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11431244500 = 2253132135281
BaseRepresentation
bin10101010010101101…
…01111001011010100
31002111122220101110221
422221112233023110
5141402344311000
65130151124124
7553163655304
oct125126571324
932448811427
1011431244500
114936704205
122270373644
131102388500
147a6289604
1546d87561a
hex2a95af2d4

11431244500 has 72 divisors (see below), whose sum is σ = 27034213752. Its totient is φ = 4220736000.

The previous prime is 11431244459. The next prime is 11431244501. The reversal of 11431244500 is 544213411.

It can be written as a sum of positive squares in 12 ways, for example, as 10047255696 + 1383988804 = 100236^2 + 37202^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431244501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16860 + ... + 152140.

It is an arithmetic number, because the mean of its divisors is an integer number (375475191).

Almost surely, 211431244500 is an apocalyptic number.

11431244500 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 11431244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517106876).

11431244500 is an abundant number, since it is smaller than the sum of its proper divisors (15602969252).

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

11431244500 is a wasteful number, since it uses less digits than its factorization.

11431244500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135326 (or 135301 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11431244500 its reverse (544213411), we get a palindrome (11975457911).

The spelling of 11431244500 in words is "eleven billion, four hundred thirty-one million, two hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1300 1625 1690 3250 3380 4225 6500 8450 16900 21125 42250 84500 135281 270562 541124 676405 1352810 1758653 2705620 3382025 3517306 6764050 7034612 8793265 13528100 16910125 17586530 22862489 33820250 35173060 43966325 45724978 67640500 87932650 91449956 114312445 175865300 219831625 228624890 439663250 457249780 571562225 879326500 1143124450 2286248900 2857811125 5715622250 11431244500