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12007017115330 = 2537173557336769
BaseRepresentation
bin1010111010111001100111…
…1111010110111011000010
31120111212012200000111101211
42232232121333112323002
53033210332340142310
641311540355120334
72346323035344466
oct256563177267302
946455180014354
1012007017115330
11390a169159476
12141b0598a30aa
13691345408c33
142d71dd9124a6
1515c4e3ebac8a
hexaeb99fd6ec2

12007017115330 has 64 divisors (see below), whose sum is σ = 22365208222560. Its totient is φ = 4637634822144.

The previous prime is 12007017115243. The next prime is 12007017115337. The reversal of 12007017115330 is 3351171070021.

It can be written as a sum of positive squares in 16 ways, for example, as 3289932109489 + 8717085005841 = 1813817^2 + 2952471^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12007017115292 and 12007017115301.

It is not an unprimeable number, because it can be changed into a prime (12007017115337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35485186 + ... + 35821954.

Almost surely, 212007017115330 is an apocalyptic number.

12007017115330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12007017115330 is a deficient number, since it is larger than the sum of its proper divisors (10358191107230).

12007017115330 is a wasteful number, since it uses less digits than its factorization.

12007017115330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337543.

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 12007017115330 its reverse (3351171070021), we get a palindrome (15358188185351).

The spelling of 12007017115330 in words is "twelve trillion, seven billion, seventeen million, one hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 5 10 37 74 173 185 346 370 557 865 1114 1730 2785 5570 6401 12802 20609 32005 41218 64010 96361 103045 192722 206090 336769 481805 673538 963610 1683845 3367690 3565357 7130714 12460453 17826785 24920906 35653570 58261037 62302265 116522074 124604530 187580333 291305185 375160666 582610370 937901665 1875803330 2155658369 4311316738 6940472321 10778291845 13880944642 21556583690 32451397609 34702361605 64902795218 69404723210 162256988045 324513976090 1200701711533 2401403423066 6003508557665 12007017115330