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135101346 = 23175367373
BaseRepresentation
bin10000000110101…
…11101110100010
3100102012212012120
420003113232202
5234041220341
621223405110
73230225322
oct1003275642
9312185176
10135101346
116a296706
12392b3796
1321cb3733
1413d2b282
15bcda066
hex80d7ba2

135101346 has 64 divisors (see below), whose sum is σ = 296638848. Its totient is φ = 40854528.

The previous prime is 135101321. The next prime is 135101347. The reversal of 135101346 is 643101531.

135101346 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135101347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 362016 + ... + 362388.

It is an arithmetic number, because the mean of its divisors is an integer number (4634982).

Almost surely, 2135101346 is an apocalyptic number.

135101346 is an abundant number, since it is smaller than the sum of its proper divisors (161537502).

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

135101346 is a wasteful number, since it uses less digits than its factorization.

135101346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 135101346 is about 11623.3104578687. The cubic root of 135101346 is about 513.1211216878.

Adding to 135101346 its reverse (643101531), we get a palindrome (778202877).

The spelling of 135101346 in words is "one hundred thirty-five million, one hundred one thousand, three hundred forty-six".

Divisors: 1 2 3 6 17 34 51 53 67 102 106 134 159 201 318 373 402 746 901 1119 1139 1802 2238 2278 2703 3417 3551 5406 6341 6834 7102 10653 12682 19023 19769 21306 24991 38046 39538 49982 59307 60367 74973 118614 120734 149946 181101 336073 362202 424847 672146 849694 1008219 1274541 1324523 2016438 2549082 2649046 3973569 7947138 22516891 45033782 67550673 135101346