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10111300000 = 2555101113
BaseRepresentation
bin10010110101010111…
…00011000110100000
3222002200012021000121
421122223203012200
5131201443100000
64351200130024
7505365426514
oct113253430640
928080167017
1010111300000
11431962438a
121b62306914
13c51a89469
146bcc56144
153e2a45b1a
hex25aae31a0

10111300000 has 72 divisors (see below), whose sum is σ = 24881930892. Its totient is φ = 4044480000.

The previous prime is 10111299959. The next prime is 10111300013. The reversal of 10111300000 is 311101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4114965904 + 5996334096 = 64148^2 + 77436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49444 + ... + 150556.

Almost surely, 210111300000 is an apocalyptic number.

10111300000 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 10111300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440965446).

10111300000 is an abundant number, since it is smaller than the sum of its proper divisors (14770630892).

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

10111300000 is an frugal number, since it uses more digits than its factorization.

10111300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101148 (or 101120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10111300000 its reverse (311101), we get a palindrome (10111611101).

The spelling of 10111300000 in words is "ten billion, one hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 101113 202226 404452 505565 808904 1011130 1617808 2022260 2527825 3235616 4044520 5055650 8089040 10111300 12639125 16178080 20222600 25278250 40445200 50556500 63195625 80890400 101113000 126391250 202226000 252782500 315978125 404452000 505565000 631956250 1011130000 1263912500 2022260000 2527825000 5055650000 10111300000