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1312233342 = 2373761109127
BaseRepresentation
bin100111000110111…
…0001011101111110
310101110012100201220
41032031301131332
510141412431332
6334113414210
744342541120
oct11615613576
93343170656
101312233342
116137a3372
1230756a366
1317bb2c244
14c63c7210
157a309d2c
hex4e37177e

1312233342 has 128 divisors (see below), whose sum is σ = 3184558080. Its totient is φ = 352719360.

The previous prime is 1312233323. The next prime is 1312233359. The reversal of 1312233342 is 2433322131.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10332483 + ... + 10332609.

It is an arithmetic number, because the mean of its divisors is an integer number (24879360).

Almost surely, 21312233342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312233342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592279040).

1312233342 is an abundant number, since it is smaller than the sum of its proper divisors (1872324738).

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

1312233342 is a wasteful number, since it uses less digits than its factorization.

1312233342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its digits is 2592, while the sum is 24.

The square root of 1312233342 is about 36224.7614484899. The cubic root of 1312233342 is about 1094.8056317712.

Adding to 1312233342 its reverse (2433322131), we get a palindrome (3745555473).

It can be divided in two parts, 13122 and 33342, that added together give a palindrome (46464).

The spelling of 1312233342 in words is "one billion, three hundred twelve million, two hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 61 74 109 111 122 127 183 218 222 254 259 327 366 381 427 518 654 762 763 777 854 889 1281 1526 1554 1778 2257 2289 2562 2667 4033 4514 4578 4699 5334 6649 6771 7747 8066 9398 12099 13298 13542 13843 14097 15494 15799 19947 23241 24198 27686 28194 28231 31598 32893 39894 41529 46482 46543 47397 54229 56462 65786 83058 84693 93086 94794 96901 98679 108458 139629 162687 169386 193802 197358 246013 279258 286639 290703 325374 492026 512191 573278 581406 738039 844423 859917 1024382 1476078 1536573 1688846 1719834 1722091 2006473 2533269 3073146 3444182 3585337 4012946 5066538 5166273 5910961 6019419 7170674 10332546 10756011 11821922 12038838 17732883 21512022 31243651 35465766 62487302 93730953 187461906 218705557 437411114 656116671 1312233342