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212132233300 = 225213163178641
BaseRepresentation
bin1100010110010000010…
…0010000000001010100
3202021112212012222211111
43011210010100001110
511433421322431200
6241241401544404
721216556142401
oct3054404200124
9667485188744
10212132233300
1181a6812a699
12351427a5104
13170089a1b50
14a3a54c12a8
1557b86150ba
hex3164110054

212132233300 has 36 divisors (see below), whose sum is σ = 495736714396. Its totient is φ = 78325747200.

The previous prime is 212132233249. The next prime is 212132233321. The reversal of 212132233300 is 3332231212.

It can be written as a sum of positive squares in 6 ways, for example, as 1087548484 + 211044684816 = 32978^2 + 459396^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 81588021 + ... + 81590620.

Almost surely, 2212132233300 is an apocalyptic number.

212132233300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132233300 is an abundant number, since it is smaller than the sum of its proper divisors (283604481096).

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

212132233300 is a wasteful number, since it uses less digits than its factorization.

212132233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163178668 (or 163178661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 212132233300 its reverse (3332231212), we get a palindrome (215464464512).

The spelling of 212132233300 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 163178641 326357282 652714564 815893205 1631786410 2121322333 3263572820 4079466025 4242644666 8158932050 8485289332 10606611665 16317864100 21213223330 42426446660 53033058325 106066116650 212132233300