Search a number
-
+
3114310133310 = 2354710912024501
BaseRepresentation
bin101101010100011011010…
…110010110011000111110
3102000201120121221201012020
4231110123112112120332
5402011101343231220
610342405550221010
7441000336233625
oct55243326263076
912021517851166
103114310133310
11aa0853975832
124236a81b4766
131978a7c8673c
14aaa3a6c06bc
1556024e23040
hex2d51b59663e

3114310133310 has 64 divisors (see below), whose sum is σ = 7640373371904. Its totient is φ = 812067440000.

The previous prime is 3114310133261. The next prime is 3114310133317. The reversal of 3114310133310 is 133310134113.

It is a super-2 number, since 2×31143101333102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114310133317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526060 + ... + 2550560.

It is an arithmetic number, because the mean of its divisors is an integer number (119380833936).

Almost surely, 23114310133310 is an apocalyptic number.

3114310133310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114310133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820186685952).

3114310133310 is an abundant number, since it is smaller than the sum of its proper divisors (4526063238594).

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

3114310133310 is a wasteful number, since it uses less digits than its factorization.

3114310133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025649.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3114310133310 its reverse (133310134113), we get a palindrome (3247620267423).

The spelling of 3114310133310 in words is "three trillion, one hundred fourteen billion, three hundred ten million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1091 1410 2182 3273 5455 6546 10910 16365 32730 51277 102554 153831 256385 307662 512770 769155 1538310 2024501 4049002 6073503 10122505 12147006 20245010 30367515 60735030 95151547 190303094 285454641 475757735 570909282 951515470 1427273205 2208730591 2854546410 4417461182 6626191773 11043652955 13252383546 22087305910 33130958865 66261917730 103810337777 207620675554 311431013331 519051688885 622862026662 1038103377770 1557155066655 3114310133310