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2130821416 = 23377198721
BaseRepresentation
bin111111100000001…
…1100000100101000
312111111111221110201
41333000130010220
513330442241131
6551234521544
7103542453223
oct17700340450
95444457421
102130821416
119a387a739
124b57362b4
1327c5bc999
14162dd05ba
15c7104761
hex7f01c128

2130821416 has 16 divisors (see below), whose sum is σ = 4103271540. Its totient is φ = 1036615680.

The previous prime is 2130821411. The next prime is 2130821423. The reversal of 2130821416 is 6141280312.

It can be written as a sum of positive squares in 2 ways, for example, as 1923173316 + 207648100 = 43854^2 + 14410^2 .

It is not an unprimeable number, because it can be changed into a prime (2130821411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3599065 + ... + 3599656.

Almost surely, 22130821416 is an apocalyptic number.

It is an amenable number.

2130821416 is a deficient number, since it is larger than the sum of its proper divisors (1972450124).

2130821416 is a wasteful number, since it uses less digits than its factorization.

2130821416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198764 (or 7198760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2130821416 is about 46160.8212231975. The cubic root of 2130821416 is about 1286.8137248878.

It can be divided in two parts, 21308 and 21416, that added together give a palindrome (42724).

The spelling of 2130821416 in words is "two billion, one hundred thirty million, eight hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 37 74 148 296 7198721 14397442 28794884 57589768 266352677 532705354 1065410708 2130821416