Search a number
-
+
132102231231200 = 2552295694061691
BaseRepresentation
bin11110000010010101110010…
…100100010000101011100000
3122022201211221121221202210012
4132002111302210100223200
5114303330332143344300
61144542532141024052
736553033303301336
oct3602256244205340
9568654847852705
10132102231231200
11391012726a513a
1212996369b55028
135893257973b29
142489ad4159b56
1510414375eb435
hex782572910ae0

132102231231200 has 72 divisors (see below), whose sum is σ = 333615074534280. Its totient is φ = 51018792742400.

The previous prime is 132102231231197. The next prime is 132102231231241. The reversal of 132102231231200 is 2132132201231.

It is a super-2 number, since 2×1321022312312002 (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2847007646 + ... + 2847054045.

It is an arithmetic number, because the mean of its divisors is an integer number (4633542701865).

Almost surely, 2132102231231200 is an apocalyptic number.

132102231231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132102231231200 is an abundant number, since it is smaller than the sum of its proper divisors (201512843303080).

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

132102231231200 is a wasteful number, since it uses less digits than its factorization.

132102231231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694061740 (or 5694061727 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132102231231200 its reverse (2132132201231), we get a palindrome (134234363432431).

The spelling of 132102231231200 in words is "one hundred thirty-two trillion, one hundred two billion, two hundred thirty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 5694061691 11388123382 22776246764 28470308455 45552493528 56940616910 91104987056 113881233820 142351542275 165127789039 182209974112 227762467640 284703084550 330255578078 455524935280 569406169100 660511156156 825638945195 911049870560 1138812338200 1321022312312 1651277890390 2277624676400 2642044624624 3302555780780 4128194725975 4555249352800 5284089249248 6605111561560 8256389451950 13210223123120 16512778903900 26420446246240 33025557807800 66051115615600 132102231231200