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11120201300 = 22521366112941
BaseRepresentation
bin10100101101101000…
…01100111001010100
31001200222121202102102
422112310030321110
5140233232420200
65035240301232
7542366102645
oct122664147124
931628552372
1011120201300
11479707790a
1221a4171818
131082ac2090
14776c3d6cc
154513d46d5
hex296d0ce54

11120201300 has 72 divisors (see below), whose sum is σ = 26028380952. Its totient is φ = 4099392000.

The previous prime is 11120201291. The next prime is 11120201327. The reversal of 11120201300 is 310202111.

It can be written as a sum of positive squares in 12 ways, for example, as 1998805264 + 9121396036 = 44708^2 + 95506^2 .

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, 852830 + ... + 865770.

It is an arithmetic number, because the mean of its divisors is an integer number (361505291).

Almost surely, 211120201300 is an apocalyptic number.

11120201300 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 11120201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014190476).

11120201300 is an abundant number, since it is smaller than the sum of its proper divisors (14908179652).

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

11120201300 is a wasteful number, since it uses less digits than its factorization.

11120201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13629 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11120201300 its reverse (310202111), we get a palindrome (11430403411).

The spelling of 11120201300 in words is "eleven billion, one hundred twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 661 1300 1322 2644 3305 6610 8593 12941 13220 16525 17186 25882 33050 34372 42965 51764 64705 66100 85930 129410 168233 171860 214825 258820 323525 336466 429650 647050 672932 841165 859300 1294100 1682330 3364660 4205825 8411650 8554001 16823300 17108002 34216004 42770005 85540010 111202013 171080020 213850025 222404026 427700050 444808052 556010065 855400100 1112020130 2224040260 2780050325 5560100650 11120201300