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132030120121020 = 22325111941238135951
BaseRepresentation
bin11110000001010010101000…
…011010001101001010111100
3122022110221211002011211011200
4132001102220122031022330
5114301140141222333040
61144445444433415500
736544601313052452
oct3601225032151274
9568427732154150
10132030120121020
1139083728876810
12129843a410a590
13588950504b674
1424864130049d2
15103e6169cb630
hex7814a868d2bc

132030120121020 has 576 divisors, whose sum is σ = 471322298603520. Its totient is φ = 29569881600000.

The previous prime is 132030120120961. The next prime is 132030120121051. The reversal of 132030120121020 is 20121021030231.

132030120121020 is a `hidden beast` number, since 1 + 320 + 301 + 2 + 0 + 1 + 21 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132030120120984 and 132030120121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3672484045 + ... + 3672519995.

It is an arithmetic number, because the mean of its divisors is an integer number (818267879520).

Almost surely, 2132030120121020 is an apocalyptic number.

132030120121020 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 132030120121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235661149301760).

132030120121020 is an abundant number, since it is smaller than the sum of its proper divisors (339292178482500).

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

132030120121020 is a wasteful number, since it uses less digits than its factorization.

132030120121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38418 (or 38413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132030120121020 its reverse (20121021030231), we get a palindrome (152151141151251).

The spelling of 132030120121020 in words is "one hundred thirty-two trillion, thirty billion, one hundred twenty million, one hundred twenty-one thousand, twenty".