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2120400341 = 3169599829
BaseRepresentation
bin111111001100010…
…1011110111010101
312110202220111102222
41332120223313111
513320310302331
6550223312125
7103355051123
oct17630536725
95422814388
102120400341
11998a02184
124b214b645
1327a3b1577
1416187a913
15c6246b7b
hex7e62bdd5

2120400341 has 8 divisors (see below), whose sum is σ = 2189337600. Its totient is φ = 2051496720.

The previous prime is 2120400319. The next prime is 2120400343. The reversal of 2120400341 is 1430040212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120400341 - 214 = 2120383957 is a prime.

It is a super-3 number, since 3×21204003413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120400343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210815 + ... + 220643.

It is an arithmetic number, because the mean of its divisors is an integer number (273667200).

Almost surely, 22120400341 is an apocalyptic number.

It is an amenable number.

2120400341 is a deficient number, since it is larger than the sum of its proper divisors (68937259).

2120400341 is an equidigital number, since it uses as much as digits as its factorization.

2120400341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16819.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2120400341 is about 46047.8049531137. The cubic root of 2120400341 is about 1284.7125159441.

Adding to 2120400341 its reverse (1430040212), we get a palindrome (3550440553).

The spelling of 2120400341 in words is "two billion, one hundred twenty million, four hundred thousand, three hundred forty-one".

Divisors: 1 31 6959 9829 215729 304699 68400011 2120400341