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41001012300 = 22352318353117
BaseRepresentation
bin100110001011110110…
…011100110001001100
310220211102122020020010
4212023312130301030
51132432224343200
630500253553220
72651020566003
oct461366346114
9126742566203
1041001012300
1116430003436
127b431a5810
133b35585431
141dad4ddc3a
1510ee818150
hex98bd9cc4c

41001012300 has 144 divisors (see below), whose sum is σ = 123934067712. Its totient is φ = 10453228800.

The previous prime is 41001012289. The next prime is 41001012313. The reversal of 41001012300 is 321010014.

It is a happy number.

41001012300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 745342 + ... + 798458.

It is an arithmetic number, because the mean of its divisors is an integer number (860653248).

Almost surely, 241001012300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41001012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61967033856).

41001012300 is an abundant number, since it is smaller than the sum of its proper divisors (82933055412).

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

41001012300 is a wasteful number, since it uses less digits than its factorization.

41001012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53248 (or 53241 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 41001012300 its reverse (321010014), we get a palindrome (41322022314).

The spelling of 41001012300 in words is "forty-one billion, one million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 83 93 100 124 150 155 166 186 249 300 310 332 372 415 465 498 620 775 830 930 996 1245 1550 1660 1860 2075 2325 2490 2573 3100 4150 4650 4980 5146 6225 7719 8300 9300 10292 12450 12865 15438 24900 25730 30876 38595 51460 53117 64325 77190 106234 128650 154380 159351 192975 212468 257300 265585 318702 385950 531170 637404 771900 796755 1062340 1327925 1593510 1646627 2655850 3187020 3293254 3983775 4408711 4939881 5311700 6586508 7967550 8233135 8817422 9879762 13226133 15935100 16466270 17634844 19759524 22043555 24699405 26452266 32932540 41165675 44087110 49398810 52904532 66130665 82331350 88174220 98797620 110217775 123497025 132261330 136670041 164662700 220435550 246994050 264522660 273340082 330653325 410010123 440871100 493988100 546680164 661306650 683350205 820020246 1322613300 1366700410 1640040492 2050050615 2733400820 3416751025 4100101230 6833502050 8200202460 10250253075 13667004100 20500506150 41001012300