Search a number
-
+
11331344442210 = 235131910259149059
BaseRepresentation
bin1010010011100100100011…
…0000101010001101100010
31111010021011212200100102120
42210321020300222031202
52441123043134122320
640033314152525110
72246443164364302
oct244711060521542
944107155610376
1011331344442210
113679661591601
1213301103b0796
13642706013490
142b26234d1602
15149b4aa10440
hexa4e48c2a362

11331344442210 has 128 divisors (see below), whose sum is σ = 30831808896000. Its totient is φ = 2642175873792.

The previous prime is 11331344442193. The next prime is 11331344442247. The reversal of 11331344442210 is 1224444313311.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75944661 + ... + 76093719.

It is an arithmetic number, because the mean of its divisors is an integer number (240873507000).

Almost surely, 211331344442210 is an apocalyptic number.

11331344442210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331344442210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415904448000).

11331344442210 is an abundant number, since it is smaller than the sum of its proper divisors (19500464453790).

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

11331344442210 is a wasteful number, since it uses less digits than its factorization.

11331344442210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159360.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11331344442210 its reverse (1224444313311), we get a palindrome (12555788755521).

The spelling of 11331344442210 in words is "eleven trillion, three hundred thirty-one billion, three hundred forty-four million, four hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 10259 20518 30777 51295 61554 102590 133367 149059 153885 194921 266734 298118 307770 389842 400101 447177 584763 666835 745295 800202 894354 974605 1169526 1333670 1490590 1937767 1949210 2000505 2235885 2533973 2832121 2923815 3875534 4001010 4471770 5067946 5664242 5813301 5847630 7601919 8496363 9688835 11626602 12669865 14160605 15203838 16992726 19377670 25339730 28321210 29066505 36817573 38009595 42481815 58133010 73635146 76019190 84963630 110452719 184087865 220905438 368175730 552263595 1104527190 1529196281 3058392562 4587588843 7645981405 9175177686 15291962810 19879551653 22937944215 29054729339 39759103306 45875888430 58109458678 59638654959 87164188017 99397758265 119277309918 145273646695 174328376034 198795516530 290547293390 298193274795 377711481407 435820940085 596386549590 755422962814 871641880170 1133134444221 1888557407035 2266268888442 3777114814070 5665672221105 11331344442210