Search a number
-
+
331131132010230 = 23559249727749137
BaseRepresentation
bin100101101001010010111100…
…1011111110101111011110110
31121102102211022221002002112220
41023102211321133311323312
5321400223024243311410
63132131313024023210
7126514302065466126
oct11322457137657366
91542384287062486
10331131132010230
1196565a194a3642
123117b522161b06
131129c6bb392056
145baab91ba6c86
1528437322bd070
hex12d29797f5ef6

331131132010230 has 64 divisors (see below), whose sum is σ = 808188772884480. Its totient is φ = 86804533845504.

The previous prime is 331131132010229. The next prime is 331131132010243. The reversal of 331131132010230 is 32010231131133.

It is a self number, because there is not a number n which added to its sum of digits gives 331131132010230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441642222 + ... + 442391358.

It is an arithmetic number, because the mean of its divisors is an integer number (12627949576320).

Almost surely, 2331131132010230 is an apocalyptic number.

331131132010230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331131132010230 is an abundant number, since it is smaller than the sum of its proper divisors (477057640874250).

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

331131132010230 is a wasteful number, since it uses less digits than its factorization.

331131132010230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998933.

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

Adding to 331131132010230 its reverse (32010231131133), we get a palindrome (363141363141363).

The spelling of 331131132010230 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-two million, ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 249727 499454 749137 749181 1248635 1498274 1498362 2247411 2497270 3745685 3745905 4494822 7491370 7491810 11237055 14733893 22474110 29467786 44199083 44201679 73669465 88398166 88403358 132597249 147338930 220995415 221008395 265194498 441990830 442016790 662986245 1325972490 187079735599 374159471198 561239206797 935398677995 1122478413594 1870797355990 2806196033985 5612392067970 11037704400341 22075408800682 33113113201023 55188522001705 66226226402046 110377044003410 165565566005115 331131132010230