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23032111123032 = 233112319131982837
BaseRepresentation
bin1010011110010100101001…
…10011010100101001011000
310000112211220102110211211220
411033022110303110221120
511004324230421414112
6120552450014252040
74565005120226334
oct517122463245130
9100484812424756
1023032111123032
11737a955312820
1226bb93b4b7020
13cb0bc368c64b
14598a8db027c4
1529e1b871698c
hex14f294cd4a58

23032111123032 has 128 divisors (see below), whose sum is σ = 65580225384960. Its totient is φ = 6672481080320.

The previous prime is 23032111122959. The next prime is 23032111123069.

23032111123032 is nontrivially palindromic in base 10.

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 = 23032111122993 and 23032111123011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10624318 + ... + 12607154.

It is an arithmetic number, because the mean of its divisors is an integer number (512345510820).

Almost surely, 223032111123032 is an apocalyptic number.

23032111123032 is a gapful number since it is divisible by the number (22) 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 23032111123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32790112692480).

23032111123032 is an abundant number, since it is smaller than the sum of its proper divisors (42548114261928).

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

23032111123032 is a wasteful number, since it uses less digits than its factorization.

23032111123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984793 (or 1984789 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2303211 and 1123032, that added together give a palindrome (3426243).

The spelling of 23032111123032 in words is "twenty-three trillion, thirty-two billion, one hundred eleven million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 1913 2024 3036 3826 5739 6072 7652 11478 15304 21043 22956 42086 43999 45912 63129 84172 87998 126258 131997 168344 175996 252516 263994 351992 483989 505032 527988 967978 1055976 1451967 1935956 1982837 2903934 3871912 3965674 5807868 5948511 7931348 11615736 11897022 15862696 21811207 23794044 43622414 45605251 47588088 65433621 87244828 91210502 130867242 136815753 174489656 182421004 261734484 273631506 364842008 501657761 523468968 547263012 1003315522 1094526024 1504973283 2006631044 3009946566 3793167181 4013262088 6019893132 7586334362 11379501543 12039786264 15172668724 22759003086 30345337448 41724838991 45518006172 83449677982 87242845163 91036012344 125174516973 166899355964 174485690326 250349033946 261728535489 333798711928 348971380652 500698067892 523457070978 697942761304 959671296793 1001396135784 1046914141956 1919342593586 2093828283912 2879013890379 3838685187172 5758027780758 7677370374344 11516055561516 23032111123032