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1001110011012 = 22351029948571
BaseRepresentation
bin11101001000101101100…
…11100111110010000100
310112201001002002211100000
432210112303213302010
5112400233130323022
62043523101521300
7132220303455516
oct16442663476204
93481032084300
101001110011012
11356628558671
12142031873230
13735342430a7
143664da2dbb6
151b093e286ac
hexe916ce7c84

1001110011012 has 36 divisors (see below), whose sum is σ = 2624308961456. Its totient is φ = 333703336680.

The previous prime is 1001110010993. The next prime is 1001110011023. The reversal of 1001110011012 is 2101100111001.

1001110011012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10011100110122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001110010985 and 1001110011003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514973314 + ... + 514975257.

Almost surely, 21001110011012 is an apocalyptic number.

1001110011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001110011012 is an abundant number, since it is smaller than the sum of its proper divisors (1623198950444).

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

1001110011012 is a wasteful number, since it uses less digits than its factorization.

1001110011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029948590 (or 1029948576 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001110011012 its reverse (2101100111001), we get a palindrome (3102210122013).

The spelling of 1001110011012 in words is "one trillion, one billion, one hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1029948571 2059897142 3089845713 4119794284 6179691426 9269537139 12359382852 18539074278 27808611417 37078148556 55617222834 83425834251 111234445668 166851668502 250277502753 333703337004 500555005506 1001110011012