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132020133102231 = 3119796774262003
BaseRepresentation
bin11110000001001001010101…
…001000110000001010010111
3122022110000001001211200220220
4132001021111020300022113
5114301004213033232411
61144441113433125423
736544065653564553
oct3601112510601227
9568400031750826
10132020133102231
113907a473418780
1212982477559873
1358885a2c579aa
142485b468a0863
15103e22ed34b06
hex781255230297

132020133102231 has 32 divisors (see below), whose sum is σ = 194029061845248. Its totient is φ = 79179132195840.

The previous prime is 132020133102203. The next prime is 132020133102233. The reversal of 132020133102231 is 132201331020231.

It is not a de Polignac number, because 132020133102231 - 218 = 132020132840087 is a prime.

It is a super-2 number, since 2×1320201331022312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020133102233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28845076 + ... + 33107078.

It is an arithmetic number, because the mean of its divisors is an integer number (6063408182664).

Almost surely, 2132020133102231 is an apocalyptic number.

132020133102231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132020133102231 is a deficient number, since it is larger than the sum of its proper divisors (62008928743017).

132020133102231 is a wasteful number, since it uses less digits than its factorization.

132020133102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271791.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132020133102231 its reverse (132201331020231), we get a palindrome (264221464122462).

The spelling of 132020133102231 in words is "one hundred thirty-two trillion, twenty billion, one hundred thirty-three million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 11 33 97 291 1067 3201 9677 29031 106447 319341 938669 2816007 4262003 10325359 12786009 30976077 46882033 140646099 413414291 1240242873 4547557201 13642671603 41243403031 123730209093 453677433341 1361032300023 4000610094007 12001830282021 44006711034077 132020133102231