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132115011252 = 223723106164451
BaseRepresentation
bin111101100001010101…
…0110001011010110100
3110122000022200221121220
41323002222301122310
54131032420330002
6140405351110340
712354635031630
oct1730252613264
9418008627556
10132115011252
1151036530414
12217310723b0
13c5c611a193
146574341dc0
1536838937bc
hex1ec2ab16b4

132115011252 has 96 divisors (see below), whose sum is σ = 367976577024. Its totient is φ = 36071376000.

The previous prime is 132115011239. The next prime is 132115011257. The reversal of 132115011252 is 252110511231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132115011257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017627 + ... + 2082077.

It is an arithmetic number, because the mean of its divisors is an integer number (3833089344).

Almost surely, 2132115011252 is an apocalyptic number.

132115011252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132115011252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183988288512).

132115011252 is an abundant number, since it is smaller than the sum of its proper divisors (235861565772).

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

132115011252 is a wasteful number, since it uses less digits than its factorization.

132115011252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65549 (or 65547 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 132115011252 its reverse (252110511231), we get a palindrome (384225522483).

The spelling of 132115011252 in words is "one hundred thirty-two billion, one hundred fifteen million, eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1061 1932 2122 3183 4244 6366 7427 12732 14854 22281 24403 29708 44562 48806 64451 73209 89124 97612 128902 146418 170821 193353 257804 292836 341642 386706 451157 512463 683284 773412 902314 1024926 1353471 1482373 1804628 2049852 2706942 2964746 4447119 5413884 5929492 8894238 10376611 17788476 20753222 31129833 41506444 62259666 68382511 124519332 136765022 205147533 273530044 410295066 478677577 820590132 957355154 1436032731 1572797753 1914710308 2872065462 3145595506 4718393259 5744130924 6291191012 9436786518 11009584271 18873573036 22019168542 33028752813 44038337084 66057505626 132115011252