Search a number
-
+
1110011010012 = 2232160719187081
BaseRepresentation
bin10000001001110001110…
…011111101101111011100
310221010010120112202202100
4100021301303331233130
5121141300304310022
62205533152125100
7143124051623442
oct20116163755734
93833116482670
101110011010012
11398831305a93
1215b164536790
138089ab4bc38
143ba20c94b92
151dd197d61ac
hex10271cfdbdc

1110011010012 has 36 divisors (see below), whose sum is σ = 2807607334896. Its totient is φ = 369773405760.

The previous prime is 1110011010007. The next prime is 1110011010089. The reversal of 1110011010012 is 2100101100111.

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

It is a super-3 number, since 3×11100110100123 (a number of 37 digits) contains 333 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 = 1110011009976 and 1110011010003.

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 11 ways as a sum of consecutive naturals, for example, 9535689 + ... + 9651392.

It is an arithmetic number, because the mean of its divisors is an integer number (77989092636).

Almost surely, 21110011010012 is an apocalyptic number.

1110011010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110011010012 is an abundant number, since it is smaller than the sum of its proper divisors (1697596324884).

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

1110011010012 is a wasteful number, since it uses less digits than its factorization.

1110011010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19188698 (or 19188693 counting only the distinct ones).

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

Adding to 1110011010012 its reverse (2100101100111), we get a palindrome (3210112110123).

Subtracting 1110011010012 from its reverse (2100101100111), we obtain a palindrome (990090090099).

The spelling of 1110011010012 in words is "one trillion, one hundred ten billion, eleven million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1607 3214 4821 6428 9642 14463 19284 28926 57852 19187081 38374162 57561243 76748324 115122486 172683729 230244972 345367458 690734916 30833639167 61667278334 92500917501 123334556668 185001835002 277502752503 370003670004 555005505006 1110011010012