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2431330212012 = 22313172291859617
BaseRepresentation
bin100011011000010110100…
…100101101100010101100
322121102200120201220011120
4203120112210231202230
5304313331013241022
65100534312220540
7340441425546042
oct43302644554254
98542616656146
102431330212012
1185813757a189
1233325b69a750
13148372a200b0
1485969a04392
15433a01abd5c
hex2361692d8ac

2431330212012 has 144 divisors (see below), whose sum is σ = 6713816057760. Its totient is φ = 679816101888.

The previous prime is 2431330211951. The next prime is 2431330212013. The reversal of 2431330212012 is 2102120331342.

It is a super-2 number, since 2×24313302120122 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2431330212013) 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 47 ways as a sum of consecutive naturals, for example, 377628 + ... + 2237244.

Almost surely, 22431330212012 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 2431330212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356908028880).

2431330212012 is an abundant number, since it is smaller than the sum of its proper divisors (4282485845748).

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

2431330212012 is a wasteful number, since it uses less digits than its factorization.

2431330212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859700 (or 1859681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2431330212012 its reverse (2102120331342), we get a palindrome (4533450543354).

The spelling of 2431330212012 in words is "two trillion, four hundred thirty-one billion, three hundred thirty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 174 204 221 289 348 377 442 493 578 663 754 867 884 986 1131 1156 1326 1479 1508 1734 1972 2262 2652 2958 3468 3757 4524 5916 6409 7514 8381 11271 12818 15028 16762 19227 22542 25143 25636 33524 38454 45084 50286 76908 100572 108953 217906 326859 435812 653718 1307436 1859617 3719234 5578851 7438468 11157702 22315404 24175021 31613489 48350042 53928893 63226978 72525063 94840467 96700084 107857786 126453956 145050126 161786679 189680934 215715572 290100252 323573358 379361868 410975357 537429313 647146716 701075609 821950714 916791181 1074858626 1232926071 1402151218 1612287939 1643901428 1833582362 2103226827 2149717252 2465852142 2750373543 2804302436 3224575878 3667164724 4206453654 4931704284 5500747086 6449151756 6986581069 8412907308 11001494172 11918285353 13973162138 15585450077 20959743207 23836570706 27946324276 31170900154 35754856059 41919486414 46756350231 47673141412 62341800308 71509712118 83838972828 93512700462 143019424236 187025400924 202610851001 405221702002 607832553003 810443404004 1215665106006 2431330212012