Search a number
-
+
10011012000111 = 324213877681487
BaseRepresentation
bin1001000110101101111011…
…0100000110100101101111
31022110001011122020211010100
42101223132310012211233
52303010023033000421
633142555002242143
72052162131660013
oct221533664064557
938401148224110
1010011012000111
11320a712318761
12115824b7b6353
1357805a6c4c15
1426876d844543
15125621aa2c26
hex91aded0696f

10011012000111 has 24 divisors (see below), whose sum is σ = 14498458205504. Its totient is φ = 6656428134720.

The previous prime is 10011012000109. The next prime is 10011012000169. The reversal of 10011012000111 is 11100021011001.

It is not a de Polignac number, because 10011012000111 - 21 = 10011012000109 is a prime.

It is a super-2 number, since 2×100110120001112 (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011012000093 and 10011012000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011013000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14349210 + ... + 15030696.

Almost surely, 210011012000111 is an apocalyptic number.

10011012000111 is a deficient number, since it is larger than the sum of its proper divisors (4487446205393).

10011012000111 is a wasteful number, since it uses less digits than its factorization.

10011012000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685791 (or 685788 counting only the distinct ones).

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

Adding to 10011012000111 its reverse (11100021011001), we get a palindrome (21111033011112).

The spelling of 10011012000111 in words is "ten trillion, eleven billion, twelve million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 421 1263 3789 3877 11631 34893 681487 1632217 2044461 4896651 6133383 14689953 286906027 860718081 2582154243 2642125099 7926375297 23779125891 1112334666679 3337004000037 10011012000111