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2123021340 = 22345111091093
BaseRepresentation
bin111111010001010…
…1011110000011100
312110221211122210000
41332202223300130
513321443140330
6550355414300
7103416245406
oct17642536034
95427748700
102123021340
1199a4323a0
124b2bb4390
1327aabb55b
14161d5db76
15c65b3560
hex7e8abc1c

2123021340 has 240 divisors, whose sum is σ = 7338814560. Its totient is φ = 509483520.

The previous prime is 2123021311. The next prime is 2123021363. The reversal of 2123021340 is 431203212.

2123021340 is a `hidden beast` number, since 21 + 2 + 302 + 1 + 340 = 666.

It is a super-2 number, since 2×21230213402 = 9014439220190791200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1941834 + ... + 1942926.

It is an arithmetic number, because the mean of its divisors is an integer number (30578394).

Almost surely, 22123021340 is an apocalyptic number.

2123021340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669407280).

2123021340 is an abundant number, since it is smaller than the sum of its proper divisors (5215793220).

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

2123021340 is a wasteful number, since it uses less digits than its factorization.

2123021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123021340 is about 46076.2557072512. The cubic root of 2123021340 is about 1285.2416367442.

Adding to 2123021340 its reverse (431203212), we get a palindrome (2554224552).

The spelling of 2123021340 in words is "two billion, one hundred twenty-three million, twenty-one thousand, three hundred forty".