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213004314024 = 23331377737733
BaseRepresentation
bin1100011001100000001…
…0111110010110101000
3202100210122012021200120
43012120002332112220
511442213101022044
6241504113403240
721250305536655
oct3063002762650
9670718167616
10213004314024
1182375422867
1235346869520
1317117571648
14a449250c2c
155819e79519
hex31980be5a8

213004314024 has 64 divisors (see below), whose sum is σ = 564545072640. Its totient is φ = 66854004480.

The previous prime is 213004313999. The next prime is 213004314067. The reversal of 213004314024 is 420413400312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213004313985 and 213004314003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3841339 + ... + 3896394.

It is an arithmetic number, because the mean of its divisors is an integer number (8821016760).

Almost surely, 2213004314024 is an apocalyptic number.

213004314024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213004314024 is an abundant number, since it is smaller than the sum of its proper divisors (351540758616).

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

213004314024 is a wasteful number, since it uses less digits than its factorization.

213004314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737810 (or 7737806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213004314024 its reverse (420413400312), we get a palindrome (633417714336).

The spelling of 213004314024 in words is "two hundred thirteen billion, four million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3441 4588 6882 9176 13764 27528 7737733 15475466 23213199 30950932 46426398 61901864 92852796 185705592 239869723 286296121 479739446 572592242 719609169 858888363 959478892 1145184484 1439218338 1717776726 1918957784 2290368968 2878436676 3435553452 5756873352 6871106904 8875179751 17750359502 26625539253 35500719004 53251078506 71001438008 106502157012 213004314024