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132033363330231 = 32112688317614813
BaseRepresentation
bin11110000001010101101001…
…101110000100010010110111
3122022111021012002211220211100
4132001111221232010102313
5114301213312003031411
61144451142330541143
736545044553635056
oct3601255156042267
9568437162756740
10132033363330231
1139085042551900
1212984b4a2977b3
135889900c3867c
14248663da3a39d
15103e7565b2456
hex781569b844b7

132033363330231 has 36 divisors (see below), whose sum is σ = 209659196286904. Its totient is φ = 80008589881440.

The previous prime is 132033363330173. The next prime is 132033363330251.

132033363330231 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 33 + 63 + 330 + 231 = 666.

132033363330231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132033363330231 - 214 = 132033363313847 is a prime.

It is a super-2 number, since 2×1320333633302312 (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 (132033363330251) 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, 1311820 + ... + 16302993.

Almost surely, 2132033363330231 is an apocalyptic number.

132033363330231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132033363330231 is a deficient number, since it is larger than the sum of its proper divisors (77625832956673).

132033363330231 is a wasteful number, since it uses less digits than its factorization.

132033363330231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17621724 (or 17621710 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 36.

The spelling of 132033363330231 in words is "one hundred thirty-two trillion, thirty-three billion, three hundred sixty-three million, three hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 6883 20649 61947 75713 227139 681417 832843 2498529 7495587 17614813 52844439 158533317 193762943 581288829 1743866487 2131392373 6394177119 19182531357 121242757879 363728273637 1091184820911 1333670336669 4001011010007 12003033030021 14670373703359 44011121110077 132033363330231