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23001141024 = 25348873897
BaseRepresentation
bin10101011010111110…
…011000111100100000
32012100222201000210000
4111122332120330200
5334101243003044
614322214140000
71442663321121
oct253276307440
965328630700
1023001141024
1198335a9764
12455b051600
13222739b624
141182b08048
158e9487d69
hex55af98f20

23001141024 has 60 divisors (see below), whose sum is σ = 67645724454. Its totient is φ = 7667046144.

The previous prime is 23001141019. The next prime is 23001141067. The reversal of 23001141024 is 42014110032.

23001141024 is a `hidden beast` number, since 230 + 0 + 1 + 1 + 410 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22807040400 + 194100624 = 151020^2 + 13932^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23001140988 and 23001141006.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4434357 + ... + 4439540.

Almost surely, 223001141024 is an apocalyptic number.

23001141024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23001141024 is an abundant number, since it is smaller than the sum of its proper divisors (44644583430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23001141024 is an equidigital number, since it uses as much as digits as its factorization.

23001141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873919 (or 8873902 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23001141024 its reverse (42014110032), we get a palindrome (65015251056).

It can be divided in two parts, 23001 and 141024, that added together give a square (164025 = 4052).

The spelling of 23001141024 in words is "twenty-three billion, one million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8873897 17747794 26621691 35495588 53243382 70991176 79865073 106486764 141982352 159730146 212973528 239595219 283964704 319460292 425947056 479190438 638920584 718785657 851894112 958380876 1277841168 1437571314 1916761752 2555682336 2875142628 3833523504 5750285256 7667047008 11500570512 23001141024