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11431027010600 = 235257155135053
BaseRepresentation
bin1010011001010111111001…
…0011011110110000101000
31111110210110221000111100222
42212111332103132300220
52444241220403314400
640151201420145212
72256602335262231
oct246257623366050
944423427014328
1011431027010600
11370796481762a
1213474ab998208
1364bc30b30a62
142b739c322088
1514c531e46185
hexa657e4dec28

11431027010600 has 24 divisors (see below), whose sum is σ = 26577137800110. Its totient is φ = 4572410804160.

The previous prime is 11431027010573. The next prime is 11431027010603. The reversal of 11431027010600 is 601072013411.

It can be written as a sum of positive squares in 3 ways, for example, as 10479321403684 + 951705606916 = 3237178^2 + 975554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11431027010600.

It is not an unprimeable number, because it can be changed into a prime (11431027010603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28577567327 + ... + 28577567726.

Almost surely, 211431027010600 is an apocalyptic number.

11431027010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11431027010600 is an abundant number, since it is smaller than the sum of its proper divisors (15146110789510).

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

11431027010600 is a wasteful number, since it uses less digits than its factorization.

11431027010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57155135069 (or 57155135060 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 11431027010600 in words is "eleven trillion, four hundred thirty-one billion, twenty-seven million, ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 57155135053 114310270106 228620540212 285775675265 457241080424 571551350530 1143102701060 1428878376325 2286205402120 2857756752650 5715513505300 11431027010600