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132340341300 = 223521451304021
BaseRepresentation
bin111101101000000011…
…0010101101000110100
3110122121000200220100020
41323100012111220310
54132013111410200
6140444000445140
712363342224556
oct1732006255064
9418530626306
10132340341300
11511417441a2
12217946197b0
13c630a0297b
1465962394d6
153698552ea0
hex1ed0195a34

132340341300 has 72 divisors (see below), whose sum is σ = 383169871392. Its totient is φ = 35266320000.

The previous prime is 132340341293. The next prime is 132340341307. The reversal of 132340341300 is 3143043231.

It is an interprime number because it is at equal distance from previous prime (132340341293) and next prime (132340341307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132340341307) 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 23 ways as a sum of consecutive naturals, for example, 283290 + ... + 587310.

Almost surely, 2132340341300 is an apocalyptic number.

132340341300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132340341300 is an abundant number, since it is smaller than the sum of its proper divisors (250829530092).

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

132340341300 is a wasteful number, since it uses less digits than its factorization.

132340341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305489 (or 305482 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132340341300 its reverse (3143043231), we get a palindrome (135483384531).

The spelling of 132340341300 in words is "one hundred thirty-two billion, three hundred forty million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1451 2902 4353 5804 7255 8706 14510 17412 21765 29020 36275 43530 72550 87060 108825 145100 217650 304021 435300 608042 912063 1216084 1520105 1824126 3040210 3648252 4560315 6080420 7600525 9120630 15201050 18241260 22801575 30402100 45603150 91206300 441134471 882268942 1323403413 1764537884 2205672355 2646806826 4411344710 5293613652 6617017065 8822689420 11028361775 13234034130 22056723550 26468068260 33085085325 44113447100 66170170650 132340341300