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24021430000100 = 225213271129752571
BaseRepresentation
bin1010111011000111011001…
…10011010101100111100100
310011001102111202111000012022
411131203230303111213210
511122031342040000400
6123031143111242312
75026330300023311
oct535435463254744
9104042452430168
1024021430000100
117721481aa7995
12283b620379398
131053298b0a8b0
145d0901763d08
152b9cbc3cab85
hex15d8eccd59e4

24021430000100 has 144 divisors (see below), whose sum is σ = 56387892777216. Its totient is φ = 8829741312000.

The previous prime is 24021430000039. The next prime is 24021430000129. The reversal of 24021430000100 is 100003412042.

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, 456906815 + ... + 456959385.

Almost surely, 224021430000100 is an apocalyptic number.

24021430000100 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 24021430000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28193946388608).

24021430000100 is an abundant number, since it is smaller than the sum of its proper divisors (32366462777116).

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

24021430000100 is a wasteful number, since it uses less digits than its factorization.

24021430000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54166 (or 54159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 24021430000100 its reverse (100003412042), we get a palindrome (24121433412142).

The spelling of 24021430000100 in words is "twenty-four trillion, twenty-one billion, four hundred thirty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 271 325 542 650 1084 1297 1300 1355 2594 2710 3523 5188 5420 6485 6775 7046 12970 13550 14092 16861 17615 25940 27100 32425 33722 35230 52571 64850 67444 70460 84305 88075 105142 129700 168610 176150 210284 262855 337220 351487 352300 421525 525710 683423 702974 843050 1051420 1314275 1366846 1405948 1686100 1757435 2628550 2733692 3417115 3514870 4569331 5257100 6834230 7029740 8787175 9138662 13668460 14246741 17085575 17574350 18277324 22846655 28493482 34171150 35148700 45693310 56986964 68184587 68342300 71233705 91386620 114233275 136369174 142467410 185207633 228466550 272738348 284934820 340922935 356168525 370415266 456933100 681845870 712337050 740830532 886399631 926038165 1363691740 1424674100 1704614675 1772799262 1852076330 3409229350 3545598524 3704152660 4431998155 4630190825 6818458700 8863996310 9260381650 17727992620 18478023077 18520763300 22159990775 36956046154 44319981550 73912092308 88639963100 92390115385 184780230770 240214300001 369560461540 461950576925 480428600002 923901153850 960857200004 1201071500005 1847802307700 2402143000010 4804286000020 6005357500025 12010715000050 24021430000100