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212333101 = 1978771229
BaseRepresentation
bin11001010011111…
…11001000101101
3112210112122020221
430221333020231
5413324124401
633023011341
75155541641
oct1451771055
9483478227
10212333101
11a9947002
125b139b51
1334cb4ab6
14202b2c21
15139937a1
hexca7f22d

212333101 has 8 divisors (see below), whose sum is σ = 213828120. Its totient is φ = 210842688.

The previous prime is 212333087. The next prime is 212333123. The reversal of 212333101 is 101333212.

It can be written as a sum of positive squares in 4 ways, for example, as 189723076 + 22610025 = 13774^2 + 4755^2 .

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 212333101 - 223 = 203944493 is a prime.

It is a super-3 number, since 3×2123331013 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212333501) 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, 172155 + ... + 173383.

It is an arithmetic number, because the mean of its divisors is an integer number (26728515).

Almost surely, 2212333101 is an apocalyptic number.

It is an amenable number.

212333101 is a deficient number, since it is larger than the sum of its proper divisors (1495019).

212333101 is a wasteful number, since it uses less digits than its factorization.

212333101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 212333101 is about 14571.6540241662. The cubic root of 212333101 is about 596.5853266909.

Adding to 212333101 its reverse (101333212), we get a palindrome (313666313).

The spelling of 212333101 in words is "two hundred twelve million, three hundred thirty-three thousand, one hundred one".

Divisors: 1 197 877 1229 172769 242113 1077833 212333101