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212134133000 = 2353212134133
BaseRepresentation
bin1100010110010000101…
…1011111110100001000
3202021112222210111201202
43011210023133310020
511433422314224000
6241241510403332
721216611244026
oct3054413376410
9667488714652
10212134133000
1181a69207999
1235143360548
13170091b872a
14a3a5857716
1557b888cdd5
hex31642dfd08

212134133000 has 32 divisors (see below), whose sum is σ = 496393873560. Its totient is φ = 84853652800.

The previous prime is 212134132993. The next prime is 212134133009. The reversal of 212134133000 is 331431212.

It can be written as a sum of positive squares in 4 ways, for example, as 18247146724 + 193886986276 = 135082^2 + 440326^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212134133009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106066067 + ... + 106068066.

Almost surely, 2212134133000 is an apocalyptic number.

212134133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134133000 is an abundant number, since it is smaller than the sum of its proper divisors (284259740560).

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

212134133000 is a wasteful number, since it uses less digits than its factorization.

212134133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212134154 (or 212134140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212134133000 its reverse (331431212), we get a palindrome (212465564212).

The spelling of 212134133000 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 212134133 424268266 848536532 1060670665 1697073064 2121341330 4242682660 5303353325 8485365320 10606706650 21213413300 26516766625 42426826600 53033533250 106067066500 212134133000