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23130000423024 = 24311315413261061
BaseRepresentation
bin1010100001001010111110…
…11101010111100001110000
310000220012120111110112000020
411100211133131113201300
511012430220102014044
6121105435301523440
74605041654444445
oct520453735274160
9100805514415006
1023130000423024
117408418271750
1227168ba413580
13cba1c3b05b71
1459d6d86cd9cc
152a19e74c3a19
hex15095f757870

23130000423024 has 160 divisors (see below), whose sum is σ = 67299962431488. Its totient is φ = 6781712256000.

The previous prime is 23130000423017. The next prime is 23130000423059. The reversal of 23130000423024 is 42032400003132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23130000422985 and 23130000423003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88469454 + ... + 88730514.

Almost surely, 223130000423024 is an apocalyptic number.

23130000423024 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 23130000423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33649981215744).

23130000423024 is an abundant number, since it is smaller than the sum of its proper divisors (44169962008464).

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

23130000423024 is a wasteful number, since it uses less digits than its factorization.

23130000423024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266527 (or 266521 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23130000423024 its reverse (42032400003132), we get a palindrome (65162400426156).

The spelling of 23130000423024 in words is "twenty-three trillion, one hundred thirty billion, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5413 5456 8184 10826 16239 16368 21652 32478 43304 59543 64956 86608 119086 129912 167803 178629 238172 259824 261061 335606 357258 476344 503409 522122 671212 714516 783183 952688 1006818 1044244 1342424 1429032 1566366 1845833 2013636 2088488 2684848 2858064 2871671 3132732 3691666 4027272 4176976 5537499 5743342 6265464 7383332 8054544 8092891 8615013 11074998 11486684 12530928 14766664 16185782 17230026 22149996 22973368 24278673 29533328 32371564 34460052 44299992 45946736 48557346 64743128 68920104 88599984 89021801 97114692 129486256 137840208 178043602 194229384 267065403 356087204 388458768 534130806 712174408 1068261612 1413123193 1424348816 2136523224 2826246386 4239369579 4273046448 5652492772 8478739158 11304985544 15544355123 16957478316 22609971088 31088710246 33914956632 43806818983 46633065369 62177420492 67829913264 87613637966 93266130738 124354840984 131420456949 175227275932 186532261476 248709681968 262840913898 350454551864 373064522952 481875008813 525681827796 700909103728 746129045904 963750017626 1051363655592 1445625026439 1927500035252 2102727311184 2891250052878 3855000070504 5782500105756 7710000141008 11565000211512 23130000423024