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10111210011 = 327355745121
BaseRepresentation
bin10010110101010110…
…01101001000011011
3222002200000200120200
421122223031020123
5131201432210021
64351154153243
7505364603250
oct113253151033
928080020520
1010111210011
114319572811
121b62282823
13c51a57506
146bcc31427
153e2a29126
hex25aacd21b

10111210011 has 24 divisors (see below), whose sum is σ = 16696583904. Its totient is φ = 5776081920.

The previous prime is 10111210009. The next prime is 10111210033. The reversal of 10111210011 is 11001211101.

10111210011 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 10111210011 - 21 = 10111210009 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 = 10111209975 and 10111210002.

It is not an unprimeable number, because it can be changed into a prime (10111210051) 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, 201531 + ... + 246651.

It is an arithmetic number, because the mean of its divisors is an integer number (695690996).

Almost surely, 210111210011 is an apocalyptic number.

10111210011 is a deficient number, since it is larger than the sum of its proper divisors (6585373893).

10111210011 is a wasteful number, since it uses less digits than its factorization.

10111210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48691 (or 48688 counting only the distinct ones).

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

Adding to 10111210011 its reverse (11001211101), we get a palindrome (21112421112).

The spelling of 10111210011 in words is "ten billion, one hundred eleven million, two hundred ten thousand, eleven".

Divisors: 1 3 7 9 21 63 3557 10671 24899 32013 45121 74697 135363 224091 315847 406089 947541 2842623 160495397 481486191 1123467779 1444458573 3370403337 10111210011