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11414331300 = 22352131290441
BaseRepresentation
bin10101010000101100…
…01101111110100100
31002110111002002221010
422220112031332210
5141334032100200
65124344422220
7552600133551
oct125026157644
932414062833
1011414331300
114928102059
122266777970
1310cba160b8
147a3d25a28
1546c134150
hex2a858dfa4

11414331300 has 72 divisors (see below), whose sum is σ = 33277682592. Its totient is φ = 3020576000.

The previous prime is 11414331287. The next prime is 11414331307. The reversal of 11414331300 is 313341411.

11414331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11414331307) 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 23 ways as a sum of consecutive naturals, for example, 105921 + ... + 184520.

It is an arithmetic number, because the mean of its divisors is an integer number (462190036).

Almost surely, 211414331300 is an apocalyptic number.

11414331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414331300 is an abundant number, since it is smaller than the sum of its proper divisors (21863351292).

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

11414331300 is a wasteful number, since it uses less digits than its factorization.

11414331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290589 (or 290582 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11414331300 its reverse (313341411), we get a palindrome (11727672711).

The spelling of 11414331300 in words is "eleven billion, four hundred fourteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 39300 290441 580882 871323 1161764 1452205 1742646 2904410 3485292 4356615 5808820 7261025 8713230 14522050 17426460 21783075 29044100 38047771 43566150 76095542 87132300 114143313 152191084 190238855 228286626 380477710 456573252 570716565 760955420 951194275 1141433130 1902388550 2282866260 2853582825 3804777100 5707165650 11414331300