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42132311402220 = 22355135312582293
BaseRepresentation
bin10011001010001101100010…
…11101000110011011101100
312112011210212020000111200000
421211012301131012123230
521010243433204332340
6225335152221504300
711605646644650114
oct1145066135063354
9175153766014600
1042132311402220
1112474238443756
124885635a12090
131a680a183b680
14a593013d0044
154d0e58932d30
hex2651b17466ec

42132311402220 has 288 divisors, whose sum is σ = 145422731668032. Its totient is φ = 10175349869568.

The previous prime is 42132311402183. The next prime is 42132311402261. The reversal of 42132311402220 is 2220411323124.

42132311402220 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 2 + 31 + 1 + 402 + 220 = 666.

42132311402220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 2942607 + ... + 9639686.

It is an arithmetic number, because the mean of its divisors is an integer number (504940040514).

Almost surely, 242132311402220 is an apocalyptic number.

It is an amenable number.

42132311402220 is an abundant number, since it is smaller than the sum of its proper divisors (103290420265812).

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

42132311402220 is a wasteful number, since it uses less digits than its factorization.

42132311402220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582383 (or 12582369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42132311402220 its reverse (2220411323124), we get a palindrome (44352722725344).

The spelling of 42132311402220 in words is "forty-two trillion, one hundred thirty-two billion, three hundred eleven million, four hundred two thousand, two hundred twenty".