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24421341100 = 22521379401593
BaseRepresentation
bin10110101111101000…
…000001011110101100
32100000222001200000211
4112233220001132230
5400003330403400
615115150032204
71523116655122
oct265750013654
970028050024
1024421341100
11a3a2235032
1248967a8664
1323c26a05c0
141279597912
1597debcdba
hex5afa017ac

24421341100 has 144 divisors (see below), whose sum is σ = 58035035520. Its totient is φ = 8865792000.

The previous prime is 24421341037. The next prime is 24421341137. The reversal of 24421341100 is 114312442.

It is a happy number.

It is a super-2 number, since 2×244213411002 (a number of 22 digits) contains 22 as substring.

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, 41182404 + ... + 41182996.

It is an arithmetic number, because the mean of its divisors is an integer number (403021080).

Almost surely, 224421341100 is an apocalyptic number.

24421341100 is a gapful number since it is divisible by the number (20) 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 24421341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29017517760).

24421341100 is an abundant number, since it is smaller than the sum of its proper divisors (33613694420).

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

24421341100 is a wasteful number, since it uses less digits than its factorization.

24421341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 24421341100 its reverse (114312442), we get a palindrome (24535653542).

The spelling of 24421341100 in words is "twenty-four billion, four hundred twenty-one million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 401 593 650 790 802 1027 1186 1300 1580 1604 1975 2005 2054 2372 2965 3950 4010 4108 5135 5213 5930 7709 7900 8020 10025 10270 10426 11860 14825 15418 20050 20540 20852 25675 26065 29650 30836 31679 38545 40100 46847 51350 52130 59300 63358 77090 93694 102700 104260 126716 130325 154180 158395 187388 192725 234235 237793 260650 316790 385450 411827 468470 475586 521300 609011 633580 770900 791975 823654 936940 951172 1171175 1188965 1218022 1583950 1647308 2059135 2342350 2377930 2436044 3045055 3091309 3167900 4118270 4684700 4755860 5944825 6090110 6182618 8236540 10295675 11889650 12180220 12365236 15225275 15456545 18785647 20591350 23779300 30450550 30913090 37571294 41182700 60901100 61826180 75142588 77282725 93928235 154565450 187856470 244213411 309130900 375712940 469641175 488426822 939282350 976853644 1221067055 1878564700 2442134110 4884268220 6105335275 12210670550 24421341100