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212243040312 = 233298310734337
BaseRepresentation
bin1100010110101010101…
…0111100100000111000
3202021211120201120110220
43011222222330200320
511434133204242222
6241300400540040
721222403035042
oct3055252744070
9667746646426
10212243040312
1182014732636
1235173921620
131702592a624
14a3b60c6a92
1557c3201b5c
hex316aabc838

212243040312 has 128 divisors (see below), whose sum is σ = 560725804800. Its totient is φ = 66852466688.

The previous prime is 212243040299. The next prime is 212243040313. The reversal of 212243040312 is 213040342212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212243040313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6164008 + ... + 6198344.

It is an arithmetic number, because the mean of its divisors is an integer number (4380670350).

Almost surely, 2212243040312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212243040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280362902400).

212243040312 is an abundant number, since it is smaller than the sum of its proper divisors (348482764488).

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

212243040312 is a wasteful number, since it uses less digits than its factorization.

212243040312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34565 (or 34561 counting only the distinct ones).

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

Adding to 212243040312 its reverse (213040342212), we get a palindrome (425283382524).

The spelling of 212243040312 in words is "two hundred twelve billion, two hundred forty-three million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 107 116 166 174 214 232 249 321 332 348 428 498 642 664 696 856 996 1284 1992 2407 2568 3103 4814 6206 7221 8881 9309 9628 12412 14442 17762 18618 19256 24824 26643 28884 34337 35524 37236 53286 57768 68674 71048 74472 103011 106572 137348 206022 213144 257549 274696 412044 515098 772647 824088 995773 1030196 1545294 1991546 2060392 2849971 2987319 3090588 3674059 3983092 5699942 5974638 6181176 7348118 7966184 8549913 11022177 11399884 11949276 14696236 17099826 22044354 22799768 23898552 29392472 34199652 44088708 68399304 82649159 88177416 106547711 165298318 213095422 247947477 304946897 319643133 330596636 426190844 495894954 609893794 639286266 661193272 852381688 914840691 991789908 1219787588 1278572532 1829681382 1983579816 2439575176 2557145064 3659362764 7318725528 8843460013 17686920026 26530380039 35373840052 53060760078 70747680104 106121520156 212243040312