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132321221030120 = 23542134913225061
BaseRepresentation
bin11110000101100001101111…
…011000000011000011101000
3122100111210012101220012011112
4132011201233120003003220
5114320422330040430440
61145231310232245452
736604615132003523
oct3605415730030350
9570453171805145
10132321221030120
1139186129734331
1212a108a5240888
1358aaab729b4c5
14249654a2bbbba
151046ea2c92965
hex78586f6030e8

132321221030120 has 64 divisors (see below), whose sum is σ = 298439801090640. Its totient is φ = 52801020518400.

The previous prime is 132321221030101. The next prime is 132321221030123. The reversal of 132321221030120 is 21030122123231.

It can be written as a sum of positive squares in 8 ways, for example, as 35067975799684 + 97253245230436 = 5921822^2 + 9861706^2 .

It is not an unprimeable number, because it can be changed into a prime (132321221030123) 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, 587822390 + ... + 588047450.

Almost surely, 2132321221030120 is an apocalyptic number.

132321221030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132321221030120 is an abundant number, since it is smaller than the sum of its proper divisors (166118580060520).

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

132321221030120 is a wasteful number, since it uses less digits than its factorization.

132321221030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260406 (or 260402 counting only the distinct ones).

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

Adding to 132321221030120 its reverse (21030122123231), we get a palindrome (153351343153351).

The spelling of 132321221030120 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, two hundred twenty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 421 842 1684 2105 3368 4210 8420 16840 34913 69826 139652 174565 225061 279304 349130 450122 698260 900244 1125305 1396520 1800488 2250610 4501220 9002440 14698373 29396746 58793492 73491865 94750681 117586984 146983730 189501362 293967460 379002724 473753405 587934920 758005448 947506810 1895013620 3790027240 7857554693 15715109386 31430218772 39287773465 62860437544 78575546930 157151093860 314302187720 3308030525753 6616061051506 13232122103012 16540152628765 26464244206024 33080305257530 66160610515060 132321221030120