Search a number
-
+
132002102112 = 25317557145213
BaseRepresentation
bin111101011101111110…
…0000011101101100000
3110121201110020120101220
41322323330003231200
54130320014231422
6140350235055040
712352064232516
oct1727374035540
9417643216356
10132002102112
1150a88822081
12216bb2a1480
13c5a890693a
1465633504b6
1536789dde5c
hex1ebbf03b60

132002102112 has 96 divisors (see below), whose sum is σ = 367549412832. Its totient is φ = 41337790464.

The previous prime is 132002102093. The next prime is 132002102119. The reversal of 132002102112 is 211201200231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 132002102091 and 132002102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836418 + ... + 981630.

It is an arithmetic number, because the mean of its divisors is an integer number (3828639717).

Almost surely, 2132002102112 is an apocalyptic number.

132002102112 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 132002102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183774706416).

132002102112 is an abundant number, since it is smaller than the sum of its proper divisors (235547310720).

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

132002102112 is a wasteful number, since it uses less digits than its factorization.

132002102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145800 (or 145792 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132002102112 its reverse (211201200231), we get a palindrome (343203302343).

The spelling of 132002102112 in words is "one hundred thirty-two billion, two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 557 816 1114 1632 1671 2228 3342 4456 6684 8912 9469 13368 17824 18938 26736 28407 37876 53472 56814 75752 113628 145213 151504 227256 290426 303008 435639 454512 580852 871278 909024 1161704 1742556 2323408 2468621 3485112 4646816 4937242 6970224 7405863 9874484 13940448 14811726 19748968 29623452 39497936 59246904 78995872 80883641 118493808 161767282 236987616 242650923 323534564 485301846 647069128 970603692 1294138256 1375021897 1941207384 2588276512 2750043794 3882414768 4125065691 5500087588 7764829536 8250131382 11000175176 16500262764 22000350352 33000525528 44000700704 66001051056 132002102112