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132301213330020 = 22357701928348407
BaseRepresentation
bin11110000101001111000110…
…110100101110101001100100
3122100102212120000212201100220
4132011033012310232221210
5114320110341103030040
61145214201030004340
736603306254236410
oct3605170664565144
9570385500781326
10132301213330020
11391786a1926099
1212a08a407a66b0
1358a8c49128ac7
1424955acd8dd40
1510466d15052d0
hex7853c6d2ea64

132301213330020 has 192 divisors, whose sum is σ = 424022256193536. Its totient is φ = 30193261862400.

The previous prime is 132301213330003. The next prime is 132301213330051. The reversal of 132301213330020 is 20033312103231.

It is a super-2 number, since 2×1323012133300202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2733076657 + ... + 2733125063.

It is an arithmetic number, because the mean of its divisors is an integer number (2208449251008).

Almost surely, 2132301213330020 is an apocalyptic number.

132301213330020 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 132301213330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212011128096768).

132301213330020 is an abundant number, since it is smaller than the sum of its proper divisors (291721042863516).

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

132301213330020 is a wasteful number, since it uses less digits than its factorization.

132301213330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58410 (or 58408 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132301213330020 its reverse (20033312103231), we get a palindrome (152334525433251).

The spelling of 132301213330020 in words is "one hundred thirty-two trillion, three hundred one billion, two hundred thirteen million, three hundred thirty thousand, twenty".