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41330311230 = 235131572332897
BaseRepresentation
bin100110011111011110…
…101000000000111110
310221200101021100102210
4212133132220000332
51134121024424410
630553100001250
72662126564125
oct463736500076
9127611240383
1041330311230
111658997960a
128015530226
133b88871080
14200113cabc
15111d6b3220
hex99f7a803e

41330311230 has 128 divisors (see below), whose sum is σ = 108002014848. Its totient is φ = 10061955072.

The previous prime is 41330311213. The next prime is 41330311249. The reversal of 41330311230 is 3211303314.

It is a super-2 number, since 2×413303112302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41330311197 and 41330311206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14265142 + ... + 14268038.

It is an arithmetic number, because the mean of its divisors is an integer number (843765741).

Almost surely, 241330311230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41330311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54001007424).

41330311230 is an abundant number, since it is smaller than the sum of its proper divisors (66671703618).

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

41330311230 is a wasteful number, since it uses less digits than its factorization.

41330311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 41330311230 its reverse (3211303314), we get a palindrome (44541614544).

The spelling of 41330311230 in words is "forty-one billion, three hundred thirty million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 157 195 233 314 390 466 471 699 785 942 1165 1398 1570 2041 2330 2355 2897 3029 3495 4082 4710 5794 6058 6123 6990 8691 9087 10205 12246 14485 15145 17382 18174 20410 28970 30290 30615 36581 37661 43455 45435 61230 73162 75322 86910 90870 109743 112983 182905 188305 219486 225966 365810 376610 454829 475553 548715 564915 675001 909658 951106 1097430 1129830 1350002 1364487 1426659 2025003 2274145 2377765 2728974 2853318 3375005 4050006 4548290 4755530 5912777 6750010 6822435 7133295 8775013 10125015 11825554 13644870 14266590 17550026 17738331 20250030 26325039 29563885 35476662 43875065 52650078 59127770 87750130 88691655 105975157 131625195 177383310 211950314 263250390 317925471 529875785 635850942 1059751570 1377677041 1589627355 2755354082 3179254710 4133031123 6888385205 8266062246 13776770410 20665155615 41330311230