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3331103412340 = 22511531671710697
BaseRepresentation
bin110000011110010101001…
…111000101000001110100
3102210110011022202100202001
4300132111033011001310
5414034044433143330
611030142054425044
7462443563553044
oct60362517050164
912713138670661
103331103412340
111074793042030
1245970b962184
131b21774ca7c2
14b7324c2d724
155b9b28389ca
hex307953c5074

3331103412340 has 96 divisors (see below), whose sum is σ = 7821803937024. Its totient is φ = 1181338229760.

The previous prime is 3331103412317. The next prime is 3331103412431. The reversal of 3331103412340 is 432143011333.

It is a super-2 number, since 2×33311034123402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331103412299 and 3331103412308.

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 31 ways as a sum of consecutive naturals, for example, 1091872 + ... + 2802568.

It is an arithmetic number, because the mean of its divisors is an integer number (81477124344).

Almost surely, 23331103412340 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 3331103412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910901968512).

3331103412340 is an abundant number, since it is smaller than the sum of its proper divisors (4490700524684).

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

3331103412340 is a wasteful number, since it uses less digits than its factorization.

3331103412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710937 (or 1710935 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 3331103412340 its reverse (432143011333), we get a palindrome (3763246423673).

The spelling of 3331103412340 in words is "three trillion, three hundred thirty-one billion, one hundred three million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 167 212 220 265 334 530 583 668 835 1060 1166 1670 1837 2332 2915 3340 3674 5830 7348 8851 9185 11660 17702 18370 35404 36740 44255 88510 97361 177020 194722 389444 486805 973610 1710697 1947220 3421394 6842788 8553485 17106970 18817667 34213940 37635334 75270668 90666941 94088335 181333882 188176670 285686399 362667764 376353340 453334705 571372798 906669410 997336351 1142745596 1428431995 1813338820 1994672702 2856863990 3142550389 3989345404 4986681755 5713727980 6285100778 9973363510 12570201556 15141379147 15712751945 19946727020 30282758294 31425503890 60565516588 62851007780 75706895735 151413791470 166555170617 302827582940 333110341234 666220682468 832775853085 1665551706170 3331103412340