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212013202704 = 24319733184529
BaseRepresentation
bin1100010101110011111…
…0001011110100010000
3202021020120020121112220
43011130332023310100
511433200334441304
6241221510421040
721213612326412
oct3053476136420
9667216217486
10212013202704
1181a06a201a6
123510a961780
1316cba127244
14a3937789b2
1557ace51ad9
hex315cf8bd10

212013202704 has 80 divisors (see below), whose sum is σ = 584424945600. Its totient is φ = 66034372608.

The previous prime is 212013202703. The next prime is 212013202711. The reversal of 212013202704 is 407202310212.

212013202704 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 (24).

It is not an unprimeable number, because it can be changed into a prime (212013202703) 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 15 ways as a sum of consecutive naturals, for example, 1525689 + ... + 1658840.

It is an arithmetic number, because the mean of its divisors is an integer number (7305311820).

Almost surely, 2212013202704 is an apocalyptic number.

212013202704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212013202704 is an abundant number, since it is smaller than the sum of its proper divisors (372411742896).

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

212013202704 is a wasteful number, since it uses less digits than its factorization.

212013202704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184632 (or 3184626 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 212013202704 its reverse (407202310212), we get a palindrome (619215512916).

The spelling of 212013202704 in words is "two hundred twelve billion, thirteen million, two hundred two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 876 912 1168 1387 1752 2774 3504 4161 5548 8322 11096 16644 22192 33288 66576 3184529 6369058 9553587 12738116 19107174 25476232 38214348 50952464 60506051 76428696 121012102 152857392 181518153 232470617 242024204 363036306 464941234 484048408 697411851 726072612 929882468 968096816 1394823702 1452145224 1859764936 2789647404 2904290448 3719529872 4416941723 5579294808 8833883446 11158589616 13250825169 17667766892 26501650338 35335533784 53003300676 70671067568 106006601352 212013202704