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41301020230200 = 233252142316124393
BaseRepresentation
bin10010110010000001001001…
…01000111100001000111000
312102020100011010000112021100
421121000210220330020320
520403133442134331300
6223501232103011400
711461620532404243
oct1131004450741070
9172210133015240
1041301020230200
1112183734228315
1247704b8139b60
131a07891b631c3
14a2ada135a25a
154b95034bc700
hex259024a3c238

41301020230200 has 144 divisors (see below), whose sum is σ = 138800073503520. Its totient is φ = 11005865003520.

The previous prime is 41301020230157. The next prime is 41301020230229. The reversal of 41301020230200 is 203202010314.

41301020230200 is a `hidden beast` number, since 4 + 130 + 102 + 0 + 230 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5500797 + ... + 10623596.

It is an arithmetic number, because the mean of its divisors is an integer number (963889399330).

Almost surely, 241301020230200 is an apocalyptic number.

41301020230200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41301020230200 is an abundant number, since it is smaller than the sum of its proper divisors (97499053273320).

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

41301020230200 is a wasteful number, since it uses less digits than its factorization.

41301020230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125838 (or 16125826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41301020230200 its reverse (203202010314), we get a palindrome (41504222240514).

The spelling of 41301020230200 in words is "forty-one trillion, three hundred one billion, twenty million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1423 1800 2846 4269 5692 7115 8538 11384 12807 14230 17076 21345 25614 28460 34152 35575 42690 51228 56920 64035 71150 85380 102456 106725 128070 142300 170760 213450 256140 284600 320175 426900 512280 640350 853800 1280700 2561400 16124393 32248786 48373179 64497572 80621965 96746358 128995144 145119537 161243930 193492716 241865895 290239074 322487860 386985432 403109825 483731790 580478148 644975720 725597685 806219650 967463580 1160956296 1209329475 1451195370 1612439300 1934927160 2418658950 2902390740 3224878600 3627988425 4837317900 5804781480 7255976850 9674635800 14511953700 22945011239 29023907400 45890022478 68835033717 91780044956 114725056195 137670067434 183560089912 206505101151 229450112390 275340134868 344175168585 413010202302 458900224780 550680269736 573625280975 688350337170 826020404604 917800449560 1032525505755 1147250561950 1376700674340 1652040809208 1720875842925 2065051011510 2294501123900 2753401348680 3441751685850 4130102023020 4589002247800 5162627528775 6883503371700 8260204046040 10325255057550 13767006743400 20650510115100 41301020230200