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1231200100 = 2252131019377
BaseRepresentation
bin100100101100010…
…1001111101100100
310011210201110000201
41021120221331210
510010141400400
6322100520244
742340012444
oct11130517544
93153643021
101231200100
11581a86949
122a43b0084
131680c9790
14b9732124
157315006a
hex49629f64

1231200100 has 72 divisors (see below), whose sum is σ = 2906017128. Its totient is φ = 450048000.

The previous prime is 1231200083. The next prime is 1231200119. The reversal of 1231200100 is 10021321.

It can be written as a sum of positive squares in 12 ways, for example, as 463799296 + 767400804 = 21536^2 + 27702^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 126612 + ... + 135988.

It is an arithmetic number, because the mean of its divisors is an integer number (40361349).

Almost surely, 21231200100 is an apocalyptic number.

1231200100 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 1231200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453008564).

1231200100 is an abundant number, since it is smaller than the sum of its proper divisors (1674817028).

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

1231200100 is a wasteful number, since it uses less digits than its factorization.

1231200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1231200100 is about 35088.4610662822. The cubic root of 1231200100 is about 1071.7896216423.

Adding to 1231200100 its reverse (10021321), we get a palindrome (1241221421).

The spelling of 1231200100 in words is "one billion, two hundred thirty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 2020 2525 2626 5050 5252 6565 9377 10100 13130 18754 26260 32825 37508 46885 65650 93770 121901 131300 187540 234425 243802 468850 487604 609505 937700 947077 1219010 1894154 2438020 3047525 3788308 4735385 6095050 9470770 12190100 12312001 18941540 23676925 24624002 47353850 49248004 61560005 94707700 123120010 246240020 307800025 615600050 1231200100