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212033200302 = 232711152982107
BaseRepresentation
bin1100010101111000101…
…0011110000010101110
3202021021221212121002200
43011132022132002232
511433220444402202
6241223503202330
721214244315430
oct3053612360256
9667257777080
10212033200302
1181a17239740
12351155a63a6
1316cc1309541
14a3962a2650
1557aeaa1e1c
hex315e29e0ae

212033200302 has 48 divisors (see below), whose sum is σ = 572765012352. Its totient is φ = 55073558160.

The previous prime is 212033200279. The next prime is 212033200303. The reversal of 212033200302 is 203002330212.

It is a happy number.

212033200302 is a `hidden beast` number, since 21 + 20 + 3 + 320 + 0 + 302 = 666.

212033200302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033200303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76489668 + ... + 76492439.

It is an arithmetic number, because the mean of its divisors is an integer number (11932604424).

Almost surely, 2212033200302 is an apocalyptic number.

212033200302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212033200302 is an abundant number, since it is smaller than the sum of its proper divisors (360731812050).

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

212033200302 is a wasteful number, since it uses less digits than its factorization.

212033200302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152982133 (or 152982130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212033200302 its reverse (203002330212), we get a palindrome (415035530514).

The spelling of 212033200302 in words is "two hundred twelve billion, thirty-three million, two hundred thousand, three hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 152982107 305964214 458946321 917892642 1070874749 1376838963 1682803177 2141749498 2753677926 3212624247 3365606354 5048409531 6425248494 9637872741 10096819062 11779622239 15145228593 19275745482 23559244478 30290457186 35338866717 70677733434 106016600151 212033200302