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212133213312 = 273552430243
BaseRepresentation
bin1100010110010000011…
…1111111010010000000
3202021112221001210011020
43011210013333102000
511433422100311222
6241241434545440
721216600363516
oct3054407772200
9667487053136
10212133213312
1181a68739a19
1235142b98280
1317008c55c37
14a3a56984b6
1557b875a65c
hex31641ff480

212133213312 has 32 divisors (see below), whose sum is σ = 563478848880. Its totient is φ = 70711070976.

The previous prime is 212133213289. The next prime is 212133213323. The reversal of 212133213312 is 213312331212.

212133213312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 276214738 + ... + 276215505.

Almost surely, 2212133213312 is an apocalyptic number.

It is an amenable number.

212133213312 is an abundant number, since it is smaller than the sum of its proper divisors (351345635568).

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

212133213312 is an equidigital number, since it uses as much as digits as its factorization.

212133213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552430260 (or 552430248 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 212133213312 its reverse (213312331212), we get a palindrome (425445544524).

The spelling of 212133213312 in words is "two hundred twelve billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 552430243 1104860486 1657290729 2209720972 3314581458 4419441944 6629162916 8838883888 13258325832 17677767776 26516651664 35355535552 53033303328 70711071104 106066606656 212133213312