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11007020511 = 321972438887
BaseRepresentation
bin10100100000001000…
…11100110111011111
31001102002122120120100
422100010130313133
5140020244124021
65020114352143
7536523062544
oct122004346737
931362576510
1011007020511
1147391a3473
12217228b653
131065514cb6
14765bbabcb
154464c9626
hex29011cddf

11007020511 has 24 divisors (see below), whose sum is σ = 16740014720. Its totient is φ = 6950060496.

The previous prime is 11007020483. The next prime is 11007020513. The reversal of 11007020511 is 11502070011.

It is a happy number.

11007020511 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 11007020511 - 215 = 11006987743 is a prime.

It is a super-2 number, since 2×110070205112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007020513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234110 + ... + 1242996.

Almost surely, 211007020511 is an apocalyptic number.

11007020511 is a deficient number, since it is larger than the sum of its proper divisors (5732994209).

11007020511 is a wasteful number, since it uses less digits than its factorization.

11007020511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 11007020511 its reverse (11502070011), we get a palindrome (22509090522).

The spelling of 11007020511 in words is "eleven billion, seven million, twenty thousand, five hundred eleven".

Divisors: 1 3 9 19 57 171 7243 8887 21729 26661 65187 79983 137617 168853 412851 506559 1238553 1519677 64368541 193105623 579316869 1223002279 3669006837 11007020511