Search a number
-
+
3131110330300 = 2252157283704713
BaseRepresentation
bin101101100100000100101…
…110000000111110111100
3102002022221110111010220101
4231210010232000332330
5402300003221032200
610354225012530444
7442133555451031
oct55440456007674
912068843433811
103131110330300
11aa7995176457
124269b6620a24
131993547613c4
14ab791a2d388
15566a9cce26a
hex2d904b80fbc

3131110330300 has 72 divisors (see below), whose sum is σ = 6861958073936. Its totient is φ = 1240067612160.

The previous prime is 3131110330289. The next prime is 3131110330331. The reversal of 3131110330300 is 30330111313.

It is a happy number.

It is a super-2 number, since 2×31311103303002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090744 + ... + 4795456.

Almost surely, 23131110330300 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 3131110330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430979036968).

3131110330300 is an abundant number, since it is smaller than the sum of its proper divisors (3730847743636).

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

3131110330300 is a wasteful number, since it uses less digits than its factorization.

3131110330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705167 (or 705160 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 3131110330300 its reverse (30330111313), we get a palindrome (3161440441613).

The spelling of 3131110330300 in words is "three trillion, one hundred thirty-one billion, one hundred ten million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 283 314 566 628 785 1132 1415 1570 2830 3140 3925 5660 7075 7850 14150 15700 28300 44431 88862 177724 222155 444310 704713 888620 1110775 1409426 2221550 2818852 3523565 4443100 7047130 14094260 17617825 35235650 70471300 110639941 199433779 221279882 398867558 442559764 553199705 797735116 997168895 1106399410 1994337790 2212798820 2765998525 3988675580 4985844475 5531997050 9971688950 11063994100 19943377900 31311103303 62622206606 125244413212 156555516515 313111033030 626222066060 782777582575 1565555165150 3131110330300