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132040222041 = 3721325314987
BaseRepresentation
bin111101011111000110…
…1011110010101011001
3110121211002222021010010
41322332031132111121
54130404244101131
6140354120112133
712353036240400
oct1727615362531
9417732867103
10132040222041
1150aa8299152
1221710005649
13c5b3792800
146568434637
15367c01db46
hex1ebe35e559

132040222041 has 36 divisors (see below), whose sum is σ = 221762559312. Its totient is φ = 69647576544.

The previous prime is 132040222019. The next prime is 132040222057. The reversal of 132040222041 is 140222040231.

It is not a de Polignac number, because 132040222041 - 29 = 132040221529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132040221999 and 132040222017.

It is not an unprimeable number, because it can be changed into a prime (132040222081) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2632651 + ... + 2682336.

It is an arithmetic number, because the mean of its divisors is an integer number (6160071092).

Almost surely, 2132040222041 is an apocalyptic number.

It is an amenable number.

132040222041 is a deficient number, since it is larger than the sum of its proper divisors (89722337271).

132040222041 is a wasteful number, since it uses less digits than its factorization.

132040222041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315030 (or 5315010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 132040222041 its reverse (140222040231), we get a palindrome (272262262272).

The spelling of 132040222041 in words is "one hundred thirty-two billion, forty million, two hundred twenty-two thousand, forty-one".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 3549 8281 24843 5314987 15944961 37204909 69094831 111614727 207284493 260434363 483663817 781303089 898232803 1450991451 2694698409 3385646719 6287629621 10156940157 18862888863 44013407347 132040222041