Search a number
-
+
132132101231032 = 2376742618264831
BaseRepresentation
bin11110000010110001100110…
…111101010001000110111000
3122022211201001022121222110021
4132002301212331101012320
5114304323020403343112
61145004352130500224
736555141434146060
oct3602614675210670
9568751038558407
10132132101231032
1139112a00517111
12129a0105434674
135896008120346
14248b3292043a0
1510420d4ae6907
hex782c66f511b8

132132101231032 has 64 divisors (see below), whose sum is σ = 287433666109440. Its totient is φ = 55769750467200.

The previous prime is 132132101230981. The next prime is 132132101231071. The reversal of 132132101231032 is 230132101231231.

It is a junction number, because it is equal to n+sod(n) for n = 132132101230988 and 132132101231006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11854857 + ... + 20119687.

It is an arithmetic number, because the mean of its divisors is an integer number (4491151032960).

Almost surely, 2132132101231032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132101231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143716833054720).

132132101231032 is an abundant number, since it is smaller than the sum of its proper divisors (155301564878408).

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

132132101231032 is a wasteful number, since it uses less digits than its factorization.

132132101231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269172 (or 8269168 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 132132101231032 its reverse (230132101231231), we get a palindrome (362264202462263).

The spelling of 132132101231032 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3752 4261 8522 17044 29827 34088 59654 119308 238616 285487 570974 1141948 1998409 2283896 3996818 7993636 8264831 15987272 16529662 33059324 57853817 66118648 115707634 231415268 462830536 553743677 1107487354 2214974708 3876205739 4429949416 7752411478 15504822956 31009645912 35216444891 70432889782 140865779564 246515114237 281731559128 493030228474 986060456948 1972120913896 2359501807697 4719003615394 9438007230788 16516512653879 18876014461576 33033025307758 66066050615516 132132101231032