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1114433400200 = 23526577784713
BaseRepresentation
bin10000001101111001011…
…010000010110110001000
310221112112210001110121112
4100031321122002312020
5121224324422301300
62211544051225452
7143341461414341
oct20157132026610
93845483043545
101114433400200
1139a6a066820a
1215bb995a8288
1381124121273
143bd2035b0c8
151dec7b93e35
hex10379682d88

1114433400200 has 48 divisors (see below), whose sum is σ = 2591127633780. Its totient is φ = 445761320960.

The previous prime is 1114433400193. The next prime is 1114433400209. The reversal of 1114433400200 is 20043344111.

It can be written as a sum of positive squares in 6 ways, for example, as 661980758884 + 452452641316 = 813622^2 + 672646^2 .

It is not an unprimeable number, because it can be changed into a prime (1114433400209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13113044 + ... + 13197756.

Almost surely, 21114433400200 is an apocalyptic number.

1114433400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114433400200 is an abundant number, since it is smaller than the sum of its proper divisors (1476694233580).

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

1114433400200 is a wasteful number, since it uses less digits than its factorization.

1114433400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150506 (or 150497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1114433400200 its reverse (20043344111), we get a palindrome (1134476744311).

The spelling of 1114433400200 in words is "one trillion, one hundred fourteen billion, four hundred thirty-three million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 65777 84713 131554 169426 263108 328885 338852 423565 526216 657770 677704 847130 1315540 1644425 1694260 2117825 2631080 3288850 3388520 4235650 6577700 8471300 13155400 16942600 5572167001 11144334002 22288668004 27860835005 44577336008 55721670010 111443340020 139304175025 222886680040 278608350050 557216700100 1114433400200