Search a number
-
+
1100100000012 = 2231310516709727
BaseRepresentation
bin10000000000100011000…
…100011101100100001100
310220011112212020021221220
4100000203010131210030
5121011001100000022
62201213504523340
7142323334466526
oct20004304354414
93804485207856
101100100000012
11394605852532
12159259320550
137c97b71ba90
143b360898a16
151d93965585c
hex1002311d90c

1100100000012 has 48 divisors (see below), whose sum is σ = 2766984471552. Its totient is φ = 338170190400.

The previous prime is 1100100000007. The next prime is 1100100000023. The reversal of 1100100000012 is 2100000010011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3190908 + ... + 3518819.

It is an arithmetic number, because the mean of its divisors is an integer number (57645509824).

Almost surely, 21100100000012 is an apocalyptic number.

1100100000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100100000012 is an abundant number, since it is smaller than the sum of its proper divisors (1666884471540).

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

1100100000012 is a wasteful number, since it uses less digits than its factorization.

1100100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710798 (or 6710796 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100100000012 its reverse (2100000010011), we get a palindrome (3200100010023).

Subtracting 1100100000012 from its reverse (2100000010011), we obtain a palindrome (999900009999).

The spelling of 1100100000012 in words is "one trillion, one hundred billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1051 2102 3153 4204 6306 12612 13663 27326 40989 54652 81978 163956 6709727 13419454 20129181 26838908 40258362 80516724 87226451 174452902 261679353 348905804 523358706 1046717412 7051923077 14103846154 21155769231 28207692308 42311538462 84623076924 91675000001 183350000002 275025000003 366700000004 550050000006 1100100000012