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1000010010010 = 2511191381346469
BaseRepresentation
bin11101000110101010011…
…11011100110110011010
310112121012102020222122011
432203111033130312122
5112341010030310020
62043222005020134
7132151115556514
oct16432517346632
93477172228564
101000010010010
11356113642630
121419853b464a
13733ba391b1b
14365878d0bb4
151b02c59235a
hexe8d53dcd9a

1000010010010 has 64 divisors (see below), whose sum is σ = 2068509052800. Its totient is φ = 344250604800.

The previous prime is 1000010009951. The next prime is 1000010010019. The reversal of 1000010010010 is 100100100001.

1000010010010 is a modest number, since divided by 10010010 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000010010019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2713056 + ... + 3059524.

It is an arithmetic number, because the mean of its divisors is an integer number (32320453950).

Almost surely, 21000010010010 is an apocalyptic number.

1000010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000010010010 is an abundant number, since it is smaller than the sum of its proper divisors (1068499042790).

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

1000010010010 is a wasteful number, since it uses less digits than its factorization.

1000010010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347887.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000010010010 its reverse (100100100001), we get a palindrome (1100110110011).

The spelling of 1000010010010 in words is "one trillion, ten million, ten thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 1045 1381 2090 2762 6905 13810 15191 26239 30382 52478 75955 131195 151910 262390 288629 346469 577258 692938 1443145 1732345 2886290 3464690 3811159 6582911 7622318 13165822 19055795 32914555 38111590 65829110 72412021 144824042 362060105 478473689 724120210 956947378 2392368445 4784736890 5263210579 9091000091 10526421158 18182000182 26316052895 45455000455 52632105790 90910000910 100001001001 200002002002 500005005005 1000010010010