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11242294800 = 2435211851689
BaseRepresentation
bin10100111100001011…
…11100111000010000
31002000111100202012220
422132011330320100
5141011011413200
65055321221040
7545410633452
oct123605747020
932014322186
1011242294800
114849a89530
122219031780
1310a219cb59
147891422d2
1545bea04a0
hex29e17ce10

11242294800 has 120 divisors (see below), whose sum is σ = 39286756320. Its totient is φ = 2725401600.

The previous prime is 11242294793. The next prime is 11242294823. The reversal of 11242294800 is 849224211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 412645 + ... + 439044.

It is an arithmetic number, because the mean of its divisors is an integer number (327389636).

Almost surely, 211242294800 is an apocalyptic number.

11242294800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242294800 is an abundant number, since it is smaller than the sum of its proper divisors (28044461520).

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

11242294800 is a wasteful number, since it uses less digits than its factorization.

11242294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851721 (or 851710 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 11242294800 in words is "eleven billion, two hundred forty-two million, two hundred ninety-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 851689 1703378 2555067 3406756 4258445 5110134 6813512 8516890 9368579 10220268 12775335 13627024 17033780 18737158 20440536 21292225 25550670 28105737 34067560 37474316 40881072 42584450 46842895 51101340 56211474 63876675 68135120 74948632 85168900 93685790 102202680 112422948 127753350 140528685 149897264 170337800 187371580 204405360 224845896 234214475 255506700 281057370 340675600 374743160 449691792 468428950 511013400 562114740 702643425 749486320 936857900 1022026800 1124229480 1405286850 1873715800 2248458960 2810573700 3747431600 5621147400 11242294800