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17051113120 = 255373285709
BaseRepresentation
bin11111110000101001…
…10101011010100000
31122000022200021221011
433320110311122200
5234410041104440
611455544310304
71142354033026
oct177024653240
948008607834
1017051113120
11725a9aa728
12337a472394
1317b977b362
14b7a7c6716
1569be219ea
hex3f85356a0

17051113120 has 48 divisors (see below), whose sum is σ = 40391394120. Its totient is φ = 6802136064.

The previous prime is 17051113081. The next prime is 17051113141. The reversal of 17051113120 is 2131115071.

17051113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15872976144 + 1178136976 = 125988^2 + 34324^2 .

It is a super-2 number, since 2×170511131202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17051113091 and 17051113100.

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 7 ways as a sum of consecutive naturals, for example, 83175 + ... + 202534.

Almost surely, 217051113120 is an apocalyptic number.

17051113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17051113120 is an abundant number, since it is smaller than the sum of its proper divisors (23340281000).

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

17051113120 is a wasteful number, since it uses less digits than its factorization.

17051113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286097 (or 286089 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 22.

Adding to 17051113120 its reverse (2131115071), we get a palindrome (19182228191).

The spelling of 17051113120 in words is "seventeen billion, fifty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 373 746 1492 1865 2984 3730 5968 7460 11936 14920 29840 59680 285709 571418 1142836 1428545 2285672 2857090 4571344 5714180 9142688 11428360 22856720 45713440 106569457 213138914 426277828 532847285 852555656 1065694570 1705111312 2131389140 3410222624 4262778280 8525556560 17051113120