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213040313304 = 233721313935133
BaseRepresentation
bin1100011001101000110…
…0010011001111011000
3202100220010221020102020
43012122030103033120
511442301310011204
6241511441134440
721251223533100
oct3063214231730
9670803836366
10213040313304
1182393780635
123535692a420
1317121b671b0
14a44dd42200
15581d1dabd9
hex319a3133d8

213040313304 has 96 divisors (see below), whose sum is σ = 667214215920. Its totient is φ = 56186452224.

The previous prime is 213040313263. The next prime is 213040313377. The reversal of 213040313304 is 403313040312.

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

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, 6952279 + ... + 6982854.

Almost surely, 2213040313304 is an apocalyptic number.

213040313304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213040313304 is an abundant number, since it is smaller than the sum of its proper divisors (454173902616).

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

213040313304 is a wasteful number, since it uses less digits than its factorization.

213040313304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935169 (or 13935158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213040313304 its reverse (403313040312), we get a palindrome (616353353616).

The spelling of 213040313304 in words is "two hundred thirteen billion, forty million, three hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 13935133 27870266 41805399 55740532 83610798 97545931 111481064 167221596 181156729 195091862 292637793 334443192 362313458 390183724 543470187 585275586 682821517 724626916 780367448 1086940374 1170551172 1268097103 1365643034 1449253832 2048464551 2173880748 2341102344 2536194206 2731286068 3804291309 4096929102 4347761496 5072388412 5462572136 7608582618 8193858204 8876679721 10144776824 15217165236 16387716408 17753359442 26630039163 30434330472 35506718884 53260078326 71013437768 106520156652 213040313304