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100312043310414 = 23213827518360273
BaseRepresentation
bin10110110011101110110111…
…101101010100110101001110
3111011011201220202212010002200
4112303232313231110311032
5101122003031041413124
6553202414433502330
730062206642415025
oct2663566755246516
9434151822763080
10100312043310414
1129a6510a356881
12b3011904119a6
1343c8501091920
141aab1b36078bc
15b8e52e406bc9
hex5b3bb7b54d4e

100312043310414 has 48 divisors (see below), whose sum is σ = 234344459552112. Its totient is φ = 30827922096384.

The previous prime is 100312043310389. The next prime is 100312043310431. The reversal of 100312043310414 is 414013340213001.

100312043310414 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 204 + 33 + 10 + 414 = 666.

It is a super-2 number, since 2×1003120433104142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258986619 + ... + 259373654.

It is an arithmetic number, because the mean of its divisors is an integer number (4882176240669).

Almost surely, 2100312043310414 is an apocalyptic number.

100312043310414 is an abundant number, since it is smaller than the sum of its proper divisors (134032416241698).

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

100312043310414 is a wasteful number, since it uses less digits than its factorization.

100312043310414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518361121 (or 518361118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100312043310414 its reverse (414013340213001), we get a palindrome (514325383523415).

The spelling of 100312043310414 in words is "one hundred trillion, three hundred twelve billion, forty-three million, three hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 827 1654 2481 4962 7443 10751 14886 21502 32253 64506 96759 193518 518360273 1036720546 1555080819 3110161638 4665242457 6738683549 9330484914 13477367098 20216050647 40432101294 60648151941 121296303882 428683945771 857367891542 1286051837313 2572103674626 3858155511939 5572891295023 7716311023878 11145782590046 16718673885069 33437347770138 50156021655207 100312043310414