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23124000042 = 2351113332729
BaseRepresentation
bin10101100010010011…
…000011110100101010
32012200112212220200000
4111202103003310222
5334324221000132
614342323323430
71446014520513
oct254223036452
965615786600
1023124000042
119896993540
124594220576
132246986980
141195169a0a
1590515587c
hex5624c3d2a

23124000042 has 96 divisors (see below), whose sum is σ = 61041314880. Its totient is φ = 6468232320.

The previous prime is 23123999999. The next prime is 23124000071. The reversal of 23124000042 is 24000042132.

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 = 23123999979 and 23124000024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96867 + ... + 235862.

It is an arithmetic number, because the mean of its divisors is an integer number (635847030).

Almost surely, 223124000042 is an apocalyptic number.

23124000042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

23124000042 is an abundant number, since it is smaller than the sum of its proper divisors (37917314838).

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

23124000042 is a wasteful number, since it uses less digits than its factorization.

23124000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332770 (or 332758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23124000042 its reverse (24000042132), we get a palindrome (47124042174).

The spelling of 23124000042 in words is "twenty-three billion, one hundred twenty-four million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1287 1782 2106 2574 2673 3159 3861 5346 6318 7722 11583 23166 34749 69498 332729 665458 998187 1996374 2994561 3660019 4325477 5989122 7320038 8650954 8983683 10980057 12976431 17967366 21960114 25952862 26951049 32940171 38929293 47580247 53902098 65880342 77858586 80853147 95160494 98820513 116787879 142740741 161706294 197641026 233575758 285481482 296461539 350363637 428222223 592923078 700727274 856444446 889384617 1051090911 1284666669 1778769234 2102181822 2569333338 3854000007 7708000014 11562000021 23124000042