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11434310300 = 2252731915119
BaseRepresentation
bin10101010011000100…
…11011101010011100
31002111212200010222002
422221202123222130
5141404140412200
65130340541432
7553232014430
oct125142335234
932455603862
1011434310300
114938408626
1222713b1878
131102bbcaaa
147a68469c0
1546dc7dbd5
hex2a989ba9c

11434310300 has 72 divisors (see below), whose sum is σ = 28371517440. Its totient is φ = 3918340800.

The previous prime is 11434310203. The next prime is 11434310339. The reversal of 11434310300 is 301343411.

11434310300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 2231141 + ... + 2236259.

Almost surely, 211434310300 is an apocalyptic number.

11434310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434310300 is an abundant number, since it is smaller than the sum of its proper divisors (16937207140).

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

11434310300 is a wasteful number, since it uses less digits than its factorization.

11434310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11434310300 its reverse (301343411), we get a palindrome (11735653711).

The spelling of 11434310300 in words is "eleven billion, four hundred thirty-four million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3191 5119 6382 10238 12764 15955 20476 22337 25595 31910 35833 44674 51190 63820 71666 79775 89348 102380 111685 127975 143332 159550 179165 223370 255950 319100 358330 446740 511900 558425 716660 895825 1116850 1791650 2233700 3583300 16334729 32669458 65338916 81673645 114343103 163347290 228686206 326694580 408368225 457372412 571715515 816736450 1143431030 1633472900 2286862060 2858577575 5717155150 11434310300