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132506226132201 = 32353230531809221
BaseRepresentation
bin11110001000001110000010…
…100010100000010011101001
3122101011110201201122010201100
4132020032002202200103221
5114331440222342212301
61145452304145512013
736624154544301135
oct3610160242402351
9571143651563640
10132506226132201
1139247636248809
1212a40717042609
1358c238bb399cc
1424a149ab063c5
15104bbceaae286
hex7883828a04e9

132506226132201 has 24 divisors (see below), whose sum is σ = 191948517952776. Its totient is φ = 88083366497280.

The previous prime is 132506226132199. The next prime is 132506226132221. The reversal of 132506226132201 is 102231622605231.

132506226132201 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 622 + 6 + 1 + 3 + 2 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77093685650601 + 55412540481600 = 8780301^2 + 7443960^2 .

It is not a de Polignac number, because 132506226132201 - 21 = 132506226132199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132506226132221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72334771 + ... + 74143991.

It is an arithmetic number, because the mean of its divisors is an integer number (7997854914699).

Almost surely, 2132506226132201 is an apocalyptic number.

It is an amenable number.

132506226132201 is a deficient number, since it is larger than the sum of its proper divisors (59442291820575).

132506226132201 is a wasteful number, since it uses less digits than its factorization.

132506226132201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832633 (or 1832630 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 132506226132201 its reverse (102231622605231), we get a palindrome (234737848737432).

The spelling of 132506226132201 in words is "one hundred thirty-two trillion, five hundred six billion, two hundred twenty-six million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 353 1059 3177 23053 69159 207477 1809221 5427663 8137709 16282989 24413127 73239381 638655013 1915965039 5747895117 41707971713 125123915139 375371745417 14722914014689 44168742044067 132506226132201