Search a number
-
+
32012201100 = 223521175112917
BaseRepresentation
bin11101110100000100…
…110110110010001100
310001121222121022100210
4131310010312302030
51011030110413400
622412312322420
72212202135235
oct356404666214
9101558538323
1032012201100
1112638064550
1262549a3410
133032221b39
14179979c08c
15c755eb950
hex774136c8c

32012201100 has 144 divisors (see below), whose sum is σ = 101184523776. Its totient is φ = 7749600000.

The previous prime is 32012201047. The next prime is 32012201147. The reversal of 32012201100 is 110221023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2471842 + ... + 2484758.

It is an arithmetic number, because the mean of its divisors is an integer number (702670304).

Almost surely, 232012201100 is an apocalyptic number.

32012201100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592261888).

32012201100 is an abundant number, since it is smaller than the sum of its proper divisors (69172322676).

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

32012201100 is a wasteful number, since it uses less digits than its factorization.

32012201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13696 (or 13689 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32012201100 its reverse (110221023), we get a palindrome (32122422123).

The spelling of 32012201100 in words is "thirty-two billion, twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 751 825 1100 1502 1650 2253 3004 3300 3755 4506 7510 8261 9012 11265 12917 15020 16522 18775 22530 24783 25834 33044 37550 38751 41305 45060 49566 51668 56325 64585 75100 77502 82610 99132 112650 123915 129170 142087 155004 165220 193755 206525 225300 247830 258340 284174 322925 387510 413050 426261 495660 568348 619575 645850 710435 775020 826100 852522 968775 1239150 1291700 1420870 1705044 1937550 2131305 2478300 2841740 3552175 3875100 4262610 7104350 8525220 9700667 10656525 14208700 19401334 21313050 29102001 38802668 42626100 48503335 58204002 97006670 106707337 116408004 145510005 194013340 213414674 242516675 291020010 320122011 426829348 485033350 533536685 582040020 640244022 727550025 970066700 1067073370 1280488044 1455100050 1600610055 2134146740 2667683425 2910200100 3201220110 5335366850 6402440220 8003050275 10670733700 16006100550 32012201100