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132340132112100 = 223521125476664961
BaseRepresentation
bin11110000101110011010110…
…100100000110011011100100
3122100120121000100102200201020
4132011303112210012123210
5114321230042310041400
61145244114542331140
736606154562361363
oct3605632644063344
9570517010380636
10132340132112100
1139193153528100
1212a144a2589ab0
1358ac80c1a5643
142497421b0b7da
15104770d1162a0
hex785cd69066e4

132340132112100 has 216 divisors, whose sum is σ = 421647570474144. Its totient is φ = 32023799808000.

The previous prime is 132340132112081. The next prime is 132340132112119. The reversal of 132340132112100 is 1211231043231.

It is an interprime number because it is at equal distance from previous prime (132340132112081) and next prime (132340132112119).

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 71 ways as a sum of consecutive naturals, for example, 16523620 + ... + 23188580.

Almost surely, 2132340132112100 is an apocalyptic number.

132340132112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132340132112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210823785237072).

132340132112100 is an abundant number, since it is smaller than the sum of its proper divisors (289307438362044).

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

132340132112100 is a wasteful number, since it uses less digits than its factorization.

132340132112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665547 (or 6665529 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132340132112100 its reverse (1211231043231), we get a palindrome (133551363155331).

The spelling of 132340132112100 in words is "one hundred thirty-two trillion, three hundred forty billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".