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2402013133212 = 2237211632358733
BaseRepresentation
bin100010111101000011001…
…000111011100110011100
322111122000102110222120020
4202331003020323212130
5303323310330230322
65035245233352140
7335353060520100
oct42750310734634
98448012428506
102402013133212
1184676287aa40
12329639408650
1314567cc977a4
1484388169900
15427364d005c
hex22f4323b99c

2402013133212 has 144 divisors (see below), whose sum is σ = 7113700444032. Its totient is φ = 623790222720.

The previous prime is 2402013133187. The next prime is 2402013133249. The reversal of 2402013133212 is 2123313102042.

2402013133212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40867798 + ... + 40926530.

It is an arithmetic number, because the mean of its divisors is an integer number (49400697528).

Almost surely, 22402013133212 is an apocalyptic number.

2402013133212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402013133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556850222016).

2402013133212 is an abundant number, since it is smaller than the sum of its proper divisors (4711687310820).

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

2402013133212 is a wasteful number, since it uses less digits than its factorization.

2402013133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65088 (or 65079 counting only the distinct ones).

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

Adding to 2402013133212 its reverse (2123313102042), we get a palindrome (4525326235254).

The spelling of 2402013133212 in words is "two trillion, four hundred two billion, thirteen million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6323 6468 12646 18969 25292 37938 44261 58733 69553 75876 88522 117466 132783 139106 176199 177044 208659 234932 265566 278212 309827 352398 411131 417318 486871 531132 619654 646063 704796 822262 834636 929481 973742 1233393 1239308 1292126 1460613 1644524 1858962 1938189 1947484 2466786 2584252 2877917 2921226 3408097 3717924 3876378 4522441 4933572 5755834 5842452 6816194 7752756 8633751 9044882 10224291 11511668 13567323 13632388 17267502 18089764 20448582 27134646 31657087 34535004 40897164 54269292 63314174 94971261 126628348 189942522 371368759 379885044 742737518 1114106277 1485475036 2228212554 2599581313 4085056349 4456425108 5199162626 7798743939 8170112698 10398325252 12255169047 15597487878 16340225396 18197069191 24510338094 28595394443 31194975756 36394138382 49020676188 54591207573 57190788886 72788276764 85786183329 109182415146 114381577772 171572366658 200167761101 218364830292 343144733316 400335522202 600503283303 800671044404 1201006566606 2402013133212