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132103410516 = 223371115885451
BaseRepresentation
bin111101100000111111…
…0100001001101010100
3110121222111212120102000
41323001332201031110
54131021433114031
6140404254315300
712354434314350
oct1730176411524
9417874776360
10132103410516
115102aa27630
12217291b8b30
13c5c38b7b3c
1465729a2460
1536828513e6
hex1ec1fa1354

132103410516 has 96 divisors (see below), whose sum is σ = 427000949760. Its totient is φ = 34312572000.

The previous prime is 132103410503. The next prime is 132103410521. The reversal of 132103410516 is 615014301231.

It is a happy number.

132103410516 is a `hidden beast` number, since 1 + 3 + 2 + 103 + 41 + 0 + 516 = 666.

It is a super-2 number, since 2×1321034105162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132103410516.

It is a congruent number.

It is an unprimeable number.

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, 7934410 + ... + 7951041.

It is an arithmetic number, because the mean of its divisors is an integer number (4447926560).

Almost surely, 2132103410516 is an apocalyptic number.

It is an amenable number.

132103410516 is an abundant number, since it is smaller than the sum of its proper divisors (294897539244).

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

132103410516 is a wasteful number, since it uses less digits than its factorization.

132103410516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885482 (or 15885474 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 132103410516 its reverse (615014301231), we get a palindrome (747117711747).

The spelling of 132103410516 in words is "one hundred thirty-two billion, one hundred three million, four hundred ten thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 15885451 31770902 47656353 63541804 95312706 111198157 142969059 174739961 190625412 222396314 285938118 333594471 349479922 428907177 444792628 524219883 571876236 667188942 698959844 857814354 1000783413 1048439766 1223179727 1334377884 1572659649 1715628708 2001566826 2096879532 2446359454 3002350239 3145319298 3669539181 4003133652 4717978947 4892718908 6004700478 6290638596 7339078362 9435957894 11008617543 12009400956 14678156724 18871915788 22017235086 33025852629 44034470172 66051705258 132103410516