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11040013300 = 2252473836133
BaseRepresentation
bin10100100100000100…
…10011101111110100
31001111101201210011111
422102002103233310
5140102220411200
65023253444404
7540403364461
oct122202235764
931441653144
1011040013300
114755888438
122181340704
13106c2c7264
1476a328668
154493450ba
hex292093bf4

11040013300 has 72 divisors (see below), whose sum is σ = 24534429696. Its totient is φ = 4310060160.

The previous prime is 11040013267. The next prime is 11040013337. The reversal of 11040013300 is 331004011.

It is a congruent number.

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, 1797034 + ... + 1803166.

It is an arithmetic number, because the mean of its divisors is an integer number (340755968).

Almost surely, 211040013300 is an apocalyptic number.

11040013300 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 11040013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267214848).

11040013300 is an abundant number, since it is smaller than the sum of its proper divisors (13494416396).

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

11040013300 is a wasteful number, since it uses less digits than its factorization.

11040013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11040013300 its reverse (331004011), we get a palindrome (11371017311).

The spelling of 11040013300 in words is "eleven billion, forty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 383 470 766 940 1175 1532 1915 2350 3830 4700 6133 7660 9575 12266 18001 19150 24532 30665 36002 38300 61330 72004 90005 122660 153325 180010 288251 306650 360020 450025 576502 613300 900050 1153004 1441255 1800100 2348939 2882510 4697878 5765020 7206275 9395756 11744695 14412550 23489390 28825100 46978780 58723475 110400133 117446950 220800266 234893900 441600532 552000665 1104001330 2208002660 2760003325 5520006650 11040013300