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132151232532 = 2231119409128831
BaseRepresentation
bin111101100010011010…
…0111100100000010100
3110122002211212011212210
41323010310330200110
54131121203420112
6140413123313420
712355554641214
oct1730464744024
9418084764783
10132151232532
1151054a1aa60
122174121b870
13c60078caa7
146579090244
153686b4ab3c
hex1ec4d3c814

132151232532 has 96 divisors (see below), whose sum is σ = 354957926400. Its totient is φ = 37845100800.

The previous prime is 132151232527. The next prime is 132151232533. The reversal of 132151232532 is 235232151231.

It is a super-3 number, since 3×1321512325323 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132151232532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132151232533) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 961357 + ... + 1090187.

It is an arithmetic number, because the mean of its divisors is an integer number (3697478400).

Almost surely, 2132151232532 is an apocalyptic number.

132151232532 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 132151232532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177478963200).

132151232532 is an abundant number, since it is smaller than the sum of its proper divisors (222806693868).

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

132151232532 is a wasteful number, since it uses less digits than its factorization.

132151232532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129277 (or 129275 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 132151232532 its reverse (235232151231), we get a palindrome (367383383763).

The spelling of 132151232532 in words is "one hundred thirty-two billion, one hundred fifty-one million, two hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 409 418 627 818 836 1227 1254 1636 2454 2508 4499 4908 7771 8998 13497 15542 17996 23313 26994 31084 46626 53988 85481 93252 128831 170962 256443 257662 341924 386493 512886 515324 772986 1025772 1417141 1545972 2447789 2834282 4251423 4895578 5668564 7343367 8502846 9791156 14686734 17005692 26925679 29373468 52691879 53851358 80777037 105383758 107702716 158075637 161554074 210767516 316151274 323108148 579610669 632302548 1001145701 1159221338 1738832007 2002291402 2318442676 3003437103 3477664014 4004582804 6006874206 6955328028 11012602711 12013748412 22025205422 33037808133 44050410844 66075616266 132151232532