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11333421800 = 235261297157
BaseRepresentation
bin10101000111000011…
…00100101011101000
31002020211211110221222
422203201210223220
5141202323444200
65112334321212
7550565332031
oct124341445350
932224743858
1011333421800
11489646a5a8
122243659208
1310b8027a5c
147972a3a88
15464ea0d85
hex2a3864ae8

11333421800 has 144 divisors (see below), whose sum is σ = 27237826980. Its totient is φ = 4384972800.

The previous prime is 11333421793. The next prime is 11333421809. The reversal of 11333421800 is 812433311.

It can be written as a sum of positive squares in 18 ways, for example, as 6711869476 + 4621552324 = 81926^2 + 67982^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11333421800.

It is not an unprimeable number, because it can be changed into a prime (11333421809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72187322 + ... + 72187478.

Almost surely, 211333421800 is an apocalyptic number.

11333421800 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 11333421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618913490).

11333421800 is an abundant number, since it is smaller than the sum of its proper divisors (15904405180).

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

11333421800 is a wasteful number, since it uses less digits than its factorization.

11333421800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 11333421800 in words is "eleven billion, three hundred thirty-three million, four hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 97 100 122 157 194 200 244 305 314 388 485 488 610 628 776 785 970 1220 1256 1525 1570 1940 2425 2440 3050 3140 3721 3880 3925 4850 5917 6100 6280 7442 7850 9577 9700 11834 12200 14884 15229 15700 18605 19154 19400 23668 29585 29768 30458 31400 37210 38308 47336 47885 59170 60916 74420 76145 76616 93025 95770 118340 121832 147925 148840 152290 186050 191540 236680 239425 295850 304580 360937 372100 380725 383080 478850 584197 591700 609160 721874 744200 761450 928969 957700 1168394 1183400 1443748 1522900 1804685 1857938 1915400 2336788 2887496 2920985 3045800 3609370 3715876 4644845 4673576 5841970 7218740 7431752 9023425 9289690 11683940 14437480 14604925 18046850 18579380 23224225 23367880 29209850 36093700 37158760 46448450 56667109 58419700 72187400 92896900 113334218 116839400 185793800 226668436 283335545 453336872 566671090 1133342180 1416677725 2266684360 2833355450 5666710900 11333421800