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1000010011110 = 2351143104967181
BaseRepresentation
bin11101000110101010011…
…11011101000111100110
310112121012102021001010220
432203111033131013212
5112341010030323420
62043222005025210
7132151115562645
oct16432517350746
93477172231126
101000010011110
11356113643440
121419853b5206
13733ba392486
14365878d135c
151b02c592840
hexe8d53dd1e6

1000010011110 has 128 divisors (see below), whose sum is σ = 2681690457600. Its totient is φ = 236559590400.

The previous prime is 1000010011081. The next prime is 1000010011123. The reversal of 1000010011110 is 111100100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14851720 + ... + 14918900.

It is an arithmetic number, because the mean of its divisors is an integer number (20950706700).

Almost surely, 21000010011110 is an apocalyptic number.

1000010011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000010011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340845228800).

1000010011110 is an abundant number, since it is smaller than the sum of its proper divisors (1681680446490).

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

1000010011110 is a wasteful number, since it uses less digits than its factorization.

1000010011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68294.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000010011110 its reverse (111100100001), we get a palindrome (1111110111111).

The spelling of 1000010011110 in words is "one trillion, ten million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1049 1290 1419 2098 2365 2838 3147 4730 5245 6294 7095 10490 11539 14190 15735 23078 31470 34617 45107 57695 67181 69234 90214 115390 134362 135321 173085 201543 225535 270642 335905 346170 403086 451070 496177 671810 676605 738991 992354 1007715 1353210 1477982 1488531 2015430 2216973 2480885 2888783 2977062 3694955 4433946 4961770 5777566 7389910 7442655 8666349 11084865 14443915 14885310 17332698 22169730 28887830 31776613 43331745 63553226 70472869 86663490 95329839 140945738 158883065 190659678 211418607 317766130 352364345 422837214 476649195 704728690 775201559 953298390 1057093035 1550403118 2114186070 2325604677 3030333367 3876007795 4651209354 6060666734 7752015590 9091000101 11628023385 15151666835 18182000202 23256046770 30303333670 33333667037 45455000505 66667334074 90910001010 100001001111 166668335185 200002002222 333336670370 500005005555 1000010011110