Search a number
-
+
10100011111011 = 331007033714631
BaseRepresentation
bin1001001011111001011110…
…0100110001001001100011
31022202112220010210002112000
42102332113210301021203
52310434310321023021
633251514150135043
72061462455640363
oct222762744611143
938675803702460
1010100011111011
113244432a68a78
121171549351483
13583572058413
1426cbb38429a3
15127ad0124b26
hex92f97931263

10100011111011 has 16 divisors (see below), whose sum is σ = 14963132037120. Its totient is φ = 6733272064680.

The previous prime is 10100011110991. The next prime is 10100011111037. The reversal of 10100011111011 is 11011111000101.

10100011111011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100011111011 - 26 = 10100011110947 is a prime.

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 = 10100011110984 and 10100011111002.

It is not an unprimeable number, because it can be changed into a prime (10100011111051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861666 + ... + 4576296.

It is an arithmetic number, because the mean of its divisors is an integer number (935195752320).

Almost surely, 210100011111011 is an apocalyptic number.

10100011111011 is a deficient number, since it is larger than the sum of its proper divisors (4863120926109).

10100011111011 is a wasteful number, since it uses less digits than its factorization.

10100011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815343 (or 3815337 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100011111011 its reverse (11011111000101), we get a palindrome (21111122111112).

The spelling of 10100011111011 in words is "ten trillion, one hundred billion, eleven million, one hundred eleven thousand, eleven".

Divisors: 1 3 9 27 100703 302109 906327 2718981 3714631 11143893 33431679 100295037 374074485593 1122223456779 3366670370337 10100011111011