Search a number
-
+
42331321110 = 23513219343261
BaseRepresentation
bin100111011011001001…
…001011001100010110
311001021010211220211210
4213123021023030112
51143143304233420
631240255042250
73026003202231
oct473311131426
9131233756753
1042331321110
1116a52a22101
128254810386
133cb8072b00
142098070418
15117b4e39e0
hex9db24b316

42331321110 has 96 divisors (see below), whose sum is σ = 110583901728. Its totient is φ = 10365788160.

The previous prime is 42331321051. The next prime is 42331321139. The reversal of 42331321110 is 1112313324.

42331321110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956880 + ... + 1000140.

It is an arithmetic number, because the mean of its divisors is an integer number (1151915643).

Almost surely, 242331321110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55291950864).

42331321110 is an abundant number, since it is smaller than the sum of its proper divisors (68252580618).

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

42331321110 is a wasteful number, since it uses less digits than its factorization.

42331321110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43490 (or 43477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 42331321110 its reverse (1112313324), we get a palindrome (43443634434).

The spelling of 42331321110 in words is "forty-two billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 193 195 338 386 390 507 579 845 965 1014 1158 1690 1930 2509 2535 2895 5018 5070 5790 7527 12545 15054 25090 32617 37635 43261 65234 75270 86522 97851 129783 163085 195702 216305 259566 326170 432610 489255 562393 648915 978510 1124786 1297830 1687179 2811965 3374358 5623930 7311109 8349373 8435895 14622218 16698746 16871790 21933327 25048119 36555545 41746865 43866654 50096238 73111090 83493730 108541849 109666635 125240595 217083698 219333270 250481190 325625547 542709245 651251094 1085418490 1411044037 1628127735 2822088074 3256255470 4233132111 7055220185 8466264222 14110440370 21165660555 42331321110