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212132201232 = 24372337220051
BaseRepresentation
bin1100010110010000010…
…0001000001100010000
3202021112212011100211210
43011210010020030100
511433421320414412
6241241401140120
721216555650040
oct3054404101420
9667485140753
10212132201232
1181a68108596
123514278a640
1317008990383
14a3a54b3720
1557b860a83c
hex3164108310

212132201232 has 240 divisors, whose sum is σ = 671699008512. Its totient is φ = 56404339200.

The previous prime is 212132201189. The next prime is 212132201251. The reversal of 212132201232 is 232102231212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 212132201199 and 212132201208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10569607 + ... + 10589657.

Almost surely, 2212132201232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212132201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335849504256).

212132201232 is an abundant number, since it is smaller than the sum of its proper divisors (459566807280).

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

212132201232 is a wasteful number, since it uses less digits than its factorization.

212132201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20166 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212132201232 its reverse (232102231212), we get a palindrome (444234432444).

The spelling of 212132201232 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred one thousand, two hundred thirty-two".