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10140022101 = 3112069148513
BaseRepresentation
bin10010111000110010…
…00111010101010101
3222011200020111100010
421130121013111111
5131231321201401
64354103510433
7506164523436
oct113431072525
928150214303
1010140022101
114333861760
121b6ba58419
13c57a048a1
146c29b148d
153e531aed6
hex25c647555

10140022101 has 16 divisors (see below), whose sum is σ = 14756351040. Its totient is φ = 6142456320.

The previous prime is 10140022093. The next prime is 10140022129. The reversal of 10140022101 is 10122004101.

It is a happy number.

10140022101 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 10140022101 - 23 = 10140022093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140022301) 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, 5980 + ... + 142533.

It is an arithmetic number, because the mean of its divisors is an integer number (922271940).

Almost surely, 210140022101 is an apocalyptic number.

10140022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10140022101 is a deficient number, since it is larger than the sum of its proper divisors (4616328939).

10140022101 is a wasteful number, since it uses less digits than its factorization.

10140022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150596.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10140022101 its reverse (10122004101), we get a palindrome (20262026202).

The spelling of 10140022101 in words is "ten billion, one hundred forty million, twenty-two thousand, one hundred one".

Divisors: 1 3 11 33 2069 6207 22759 68277 148513 445539 1633643 4900929 307273397 921820191 3380007367 10140022101