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212032121020 = 22512783477213
BaseRepresentation
bin1100010101111000011…
…0010110100010111100
3202021021212211202121021
43011132012112202330
511433220210333040
6241223424113524
721214232202016
oct3053606264274
9667255752537
10212032121020
1181a16671875
12351151658a4
1316cc101c205
14a3960a11b6
1557ae93c24a
hex315e1968bc

212032121020 has 24 divisors (see below), whose sum is σ = 448773502464. Its totient is φ = 84145029696.

The previous prime is 212032121003. The next prime is 212032121029. The reversal of 212032121020 is 20121230212.

It is a happy number.

212032121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212032120985 and 212032121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032121029) 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 7 ways as a sum of consecutive naturals, for example, 41736067 + ... + 41741146.

It is an arithmetic number, because the mean of its divisors is an integer number (18698895936).

Almost surely, 2212032121020 is an apocalyptic number.

212032121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212032121020 is an abundant number, since it is smaller than the sum of its proper divisors (236741381444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212032121020 is a wasteful number, since it uses less digits than its factorization.

212032121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83477349 (or 83477347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212032121020 its reverse (20121230212), we get a palindrome (232153351232).

The spelling of 212032121020 in words is "two hundred twelve billion, thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 83477213 166954426 333908852 417386065 834772130 1669544260 10601606051 21203212102 42406424204 53008030255 106016060510 212032121020