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24212102435420 = 22529891423329617
BaseRepresentation
bin1011000000101010100011…
…10000111101001001011100
310011201122200001022022102012
411200111101300331021130
511133142341210413140
6123254515235250352
75046160320003224
oct540252160751134
9104648601268365
1024212102435420
117795327686749
1228705741499b8
13106826484a313
145d9c2cb23084
152bec2ba1c265
hex160551c3d25c

24212102435420 has 96 divisors (see below), whose sum is σ = 53227242028800. Its totient is φ = 9239289421824.

The previous prime is 24212102435413. The next prime is 24212102435429. The reversal of 24212102435420 is 2453420121242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24212102435429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73290452 + ... + 73620068.

It is an arithmetic number, because the mean of its divisors is an integer number (554450437800).

Almost surely, 224212102435420 is an apocalyptic number.

24212102435420 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 24212102435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26613621014400).

24212102435420 is an abundant number, since it is smaller than the sum of its proper divisors (29015139593380).

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

24212102435420 is a wasteful number, since it uses less digits than its factorization.

24212102435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331167 (or 331165 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 24212102435420 its reverse (2453420121242), we get a palindrome (26665522556662).

The spelling of 24212102435420 in words is "twenty-four trillion, two hundred twelve billion, one hundred two million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 890 1423 1780 2581 2846 5162 5692 7115 10324 12905 14230 25810 28460 41267 51620 82534 126647 165068 206335 253294 329617 412670 506588 633235 659234 825340 1266470 1318468 1648085 2532940 3296170 3672763 6592340 7345526 9558893 14691052 18363815 19117786 29335913 36727630 38235572 47794465 58671826 73455260 95588930 117343652 146679565 191177860 293359130 469044991 586718260 850741477 938089982 1701482954 1876179964 2345224955 3402965908 4253707385 4690449910 8507414770 9380899820 13602304739 17014829540 27204609478 41745004199 54409218956 68011523695 83490008398 136023047390 166980016796 208725020995 272046094780 417450041990 834900083980 1210605121771 2421210243542 4842420487084 6053025608855 12106051217710 24212102435420