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1000011100110 = 2351137191428801
BaseRepresentation
bin11101000110101010100…
…11100110111111001110
310112121012111022100222020
432203111103212333032
5112341010320200420
62043222044231010
7132151131046611
oct16432523467716
93477174270866
101000011100110
11356114217640
1214198583b466
13733ba684059
1436587ad6178
151b02c70a340
hexe8d54e6fce

1000011100110 has 128 divisors (see below), whose sum is σ = 2703058034688. Its totient is φ = 234639360000.

The previous prime is 1000011100091. The next prime is 1000011100139. The reversal of 1000011100110 is 110011100001.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2117710 + ... + 2546510.

It is an arithmetic number, because the mean of its divisors is an integer number (21117640896).

Almost surely, 21000011100110 is an apocalyptic number.

1000011100110 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 1000011100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351529017344).

1000011100110 is an abundant number, since it is smaller than the sum of its proper divisors (1703046934578).

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

1000011100110 is a wasteful number, since it uses less digits than its factorization.

1000011100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429050.

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

Adding to 1000011100110 its reverse (110011100001), we get a palindrome (1110022200111).

The spelling of 1000011100110 in words is "one trillion, eleven million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 191 222 330 370 382 407 555 573 814 955 1110 1146 1221 1910 2035 2101 2442 2865 4070 4202 5730 6105 6303 7067 10505 12210 12606 14134 21010 21201 31515 35335 42402 63030 70670 77737 106005 155474 212010 233211 388685 428801 466422 777370 857602 1166055 1286403 2144005 2332110 2572806 4288010 4716811 6432015 9433622 12864030 14150433 15865637 23584055 28300866 31731274 47168110 47596911 70752165 79328185 81900991 95193822 141504330 158656370 163801982 174522007 237984555 245702973 349044014 409504955 475969110 491405946 523566021 819009910 872610035 900910901 1047132042 1228514865 1745220070 1801821802 2457029730 2617830105 2702732703 3030336667 4504554505 5235660210 5405465406 6060673334 9009109010 9091010001 13513663515 15151683335 18182020002 27027327030 30303366670 33333703337 45455050005 66667406674 90910100010 100001110011 166668516685 200002220022 333337033370 500005550055 1000011100110