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132233323332231 = 32112606720014237
BaseRepresentation
bin11110000100001111111000…
…010000111100001010000111
3122100012101022122212111101100
4132010033320100330022013
5114313002321233112411
61145123052231431143
736565354010622612
oct3604177020741207
9570171278774340
10132233323332231
1139151923783a00
12129b78545254b3
1358a2719b91b94
1424921ac6a9179
151044a5b285456
hex7843f843c287

132233323332231 has 36 divisors (see below), whose sum is σ = 209980819002136. Its totient is φ = 80128194680160.

The previous prime is 132233323332197. The next prime is 132233323332241.

It is a happy number.

132233323332231 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 3 + 323 + 3 + 322 + 3 + 1 = 666.

132233323332231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132233323332231 - 26 = 132233323332167 is a prime.

It is a super-2 number, since 2×1322333233322312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233323332241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3400156 + ... + 16614081.

Almost surely, 2132233323332231 is an apocalyptic number.

132233323332231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132233323332231 is a deficient number, since it is larger than the sum of its proper divisors (77747495669905).

132233323332231 is a wasteful number, since it uses less digits than its factorization.

132233323332231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20020332 (or 20020318 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 132233323332231 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 6067 18201 54603 66737 200211 600633 734107 2202321 6606963 20014237 60042711 180128133 220156607 660469821 1981409463 2421722677 7265168031 21795504093 121426375879 364279127637 1092837382911 1335690134669 4007070404007 12021211212021 14692591481359 44077774444077 132233323332231