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115161137316 = 223417211092
BaseRepresentation
bin110101101000000100…
…0111000000010100100
3102000020202222220210000
41223100020320002210
53341322222343231
6124523154501300
711214541342011
oct1532010700244
9360222886700
10115161137316
1144926506a55
121a39b294830
13ab23856b04
14580682c708
152ee027d6e6
hex1ad02380a4

115161137316 has 135 divisors (see below), whose sum is σ = 320093358739. Its totient is φ = 36096406272.

The previous prime is 115161137293. The next prime is 115161137341. The reversal of 115161137316 is 613731161511.

The square root of 115161137316 is 339354.

It is a perfect power (a square), and thus also a powerful number.

115161137316 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 611 + 3 + 7 + 31 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14479308900 + 100681828416 = 120330^2 + 317304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (11340) is a multiple of the sum of its prime factors (2268).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103841770 + ... + 103842878.

Almost surely, 2115161137316 is an apocalyptic number.

115161137316 is the 339354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115161137316

115161137316 is an abundant number, since it is smaller than the sum of its proper divisors (204932221423).

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

115161137316 is an equidigital number, since it uses as much as digits as its factorization.

115161137316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 1131 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

Multiplying 115161137316 by its sum of digits (36), we get a square (4145800943376 = 20361242).

115161137316 divided by its sum of digits (36) gives a square (3198920481 = 565592).

Adding to 115161137316 its reverse (613731161511), we get a palindrome (728892298827).

The spelling of 115161137316 in words is "one hundred fifteen billion, one hundred sixty-one million, one hundred thirty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1109 1156 1377 1734 1836 2218 2601 2754 3327 3468 4436 5202 5508 6654 7803 9981 10404 13308 15606 18853 19962 23409 29943 31212 37706 39924 46818 56559 59886 75412 89829 93636 113118 119772 169677 179658 226236 320501 339354 359316 509031 641002 678708 961503 1018062 1229881 1282004 1527093 1923006 2036124 2459762 2884509 3054186 3689643 3846012 4919524 5769018 6108372 7379286 8653527 11068929 11538036 14758572 17307054 20907977 22137858 25960581 33206787 34614108 41815954 44275716 51921162 62723931 66413574 83631908 99620361 103842324 125447862 132827148 188171793 199240722 250895724 355435609 376343586 398481444 564515379 710871218 752687172 1066306827 1129030758 1421742436 1693546137 2132613654 2258061516 3198920481 3387092274 4265227308 6397840962 6774184548 9596761443 12795681924 19193522886 28790284329 38387045772 57580568658 115161137316