Search a number
-
+
132301420400 = 24521283257797
BaseRepresentation
bin111101100110111000…
…1110111011101110000
3110122111022110111220102
41323031301313131300
54131423130423100
6140440050331532
712362360342552
oct1731561673560
9418438414812
10132301420400
1151121780366
1221783589ba8
13c625926356
146590dc74d2
153694e15cd5
hex1ecdc77770

132301420400 has 60 divisors (see below), whose sum is σ = 318103139352. Its totient is φ = 52879115520.

The previous prime is 132301420399. The next prime is 132301420429. The reversal of 132301420400 is 4024103231.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 384302 + ... + 642098.

Almost surely, 2132301420400 is an apocalyptic number.

132301420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132301420400 is an abundant number, since it is smaller than the sum of its proper divisors (185801718952).

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

132301420400 is a wasteful number, since it uses less digits than its factorization.

132301420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259098 (or 259087 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132301420400 its reverse (4024103231), we get a palindrome (136325523631).

The spelling of 132301420400 in words is "one hundred thirty-two billion, three hundred one million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1283 2566 5132 6415 10264 12830 20528 25660 32075 51320 64150 102640 128300 256600 257797 513200 515594 1031188 1288985 2062376 2577970 4124752 5155940 6444925 10311880 12889850 20623760 25779700 51559400 103118800 330753551 661507102 1323014204 1653767755 2646028408 3307535510 5292056816 6615071020 8268838775 13230142040 16537677550 26460284080 33075355100 66150710200 132301420400