Search a number
-
+
212133213300 = 223526779104309
BaseRepresentation
bin1100010110010000011…
…1111111010001110100
3202021112221001210010210
43011210013333101310
511433422100311200
6241241434545420
721216600363501
oct3054407772164
9667487053123
10212133213300
1181a68739a08
1235142b98270
1317008c55c28
14a3a56984a8
1557b875a650
hex31641ff474

212133213300 has 72 divisors (see below), whose sum is σ = 613868522400. Its totient is φ = 56559969920.

The previous prime is 212133213289. The next prime is 212133213323. The reversal of 212133213300 is 3312331212.

212133213300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981546 + ... + 2085854.

It is an arithmetic number, because the mean of its divisors is an integer number (8525951700).

Almost surely, 2212133213300 is an apocalyptic number.

212133213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133213300 is an abundant number, since it is smaller than the sum of its proper divisors (401735309100).

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

212133213300 is a wasteful number, since it uses less digits than its factorization.

212133213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111105 (or 111098 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212133213300 its reverse (3312331212), we get a palindrome (215445544512).

The spelling of 212133213300 in words is "two hundred twelve billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6779 13558 20337 27116 33895 40674 67790 81348 101685 104309 135580 169475 203370 208618 312927 338950 406740 417236 508425 521545 625854 677900 1016850 1043090 1251708 1564635 2033700 2086180 2607725 3129270 5215450 6258540 7823175 10430900 15646350 31292700 707110711 1414221422 2121332133 2828442844 3535553555 4242664266 7071107110 8485328532 10606660665 14142214220 17677767775 21213321330 35355535550 42426642660 53033303325 70711071100 106066606650 212133213300