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10022101011 = 32133122312391
BaseRepresentation
bin10010101010101110…
…10010000000010011
3221212110100111000100
421111113102000103
5131011124213021
64334252223443
7503233311246
oct112527220023
927773314010
1010022101011
11428323a90a
121b3846ab83
13c39457cb0
146b107725d
153d9cc6626
hex2555d2013

10022101011 has 48 divisors (see below), whose sum is σ = 16166305792. Its totient is φ = 5941252800.

The previous prime is 10022101009. The next prime is 10022101043. The reversal of 10022101011 is 11010122001.

It is a happy number.

It is not a de Polignac number, because 10022101011 - 21 = 10022101009 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 = 10022100984 and 10022101002.

It is not an unprimeable number, because it can be changed into a prime (10022101051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802626 + ... + 815016.

Almost surely, 210022101011 is an apocalyptic number.

10022101011 is a deficient number, since it is larger than the sum of its proper divisors (6144204781).

10022101011 is a wasteful number, since it uses less digits than its factorization.

10022101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10022101011 its reverse (11010122001), we get a palindrome (21032223012).

The spelling of 10022101011 in words is "ten billion, twenty-two million, one hundred one thousand, eleven".

Divisors: 1 3 9 13 31 39 93 117 223 279 403 669 1209 2007 2899 3627 6913 8697 12391 20739 26091 37173 62217 89869 111519 161083 269607 384121 483249 808821 1152363 1449747 2763193 3457089 4993573 8289579 14980719 24868737 35921509 44942157 85658983 107764527 256976949 323293581 770930847 1113566779 3340700337 10022101011