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210232337121 = 321528372
BaseRepresentation
bin1100001111001011010…
…0101110001011100001
3202002122110020021020100
43003302310232023201
511421023434241441
6240325052333013
721121516244442
oct3036264561341
9662573207210
10210232337121
1181182745564
12348b2474169
1316a951a6621
14a2650432c9
155706927cb6
hex30f2d2e2e1

210232337121 has 9 divisors (see below), whose sum is σ = 303670918291. Its totient is φ = 140153974392.

The previous prime is 210232337113. The next prime is 210232337129. The reversal of 210232337121 is 121733232012.

The square root of 210232337121 is 458511.

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

210232337121 is a `hidden beast` number, since 210 + 2 + 323 + 3 + 7 + 121 = 666.

210232337121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210232337113) and next prime (210232337129).

It can be written as a sum of positive squares in only one way, i.e., 23120723025 + 187111614096 = 152055^2 + 432564^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 210232337121 - 23 = 210232337113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210232337129) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1299115 + ... + 1451951.

Almost surely, 2210232337121 is an apocalyptic number.

210232337121 is the 458511-st square number.

210232337121 is the 229256-th centered octagonal number.

It is an amenable number.

210232337121 is a deficient number, since it is larger than the sum of its proper divisors (93438581170).

210232337121 is an frugal number, since it uses more digits than its factorization.

210232337121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305680 (or 152840 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 210232337121 its reverse (121733232012), we get a palindrome (331965569133).

The spelling of 210232337121 in words is "two hundred ten billion, two hundred thirty-two million, three hundred thirty-seven thousand, one hundred twenty-one".

Divisors: 1 3 9 152837 458511 1375533 23359148569 70077445707 210232337121