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10101140031 = 319473770489
BaseRepresentation
bin10010110100001001…
…10010101000111111
3222001222002002011110
421122010302220333
5131141342440111
64350154253103
7505213162563
oct113204625077
928058062143
1010101140031
114313915014
121b5aa27193
13c4c93cb48
146bb76d6a3
153e1bda5a6
hex25a132a3f

10101140031 has 16 divisors (see below), whose sum is σ = 14478681600. Its totient is φ = 6243928128.

The previous prime is 10101140011. The next prime is 10101140033. The reversal of 10101140031 is 13004110101.

10101140031 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 10101140031 - 229 = 9564269119 is a prime.

It is a super-2 number, since 2×101011400312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101139989 and 10101140016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101140033) 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 15 ways as a sum of consecutive naturals, for example, 1882566 + ... + 1887923.

It is an arithmetic number, because the mean of its divisors is an integer number (904917600).

Almost surely, 210101140031 is an apocalyptic number.

10101140031 is a deficient number, since it is larger than the sum of its proper divisors (4377541569).

10101140031 is a wasteful number, since it uses less digits than its factorization.

10101140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770558.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10101140031 its reverse (13004110101), we get a palindrome (23105250132).

The spelling of 10101140031 in words is "ten billion, one hundred one million, one hundred forty thousand, thirty-one".

Divisors: 1 3 19 47 57 141 893 2679 3770489 11311467 71639291 177212983 214917873 531638949 3367046677 10101140031