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10023123141 = 344311032609
BaseRepresentation
bin10010101010110110…
…01011100011000101
3221212112021102010000
421111123023203011
5131011404420031
64334330151513
7503245066233
oct112533134305
927775242100
1010023123141
114283878849
121b38882599
13c397252c5
146b1261953
153d9e293e6
hex2556cb8c5

10023123141 has 40 divisors (see below), whose sum is σ = 15340786560. Its totient is φ = 6518268288.

The previous prime is 10023123059. The next prime is 10023123157. The reversal of 10023123141 is 14132132001.

10023123141 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10023123141 - 211 = 10023121093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023123191) 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 39 ways as a sum of consecutive naturals, for example, 3840445 + ... + 3843053.

It is an arithmetic number, because the mean of its divisors is an integer number (383519664).

Almost surely, 210023123141 is an apocalyptic number.

It is an amenable number.

10023123141 is a deficient number, since it is larger than the sum of its proper divisors (5317663419).

10023123141 is a wasteful number, since it uses less digits than its factorization.

10023123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10023123141 its reverse (14132132001), we get a palindrome (24155255142).

The spelling of 10023123141 in words is "ten billion, twenty-three million, one hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 43 81 129 387 1103 1161 2609 3309 3483 7827 9927 23481 29781 47429 70443 89343 112187 142287 211329 336561 426861 1009683 1280583 2877727 3029049 3841749 8633181 9087147 25899543 77698629 123742261 233095887 371226783 1113680349 3341041047 10023123141