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132202412001 = 32114216434933
BaseRepresentation
bin111101100011111100…
…0001011011111100001
3110122020102011100220200
41323013320023133201
54131222304141001
6140422152255413
712360045650412
oct1730770133741
9418212140820
10132202412001
11510808a6940
12217563a1569
13c60b26bcba
146581bb3809
15368b3aa086
hex1ec7e0b7e1

132202412001 has 48 divisors (see below), whose sum is σ = 209180916672. Its totient is φ = 79791868800.

The previous prime is 132202411997. The next prime is 132202412003. The reversal of 132202412001 is 100214202231.

It is a happy number.

132202412001 is a `hidden beast` number, since 1 + 3 + 220 + 241 + 200 + 1 = 666.

It is not a de Polignac number, because 132202412001 - 22 = 132202411997 is a prime.

It is a super-3 number, since 3×1322024120013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132202412003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26797131 + ... + 26802063.

It is an arithmetic number, because the mean of its divisors is an integer number (4357935764).

Almost surely, 2132202412001 is an apocalyptic number.

132202412001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132202412001 is a deficient number, since it is larger than the sum of its proper divisors (76978504671).

132202412001 is a wasteful number, since it uses less digits than its factorization.

132202412001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132202412001 its reverse (100214202231), we get a palindrome (232416614232).

It can be divided in two parts, 1322024 and 12001, that added together give a square (1334025 = 11552).

The spelling of 132202412001 in words is "one hundred thirty-two billion, two hundred two million, four hundred twelve thousand, one".

Divisors: 1 3 9 11 33 99 421 643 1263 1929 3789 4631 4933 5787 7073 13893 14799 21219 41679 44397 54263 63657 162789 270703 488367 812109 2076793 2436327 2977733 3171919 6230379 8933199 9515757 18691137 22844723 26799597 28547271 34891109 68534169 104673327 205602507 314019981 1335377899 4006133697 12018401091 14689156889 44067470667 132202412001