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331201212312 = 2331511812112393
BaseRepresentation
bin1001101000111010010…
…00010110111110011000
31011122212222111211122010
410310131020112332120
520411300002243222
6412052435225520
732633321566035
oct4643510267630
91148788454563
10331201212312
111185094a4983
12542327482a0
1325303020c09
141205cd1438c
1589369b280c
hex4d1d216f98

331201212312 has 128 divisors (see below), whose sum is σ = 842415275520. Its totient is φ = 108501120000.

The previous prime is 331201212283. The next prime is 331201212317. The reversal of 331201212312 is 213212102133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331201212317) 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 31 ways as a sum of consecutive naturals, for example, 138402988 + ... + 138405380.

It is an arithmetic number, because the mean of its divisors is an integer number (6581369340).

Almost surely, 2331201212312 is an apocalyptic number.

It is an amenable number.

331201212312 is an abundant number, since it is smaller than the sum of its proper divisors (511214063208).

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

331201212312 is a wasteful number, since it uses less digits than its factorization.

331201212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331201212312 its reverse (213212102133), we get a palindrome (544413314445).

The spelling of 331201212312 in words is "three hundred thirty-one billion, two hundred one million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 151 181 211 302 362 422 453 543 604 633 724 844 906 1086 1208 1266 1448 1688 1812 2172 2393 2532 3624 4344 4786 5064 7179 9572 14358 19144 27331 28716 31861 38191 54662 57432 63722 76382 81993 95583 109324 114573 127444 152764 163986 191166 218648 229146 254888 305528 327972 361343 382332 433133 458292 504923 655944 722686 764664 866266 916584 1009846 1084029 1299399 1445372 1514769 1732532 2019692 2168058 2598798 2890744 3029538 3465064 4039384 4336116 5197596 5766841 6059076 8672232 10395192 11533682 12118152 17300523 23067364 34601046 46134728 65403083 69202092 76243373 91391063 130806166 138404184 152486746 182782126 196209249 228730119 261612332 274173189 304973492 365564252 392418498 457460238 523224664 548346378 609946984 731128504 784836996 914920476 1096692756 1569673992 1829840952 2193385512 13800050513 27600101026 41400151539 55200202052 82800303078 110400404104 165600606156 331201212312