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2121412340 = 225106070617
BaseRepresentation
bin111111001110010…
…0010111011110100
312110211210220122102
41332130202323310
513321040143330
6550301121232
7103366464425
oct17634427364
95424726572
102121412340
11999533543
124b2559218
1327a677098
14161a6164c
15c6396945
hex7e722ef4

2121412340 has 12 divisors (see below), whose sum is σ = 4454965956. Its totient is φ = 848564928.

The previous prime is 2121412289. The next prime is 2121412399. The reversal of 2121412340 is 432141212.

It can be written as a sum of positive squares in 2 ways, for example, as 1655025124 + 466387216 = 40682^2 + 21596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106070617 = 2121412340 / (2 + 1 + 2 + 1 + 4 + 1 + 2 + 3 + 4 + 0).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 53035289 + ... + 53035328.

It is an arithmetic number, because the mean of its divisors is an integer number (371247163).

Almost surely, 22121412340 is an apocalyptic number.

2121412340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121412340 is an abundant number, since it is smaller than the sum of its proper divisors (2333553616).

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

2121412340 is a wasteful number, since it uses less digits than its factorization.

2121412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106070626 (or 106070624 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2121412340 is about 46058.7922116940. The cubic root of 2121412340 is about 1284.9168674486.

Adding to 2121412340 its reverse (432141212), we get a palindrome (2553553552).

The spelling of 2121412340 in words is "two billion, one hundred twenty-one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 106070617 212141234 424282468 530353085 1060706170 2121412340