = 23257133725728393
BaseRepresentation
bin100000001011010110011…
…001100011011010100110
321211101112001010100202200
4200023112121203122212
5242212024303304110
64411452124515330
7315516564456630
oct40132631433246
97741461110680
102211210213030
11782850578a55
122b86699abb46
131306931cc9a0
1479047721a50
153c7ba6b66c0
hex202d66636a6

2211210213030 has 384 divisors, whose sum is σ = 7295646129408. Its totient is φ = 452149641216.

The previous prime is 2211210213029. The next prime is 2211210213049. The reversal of 2211210213030 is 303120121122.

2211210213030 is a `hidden beast` number, since 2 + 211 + 210 + 213 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2211210212994 and 2211210213012.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 77864514 + ... + 77892906.

It is an arithmetic number, because the mean of its divisors is an integer number (18999078462).

Almost surely, 22211210213030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211210213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647823064704).

2211210213030 is an abundant number, since it is smaller than the sum of its proper divisors (5084435916378).

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

2211210213030 is a wasteful number, since it uses less digits than its factorization.

2211210213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28720 (or 28717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2211210213030 its reverse (303120121122), we get a palindrome (2514330334152).

The spelling of 2211210213030 in words is "two trillion, two hundred eleven billion, two hundred ten million, two hundred thirteen thousand, thirty".