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213031332060 = 22357944943319
BaseRepresentation
bin1100011001100110101…
…0000010100011011100
3202100212112000221110120
43012121222002203130
511442242010111220
6241510520434540
721251054305521
oct3063152024334
9670775027416
10213031332060
11823896a6918
1235353918a50
1317120041251
14a44ca85148
15581c514a40
hex3199a828dc

213031332060 has 48 divisors (see below), whose sum is σ = 604038220800. Its totient is φ = 56089260864.

The previous prime is 213031331999. The next prime is 213031332061. The reversal of 213031332060 is 60233130312.

It is a happy number.

213031332060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213031332060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213031332061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22466920 + ... + 22476399.

It is an arithmetic number, because the mean of its divisors is an integer number (12584129600).

Almost surely, 2213031332060 is an apocalyptic number.

213031332060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213031332060 is an abundant number, since it is smaller than the sum of its proper divisors (391006888740).

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

213031332060 is a wasteful number, since it uses less digits than its factorization.

213031332060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44943410 (or 44943408 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213031332060 its reverse (60233130312), we get a palindrome (273264462372).

The spelling of 213031332060 in words is "two hundred thirteen billion, thirty-one million, three hundred thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 44943319 89886638 134829957 179773276 224716595 269659914 449433190 539319828 674149785 898866380 1348299570 2696599140 3550522201 7101044402 10651566603 14202088804 17752611005 21303133206 35505222010 42606266412 53257833015 71010444020 106515666030 213031332060