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11331130021230 = 23523831277154937
BaseRepresentation
bin1010010011100011101111…
…1110101101010101101110
31111010020121221012122010210
42210320323332231111232
52441122123241134410
640033241013043250
72246434652005245
oct244707376552556
944106557178123
1011331130021230
113679561549988
121330070626526
136426a077a266
142b2602c3795c
15149b36ca8220
hexa4e3bfad56e

11331130021230 has 128 divisors (see below), whose sum is σ = 28741658416128. Its totient is φ = 2853182385152.

The previous prime is 11331130021229. The next prime is 11331130021273. The reversal of 11331130021230 is 3212003113311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11331130021197 and 11331130021206.

It is a congruent 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, 73056322 + ... + 73211258.

It is an arithmetic number, because the mean of its divisors is an integer number (224544206376).

Almost surely, 211331130021230 is an apocalyptic number.

11331130021230 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 11331130021230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370829208064).

11331130021230 is an abundant number, since it is smaller than the sum of its proper divisors (17410528394898).

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

11331130021230 is a wasteful number, since it uses less digits than its factorization.

11331130021230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156330.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331130021230 its reverse (3212003113311), we get a palindrome (14543133134541).

The spelling of 11331130021230 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 830 1245 1277 1909 2490 2554 3818 3831 5727 6385 7662 9545 11454 12770 19090 19155 28635 29371 38310 57270 58742 88113 105991 146855 154937 176226 211982 293710 309874 317973 440565 464811 529955 635946 774685 881130 929622 1059910 1549370 1589865 2324055 2437793 3179730 3563551 4648110 4875586 7127102 7313379 10690653 12188965 12859771 14626758 17817755 21381306 24377930 25719542 35635510 36566895 38579313 53453265 64298855 73133790 77158626 106906530 128597710 192896565 197854549 295774733 385793130 395709098 591549466 593563647 887324199 989272745 1187127294 1478873665 1774648398 1978545490 2957747330 2967818235 4436620995 4550654627 5935636470 8873241990 9101309254 13651963881 16421927567 22753273135 27303927762 32843855134 45506546270 49265782701 68259819405 82109637835 98531565402 136519638810 164219275670 246328913505 377704334041 492657827010 755408668082 1133113002123 1888521670205 2266226004246 3777043340410 5665565010615 11331130021230