Search a number
-
+
99101122780 = 225111738772969
BaseRepresentation
bin101110001001011100…
…0110010000011011100
3100110210112020122111211
41130102320302003130
53110424341412110
6113305412554204
710105550434132
oct1342270620334
9313715218454
1099101122780
1139035000370
1217258922964
13946451a12a
144b21917752
1528a038098a
hex1712e320dc

99101122780 has 96 divisors (see below), whose sum is σ = 228681351360. Its totient is φ = 35775559680.

The previous prime is 99101122763. The next prime is 99101122789. The reversal of 99101122780 is 8722110199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99101122789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33377136 + ... + 33380104.

It is an arithmetic number, because the mean of its divisors is an integer number (2382097410).

Almost surely, 299101122780 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 99101122780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114340675680).

99101122780 is an abundant number, since it is smaller than the sum of its proper divisors (129580228580).

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

99101122780 is a wasteful number, since it uses less digits than its factorization.

99101122780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 40.

The spelling of 99101122780 in words is "ninety-nine billion, one hundred one million, one hundred twenty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 877 1730 1754 1903 2969 3460 3508 3806 4385 5938 7612 8770 9515 9647 11876 14845 17540 19030 19294 29690 32659 38060 38588 48235 59380 65318 96470 130636 151721 163295 192940 303442 326590 513637 606884 653180 758605 1027274 1517210 1668931 2054548 2568185 2603813 3034420 3337862 5136370 5207626 5650007 6675724 8344655 10272740 10415252 11300014 13019065 16689310 22600028 26038130 28250035 28641943 33378620 52076260 56500070 57283886 113000140 114567772 143209715 286419430 450459649 572838860 900919298 1801838596 2252298245 4504596490 4955056139 9009192980 9910112278 19820224556 24775280695 49550561390 99101122780