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10010001111110 = 2571121390909101
BaseRepresentation
bin1001000110101010001010…
…0011110111100001000110
31022102221120012002100002222
42101222202203313201012
52303000440241023420
633142310411332342
72052125105364530
oct221524243674106
938387505070088
1010010001111110
11320a243737900
1211580091510b2
13577c29144650
142686b54a0850
151255b2e70225
hex91aa28f7846

10010001111110 has 96 divisors (see below), whose sum is σ = 24375275701056. Its totient is φ = 2880000288000.

The previous prime is 10010001111109. The next prime is 10010001111169. The reversal of 10010001111110 is 1111110001001.

10010001111110 is a modest number, since divided by 1111110 gives 10010 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45344441 + ... + 45564660.

It is an arithmetic number, because the mean of its divisors is an integer number (253909121886).

Almost surely, 210010001111110 is an apocalyptic number.

10010001111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010001111110 is an abundant number, since it is smaller than the sum of its proper divisors (14365274589946).

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

10010001111110 is a wasteful number, since it uses less digits than its factorization.

10010001111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90909150 (or 90909139 counting only the distinct ones).

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

Adding to 10010001111110 its reverse (1111110001001), we get a palindrome (11121111112111).

The spelling of 10010001111110 in words is "ten trillion, ten billion, one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 90909101 181818202 454545505 636363707 909091010 1000000111 1181818313 1272727414 2000000222 2363636626 3181818535 5000000555 5909091565 6363637070 7000000777 8272728191 10000001110 11000001221 11818183130 13000001443 14000001554 16545456382 22000002442 26000002886 35000003885 41363640955 55000006105 65000007215 70000007770 77000008547 82727281910 91000010101 110000012210 130000014430 143000015873 154000017094 182000020202 286000031746 385000042735 455000050505 715000079365 770000085470 910000101010 1001000111111 1430000158730 2002000222222 5005000555555 10010001111110