Search a number
-
+
11002101332200 = 23521119332587147
BaseRepresentation
bin1010000000011010000001…
…0101110111100011101000
31102221210100100200102011221
42200012200111313203220
52420224300420112300
635222143502231424
72213606220206266
oct240064025674350
942853310612157
1011002101332200
113561a684179a0
121298345585574
1361a65588a3a4
142a070c68b436
151412cadd631a
hexa01a05778e8

11002101332200 has 96 divisors (see below), whose sum is σ = 27919776814560. Its totient is φ = 3998692857600.

The previous prime is 11002101332179. The next prime is 11002101332227. The reversal of 11002101332200 is 223310120011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2959027 + ... + 5546173.

It is an arithmetic number, because the mean of its divisors is an integer number (290831008485).

Almost surely, 211002101332200 is an apocalyptic number.

11002101332200 is a gapful number since it is divisible by the number (10) 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 11002101332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959888407280).

11002101332200 is an abundant number, since it is smaller than the sum of its proper divisors (16917675482360).

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

11002101332200 is a wasteful number, since it uses less digits than its factorization.

11002101332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589107 (or 2589098 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11002101332200 its reverse (223310120011), we get a palindrome (11225411452211).

The spelling of 11002101332200 in words is "eleven trillion, two billion, one hundred one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1933 2200 3866 7732 9665 15464 19330 21263 38660 42526 48325 77320 85052 96650 106315 170104 193300 212630 386600 425260 531575 850520 1063150 2126300 2587147 4252600 5174294 10348588 12935735 20697176 25871470 28458617 51742940 56917234 64678675 103485880 113834468 129357350 142293085 227668936 258714700 284586170 517429400 569172340 711465425 1138344680 1422930850 2845861700 5000955151 5691723400 10001910302 20003820604 25004775755 40007641208 50009551510 55010506661 100019103020 110021013322 125023878775 200038206040 220042026644 250047757550 275052533305 440084053288 500095515100 550105066610 1000191030200 1100210133220 1375262666525 2200420266440 2750525333050 5501050666100 11002101332200