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2123010320 = 245171561037
BaseRepresentation
bin111111010001010…
…1001000100010000
312110221211002122212
41332202221010100
513321442312240
6550355251252
7103416201314
oct17642510420
95427732585
102123010320
1199a425092
124b2ba9b28
1327aab6532
14161d59b44
15c65b0165
hex7e8a9110

2123010320 has 40 divisors (see below), whose sum is σ = 5226355224. Its totient is φ = 799250432.

The previous prime is 2123010311. The next prime is 2123010341. The reversal of 2123010320 is 230103212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 759333136 + 1363677184 = 27556^2 + 36928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2123010295 and 2123010304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779159 + ... + 781878.

Almost surely, 22123010320 is an apocalyptic number.

2123010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123010320 is an abundant number, since it is smaller than the sum of its proper divisors (3103344904).

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

2123010320 is a wasteful number, since it uses less digits than its factorization.

2123010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561067 (or 1561061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2123010320 is about 46076.1361227263. The cubic root of 2123010320 is about 1285.2394129658.

Adding to 2123010320 its reverse (230103212), we get a palindrome (2353113532).

The spelling of 2123010320 in words is "two billion, one hundred twenty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1561037 3122074 6244148 7805185 12488296 15610370 24976592 26537629 31220740 53075258 62441480 106150516 124882960 132688145 212301032 265376290 424602064 530752580 1061505160 2123010320