Search a number
-
+
3131213113230 = 2351943208361331
BaseRepresentation
bin101101100100001010110…
…110000110011110001110
3102002100012121220001120120
4231210022312012132032
5402300211024110410
610354243123525410
7442136244213516
oct55441266063616
912070177801516
103131213113230
11aa7a38198824
12426a24b29866
1319936cb3a7c7
14ab7a1546846
15566b3d33570
hex2d90ad8678e

3131213113230 has 128 divisors (see below), whose sum is σ = 8098414663680. Its totient is φ = 772263434880.

The previous prime is 3131213113201. The next prime is 3131213113277. The reversal of 3131213113230 is 323113121313.

3131213113230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3131213113230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51023665 + ... + 51084995.

It is an arithmetic number, because the mean of its divisors is an integer number (63268864560).

Almost surely, 23131213113230 is an apocalyptic number.

3131213113230 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 3131213113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049207331840).

3131213113230 is an abundant number, since it is smaller than the sum of its proper divisors (4967201550450).

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

3131213113230 is a wasteful number, since it uses less digits than its factorization.

3131213113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63486.

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

Adding to 3131213113230 its reverse (323113121313), we get a palindrome (3454326234543).

The spelling of 3131213113230 in words is "three trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2083 2451 4085 4166 4902 6249 8170 10415 12255 12498 20830 24510 31245 39577 61331 62490 79154 89569 118731 122662 179138 183993 197885 237462 268707 306655 367986 395770 447845 537414 593655 613310 895690 919965 1165289 1187310 1343535 1701811 1839930 2330578 2637233 2687070 3403622 3495867 5105433 5274466 5826445 6991734 7911699 8509055 10210866 11652890 13186165 15823398 17018110 17479335 25527165 26372330 34958670 39558495 50107427 51054330 79116990 100214854 127752473 150322281 250537135 255504946 300644562 383257419 501074270 638762365 751611405 766514838 1277524730 1503222810 1916287095 2427296987 3832574190 4854593974 5493356339 7281890961 10986712678 12136484935 14563781922 16480069017 24272969870 27466781695 32960138034 36409454805 54933563390 72818909610 82400345085 104373770441 164800690170 208747540882 313121311323 521868852205 626242622646 1043737704410 1565606556615 3131213113230