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23103120144 = 2431383944129
BaseRepresentation
bin10101100001000011…
…011010001100010000
32012122002121002211110
4111201003122030100
5334303344321034
614340300013320
71445342165256
oct254103321420
965562532743
1023103120144
119886122125
124589231240
132242555bc0
1411924925d6
159033cdde9
hex5610da310

23103120144 has 80 divisors (see below), whose sum is σ = 64352131200. Its totient is φ = 7100018688.

The previous prime is 23103120121. The next prime is 23103120149. The reversal of 23103120144 is 44102130132.

It is a self number, because there is not a number n which added to its sum of digits gives 23103120144.

It is not an unprimeable number, because it can be changed into a prime (23103120149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501472 + ... + 545600.

It is an arithmetic number, because the mean of its divisors is an integer number (804401640).

Almost surely, 223103120144 is an apocalyptic number.

23103120144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23103120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32176065600).

23103120144 is an abundant number, since it is smaller than the sum of its proper divisors (41249011056).

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

23103120144 is a wasteful number, since it uses less digits than its factorization.

23103120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44992 (or 44986 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23103120144 its reverse (44102130132), we get a palindrome (67205250276).

The spelling of 23103120144 in words is "twenty-three billion, one hundred three million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 839 1678 2517 3356 5034 6712 10068 10907 13424 20136 21814 32721 40272 43628 44129 65442 87256 88258 130884 132387 174512 176516 261768 264774 353032 523536 529548 573677 706064 1059096 1147354 1721031 2118192 2294708 3442062 4589416 6884124 9178832 13768248 27536496 37024231 74048462 111072693 148096924 222145386 296193848 444290772 481315003 592387696 888581544 962630006 1443945009 1777163088 1925260012 2887890018 3850520024 5775780036 7701040048 11551560072 23103120144