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11330310231324 = 22327711093579379
BaseRepresentation
bin1010010011100000101100…
…0111011101010100011100
31111010011111210121222210200
42210320023013131110130
52441113433404400244
640033023410103500
72246405435626230
oct244701307352434
944104453558720
1011330310231324
113679180821667
12132ba81b7ab90
1364259c988786
142b2565dda5c0
15149ad9d22669
hexa4e0b1dd51c

11330310231324 has 144 divisors (see below), whose sum is σ = 33223447595520. Its totient is φ = 3188711111040.

The previous prime is 11330310231323. The next prime is 11330310231349. The reversal of 11330310231324 is 42313201303311.

11330310231324 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 310 + 23 + 1 + 324 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330310231323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19266267 + ... + 19845645.

It is an arithmetic number, because the mean of its divisors is an integer number (230718386080).

Almost surely, 211330310231324 is an apocalyptic number.

11330310231324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330310231324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16611723797760).

11330310231324 is an abundant number, since it is smaller than the sum of its proper divisors (21893137364196).

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

11330310231324 is a wasteful number, since it uses less digits than its factorization.

11330310231324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580560 (or 580555 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11330310231324 its reverse (42313201303311), we get a palindrome (53643511534635).

The spelling of 11330310231324 in words is "eleven trillion, three hundred thirty billion, three hundred ten million, two hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1093 1278 1491 1988 2186 2556 2982 3279 4372 4473 5964 6558 7651 8946 9837 13116 15302 17892 19674 22953 30604 39348 45906 68859 77603 91812 137718 155206 232809 275436 310412 465618 543221 579379 698427 931236 1086442 1158758 1396854 1629663 1738137 2172884 2317516 2793708 3259326 3476274 4055653 4888989 5214411 6518652 6952548 8111306 9777978 10428822 12166959 16222612 19555956 20857644 24333918 36500877 41135909 48667836 73001754 82271818 123407727 146003508 164543636 246815454 287951363 370223181 493630908 575902726 633261247 740446362 863854089 1151805452 1266522494 1480892724 1727708178 1899783741 2533044988 2591562267 3455416356 3799567482 4432828729 5183124534 5699351223 7599134964 8865657458 10366249068 11398702446 13298486187 17731314916 22797404892 26596972374 39895458561 44961548537 53193944748 79790917122 89923097074 134884645611 159581834244 179846194148 269769291222 314730839759 404653936833 539538582444 629461679518 809307873666 944192519277 1258923359036 1618615747332 1888385038554 2832577557831 3776770077108 5665155115662 11330310231324