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199120321 = 10321372
BaseRepresentation
bin10111101111001…
…01010111000001
3111212200100201201
423313211113001
5401433322241
631431501201
74635331501
oct1367452701
9455610651
10199120321
11a2442054
1256827801
1332339a9a
141c633a01
1512733931
hexbde55c1

199120321 has 9 divisors (see below), whose sum is σ = 202550691. Its totient is φ = 195747792.

The previous prime is 199120319. The next prime is 199120333. The reversal of 199120321 is 123021991.

The square root of 199120321 is 14111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 116964225 + 82156096 = 10815^2 + 9064^2 .

It is not a de Polignac number, because 199120321 - 21 = 199120319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 199120321.

It is not an unprimeable number, because it can be changed into a prime (199120381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1453365 + ... + 1453501.

Almost surely, 2199120321 is an apocalyptic number.

199120321 is the 14111-st square number.

199120321 is the 7056-th centered octagonal number.

It is an amenable number.

199120321 is a deficient number, since it is larger than the sum of its proper divisors (3430370).

199120321 is an frugal number, since it uses more digits than its factorization.

199120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The cubic root of 199120321 is about 583.9448885020.

The spelling of 199120321 in words is "one hundred ninety-nine million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 103 137 10609 14111 18769 1453433 1933207 199120321