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2113221330 = 23251131371861
BaseRepresentation
bin111110111110101…
…0011001011010010
312110021101202200200
41331331103023102
513311441040310
6545405400030
7103240041063
oct17575231322
95407352620
102113221330
11994949510
124ab869016
13278a69a2c
1416092c56a
15c57c99c0
hex7df532d2

2113221330 has 192 divisors, whose sum is σ = 6357851136. Its totient is φ = 482112000.

The previous prime is 2113221317. The next prime is 2113221343. The reversal of 2113221330 is 331223112.

2113221330 is a `hidden beast` number, since 2 + 11 + 322 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (2113221317) and next prime (2113221343).

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

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 95 ways as a sum of consecutive naturals, for example, 1134600 + ... + 1136460.

It is an arithmetic number, because the mean of its divisors is an integer number (33113808).

Almost surely, 22113221330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178925568).

2113221330 is an abundant number, since it is smaller than the sum of its proper divisors (4244629806).

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

2113221330 is a wasteful number, since it uses less digits than its factorization.

2113221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2113221330 is about 45969.7871432966. The cubic root of 2113221330 is about 1283.2609986028.

Adding to 2113221330 its reverse (331223112), we get a palindrome (2444444442).

The spelling of 2113221330 in words is "two billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred thirty".