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115132122 = 232783101109
BaseRepresentation
bin1101101110011…
…00011011011010
322000122022120200
412313030123122
5213433211442
615231403030
72565415110
oct667143332
9260568520
10115132122
1159a97516
1232683476
131ab11321
141140dab0
15a19334c
hex6dcc6da

115132122 has 96 divisors (see below), whose sum is σ = 294053760. Its totient is φ = 31881600.

The previous prime is 115132111. The next prime is 115132159. The reversal of 115132122 is 221231511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 115132095 and 115132104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056204 + ... + 1056312.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2115132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

115132122 is an abundant number, since it is smaller than the sum of its proper divisors (178921638).

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

115132122 is a wasteful number, since it uses less digits than its factorization.

115132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 115132122 is about 10729.9637464439. The cubic root of 115132122 is about 486.4805742710.

Adding to 115132122 its reverse (221231511), we get a palindrome (336363633).

The spelling of 115132122 in words is "one hundred fifteen million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 101 109 126 166 202 218 249 303 327 498 581 606 654 707 747 763 909 981 1162 1414 1494 1526 1743 1818 1962 2121 2289 3486 4242 4578 5229 6363 6867 8383 9047 10458 11009 12726 13734 16766 18094 22018 25149 27141 33027 50298 54282 58681 63329 66054 75447 77063 81423 99081 117362 126658 150894 154126 162846 176043 189987 198162 231189 352086 379974 462378 528129 569961 693567 913747 1056258 1139922 1387134 1827494 2741241 5482482 6396229 8223723 12792458 16447446 19188687 38377374 57566061 115132122