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11002301300 = 2252294997603
BaseRepresentation
bin10100011111100100…
…11100101101110100
31001101202202211000202
422033302130231310
5140013042120200
65015425300032
7536435006114
oct121762345564
931352684022
1011002301300
11473656a8a1
122170794618
131064551c73
1476530d044
15445d961d5
hex28fc9cb74

11002301300 has 72 divisors (see below), whose sum is σ = 24751020000. Its totient is φ = 4240091520.

The previous prime is 11002301273. The next prime is 11002301309. The reversal of 11002301300 is 310320011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002301309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443299 + ... + 1450901.

Almost surely, 211002301300 is an apocalyptic number.

11002301300 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 11002301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375510000).

11002301300 is an abundant number, since it is smaller than the sum of its proper divisors (13748718700).

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

11002301300 is a wasteful number, since it uses less digits than its factorization.

11002301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11002301300 its reverse (310320011), we get a palindrome (11312621311).

The spelling of 11002301300 in words is "eleven billion, two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 499 580 725 998 1450 1996 2495 2900 4990 7603 9980 12475 14471 15206 24950 28942 30412 38015 49900 57884 72355 76030 144710 152060 190075 220487 289420 361775 380150 440974 723550 760300 881948 1102435 1447100 2204870 3793897 4409740 5512175 7587794 11024350 15175588 18969485 22048700 37938970 75877940 94847425 110023013 189694850 220046026 379389700 440092052 550115065 1100230130 2200460260 2750575325 5501150650 11002301300