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41331123330 = 23572514791637
BaseRepresentation
bin100110011111100001…
…101110010010000010
310221200102210121102120
4212133201232102002
51134121231421310
630553125225110
72662136515560
oct463741562202
9127612717376
1041331123330
111658a383772
128015862196
133b88a968c3
1420012b0a30
15111d7c3b70
hex99f86e482

41331123330 has 128 divisors (see below), whose sum is σ = 114124308480. Its totient is φ = 9384096000.

The previous prime is 41331123293. The next prime is 41331123359. The reversal of 41331123330 is 3332113314.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41331123330.

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 63 ways as a sum of consecutive naturals, for example, 25247272 + ... + 25248908.

It is an arithmetic number, because the mean of its divisors is an integer number (891596160).

Almost surely, 241331123330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41331123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062154240).

41331123330 is an abundant number, since it is smaller than the sum of its proper divisors (72793185150).

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

41331123330 is a wasteful number, since it uses less digits than its factorization.

41331123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 41331123330 its reverse (3332113314), we get a palindrome (44663236644).

The spelling of 41331123330 in words is "forty-one billion, three hundred thirty-one million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 251 479 502 753 958 1255 1437 1506 1637 1757 2395 2510 2874 3274 3353 3514 3765 4790 4911 5271 6706 7185 7530 8185 8785 9822 10059 10542 11459 14370 16370 16765 17570 20118 22918 24555 26355 33530 34377 49110 50295 52710 57295 68754 100590 114590 120229 171885 240458 343770 360687 410887 601145 721374 784123 821774 841603 1202290 1232661 1568246 1683206 1803435 2054435 2352369 2465322 2524809 2876209 3606870 3920615 4108870 4208015 4704738 5049618 5488861 5752418 6163305 7841230 8416030 8628627 10977722 11761845 12326610 12624045 14381045 16466583 17257254 23523690 25248090 27444305 28762090 32933166 43143135 54888610 82332915 86286270 164665830 196814873 393629746 590444619 984074365 1180889238 1377704111 1968148730 2755408222 2952223095 4133112333 5904446190 6888520555 8266224666 13777041110 20665561665 41331123330