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2130212032 = 26132560351
BaseRepresentation
bin111111011111000…
…0111010011000000
312111110100222112221
41332332013103000
513330313241112
6551213500424
7103534334464
oct17676072300
95443328487
102130212032
119a34a3913
124b54a1714
1327c4384c0
14162cb24a4
15c7033e07
hex7ef874c0

2130212032 has 28 divisors (see below), whose sum is σ = 4552305856. Its totient is φ = 983174400.

The previous prime is 2130212009. The next prime is 2130212039. The reversal of 2130212032 is 2302120312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2130211997 and 2130212015.

It is not an unprimeable number, because it can be changed into a prime (2130212039) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1279344 + ... + 1281007.

It is an arithmetic number, because the mean of its divisors is an integer number (162582352).

Almost surely, 22130212032 is an apocalyptic number.

It is an amenable number.

2130212032 is an abundant number, since it is smaller than the sum of its proper divisors (2422093824).

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

2130212032 is a wasteful number, since it uses less digits than its factorization.

2130212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560376 (or 2560366 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2130212032 is about 46154.2200887416. The cubic root of 2130212032 is about 1286.6910431754.

Adding to 2130212032 its reverse (2302120312), we get a palindrome (4432332344).

The spelling of 2130212032 in words is "two billion, one hundred thirty million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2560351 5120702 10241404 20482808 33284563 40965616 66569126 81931232 133138252 163862464 266276504 532553008 1065106016 2130212032