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212313033 = 3233770001
BaseRepresentation
bin11001010011110…
…10001111001001
3112210111121201200
430221322033021
5413323004113
633022334413
75155426302
oct1451721711
9483447650
10212313033
11a9932a19
125b12a409
1334ca891a
14202a97a9
151398c873
hexca7a3c9

212313033 has 12 divisors (see below), whose sum is σ = 307588788. Its totient is φ = 141120000.

The previous prime is 212313029. The next prime is 212313037. The reversal of 212313033 is 330313212.

It is an interprime number because it is at equal distance from previous prime (212313029) and next prime (212313037).

It can be written as a sum of positive squares in 2 ways, for example, as 124478649 + 87834384 = 11157^2 + 9372^2 .

It is not a de Polignac number, because 212313033 - 22 = 212313029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212312997 and 212313015.

It is not an unprimeable number, because it can be changed into a prime (212313037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31968 + ... + 38033.

It is an arithmetic number, because the mean of its divisors is an integer number (25632399).

Almost surely, 2212313033 is an apocalyptic number.

It is an amenable number.

212313033 is a deficient number, since it is larger than the sum of its proper divisors (95275755).

212313033 is a wasteful number, since it uses less digits than its factorization.

212313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70344 (or 70341 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 212313033 is about 14570.9654107063. The cubic root of 212313033 is about 596.5665312991.

Adding to 212313033 its reverse (330313212), we get a palindrome (542626245).

The spelling of 212313033 in words is "two hundred twelve million, three hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 337 1011 3033 70001 210003 630009 23590337 70771011 212313033