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11431100310 = 2357131941269
BaseRepresentation
bin10101010010101100…
…01011111110010110
31002111122122001200120
422221112023332112
5141402330202220
65130144052410
7553162515030
oct125126137626
932448561616
1011431100310
114936615943
122270304106
1311023379a6
147a624cc50
1546d847a40
hex2a958bf96

11431100310 has 64 divisors (see below), whose sum is σ = 31378406400. Its totient is φ = 2610778752.

The previous prime is 11431100299. The next prime is 11431100327. The reversal of 11431100310 is 1300113411.

It is a super-2 number, since 2×114311003102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11431100310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256356 + ... + 297624.

It is an arithmetic number, because the mean of its divisors is an integer number (490287600).

Almost surely, 211431100310 is an apocalyptic number.

11431100310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11431100310 is an abundant number, since it is smaller than the sum of its proper divisors (19947306090).

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

11431100310 is a wasteful number, since it uses less digits than its factorization.

11431100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42605.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11431100310 its reverse (1300113411), we get a palindrome (12731213721).

The spelling of 11431100310 in words is "eleven billion, four hundred thirty-one million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1319 2638 3957 6595 7914 9233 13190 18466 19785 27699 39570 41269 46165 55398 82538 92330 123807 138495 206345 247614 276990 288883 412690 577766 619035 866649 1238070 1444415 1733298 2888830 4333245 8666490 54433811 108867622 163301433 272169055 326602866 381036677 544338110 762073354 816507165 1143110031 1633014330 1905183385 2286220062 3810366770 5715550155 11431100310