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101110100101110 = 23254326126640853
BaseRepresentation
bin10110111111010110000111…
…100110011000011111110110
3111021000000211201111121001100
4112333112013212120133312
5101223041441111213420
6555013201100310530
730203651352254562
oct2677260746303766
9437000751447040
10101110100101110
112a242609632671
12b40b993b42446
1344558455891b9
141ad7a7d8586a2
15ba518bd03190
hex5bf5879987f6

101110100101110 has 48 divisors (see below), whose sum is σ = 268999894232784. Its totient is φ = 26335653978816.

The previous prime is 101110100101081. The next prime is 101110100101183. The reversal of 101110100101110 is 11101001011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110100101092 and 101110100101101.

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, 13063316557 + ... + 13063324296.

It is an arithmetic number, because the mean of its divisors is an integer number (5604164463183).

Almost surely, 2101110100101110 is an apocalyptic number.

101110100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110100101110 is an abundant number, since it is smaller than the sum of its proper divisors (167889794131674).

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

101110100101110 is a wasteful number, since it uses less digits than its factorization.

101110100101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26126640909 (or 26126640906 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110100101110 its reverse (11101001011101), we get a palindrome (112211101112211).

Subtracting from 101110100101110 its reverse (11101001011101), we obtain a palindrome (90009099090009).

The spelling of 101110100101110 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 26126640853 52253281706 78379922559 130633204265 156759845118 235139767677 261266408530 391899612795 470279535354 783799225590 1123445556679 1175698838385 2246891113358 2351397676770 3370336670037 5617227783395 6740673340074 10111010010111 11234455566790 16851683350185 20222020020222 33703366700370 50555050050555 101110100101110