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213318318312 = 233311731229869
BaseRepresentation
bin1100011010101011000…
…0110011100011101000
3202101121112001100121000
43012222300303203220
511443333442141222
6241555211515000
721261140534241
oct3065260634350
9671545040530
10213318318312
11825166a1940
1235413a58a60
13171676337b8
14a478c2bcc8
1558378029ac
hex31aac338e8

213318318312 has 128 divisors (see below), whose sum is σ = 655274736000. Its totient is φ = 63756357120.

The previous prime is 213318318253. The next prime is 213318318413. The reversal of 213318318312 is 213813813312.

It is a happy number.

213318318312 is a `hidden beast` number, since 2 + 1 + 331 + 8 + 3 + 1 + 8 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441487 + ... + 788382.

It is an arithmetic number, because the mean of its divisors is an integer number (5119333875).

Almost surely, 2213318318312 is an apocalyptic number.

213318318312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213318318312 is an abundant number, since it is smaller than the sum of its proper divisors (441956417688).

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

213318318312 is a wasteful number, since it uses less digits than its factorization.

213318318312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229968 (or 1229958 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 213318318312 in words is "two hundred thirteen billion, three hundred eighteen million, three hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 73 88 99 108 132 146 198 216 219 264 292 297 396 438 584 594 657 792 803 876 1188 1314 1606 1752 1971 2376 2409 2628 3212 3942 4818 5256 6424 7227 7884 9636 14454 15768 19272 21681 28908 43362 57816 86724 173448 1229869 2459738 3689607 4919476 7379214 9838952 11068821 13528559 14758428 22137642 27057118 29516856 33206463 40585677 44275284 54114236 66412926 81171354 88550568 89780437 108228472 121757031 132825852 162342708 179560874 243514062 265651704 269341311 324685416 359121748 365271093 487028124 538682622 718243496 730542186 808023933 974056248 987584807 1077365244 1461084372 1616047866 1975169614 2154730488 2424071799 2922168744 2962754421 3232095732 3950339228 4848143598 5925508842 6464191464 7900678456 8888263263 9696287196 11851017684 17776526526 19392574392 23702035368 26664789789 35553053052 53329579578 71106106104 106659159156 213318318312