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23411100111432 = 23311159421556253
BaseRepresentation
bin1010101001010110100100…
…10011100101001001001000
310001220002010211010020101220
411110223102103211021020
511032031413112031212
6121442524431442040
74634252612410635
oct524532223451110
9101802124106356
1023411100111432
117506656761120
12276128a086320
13100a87102ba37
145ad16360718c
152a8e9a73a38c
hex154ad24e5248

23411100111432 has 64 divisors (see below), whose sum is σ = 63848970135360. Its totient is φ = 7094215507200.

The previous prime is 23411100111361. The next prime is 23411100111491.

23411100111432 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41809018 + ... + 42365270.

It is an arithmetic number, because the mean of its divisors is an integer number (997640158365).

Almost surely, 223411100111432 is an apocalyptic number.

23411100111432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23411100111432 is an abundant number, since it is smaller than the sum of its proper divisors (40437870023928).

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

23411100111432 is a wasteful number, since it uses less digits than its factorization.

23411100111432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715694 (or 715690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 23411100 and 111432, that added together give a palindrome (23522532).

The spelling of 23411100111432 in words is "twenty-three trillion, four hundred eleven billion, one hundred million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 159421 318842 478263 556253 637684 956526 1112506 1275368 1668759 1753631 1913052 2225012 3337518 3507262 3826104 4450024 5260893 6118783 6675036 7014524 10521786 12237566 13350072 14029048 18356349 21043572 24475132 36712698 42087144 48950264 73425396 146850792 88678409513 177356819026 266035228539 354713638052 532070457078 709427276104 975462504643 1064140914156 1950925009286 2128281828312 2926387513929 3901850018572 5852775027858 7803700037144 11705550055716 23411100111432