Search a number
-
+
10123111141 = 1113235358073
BaseRepresentation
bin10010110110110001…
…00110101011100101
3222010111102022212021
421123120212223211
5131213004024031
64352301223141
7505601011363
oct113330465345
928114368767
1010123111141
114325261260
121b66261ab1
13c543634c0
146c064c633
153e3aca511
hex25b626ae5

10123111141 has 32 divisors (see below), whose sum is σ = 12644335872. Its totient is φ = 7972124160.

The previous prime is 10123111139. The next prime is 10123111181. The reversal of 10123111141 is 14111132101.

It is not a de Polignac number, because 10123111141 - 21 = 10123111139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123111181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145281 + ... + 203353.

It is an arithmetic number, because the mean of its divisors is an integer number (395135496).

Almost surely, 210123111141 is an apocalyptic number.

10123111141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123111141 is a deficient number, since it is larger than the sum of its proper divisors (2521224731).

10123111141 is a wasteful number, since it uses less digits than its factorization.

10123111141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58173.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10123111141 its reverse (14111132101), we get a palindrome (24234243242).

The spelling of 10123111141 in words is "ten billion, one hundred twenty-three million, one hundred eleven thousand, one hundred forty-one".

Divisors: 1 11 13 23 53 143 253 299 583 689 1219 3289 7579 13409 15847 58073 174317 638803 754949 1335679 3077869 8304439 14692469 17363827 33856559 40012297 70790987 191002097 440135267 778700857 920282831 10123111141