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101001100101110 = 251119121031228581
BaseRepresentation
bin10110111101110000100110…
…101100011000010111110110
3111020121121111022202212210022
4112331300212230120113312
5101214300223111213420
6554451133112125142
730163042262455166
oct2675604654302766
9436547438685708
10101001100101110
112a200364a06340
12b3b28340967b2
1344484942c9491
141ad269d3c25a6
15ba240c8dbc25
hex5bdc26b185f6

101001100101110 has 64 divisors (see below), whose sum is σ = 199378158870528. Its totient is φ = 36533484240000.

The previous prime is 101001100101037. The next prime is 101001100101113. The reversal of 101001100101110 is 11101001100101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100101113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441747020 + ... + 441975600.

It is an arithmetic number, because the mean of its divisors is an integer number (3115283732352).

Almost surely, 2101001100101110 is an apocalyptic number.

101001100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001100101110 is a deficient number, since it is larger than the sum of its proper divisors (98377058769418).

101001100101110 is a wasteful number, since it uses less digits than its factorization.

101001100101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249821.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101001100101110 its reverse (11101001100101), we get a palindrome (112102101201211).

The spelling of 101001100101110 in words is "one hundred one trillion, one billion, one hundred million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 110 191 382 955 1910 2101 4202 10505 21010 21031 42062 105155 210310 228581 231341 457162 462682 1142905 1156705 2285810 2313410 2514391 4016921 5028782 8033842 12571955 20084605 25143910 40169210 43658971 44186131 87317942 88372262 218294855 220930655 436589710 441861310 480248681 960497362 2401243405 4802486810 4807287011 9614574022 24036435055 48072870110 52880157121 105760314242 264400785605 528801571210 918191819101 1836383638202 4590959095505 9181918191010 10100110010111 20200220020222 50500550050555 101001100101110