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132002100232321 = 1128325751142771
BaseRepresentation
bin11110000000111000100010…
…010010110100000010000001
3122022101021111022210222212011
4132000320202102310002001
5114300210300124413241
61144424532214132521
736542560045662034
oct3600704222640201
9568337438728764
10132002100232321
113907285a325700
121297aa84351141
13588698ac89077
142484d1595901b
15103da26b37281
hex780e224b4081

132002100232321 has 24 divisors (see below), whose sum is σ = 147412698586272. Its totient is φ = 118094793062400.

The previous prime is 132002100232283. The next prime is 132002100232441. The reversal of 132002100232321 is 123232001200231.

It is not a de Polignac number, because 132002100232321 - 215 = 132002100199553 is a prime.

It is a super-3 number, since 3×1320021002323213 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132002100232292 and 132002100232301.

It is not an unprimeable number, because it can be changed into a prime (132002100232921) 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, 22990335 + ... + 28152436.

It is an arithmetic number, because the mean of its divisors is an integer number (6142195774428).

Almost surely, 2132002100232321 is an apocalyptic number.

132002100232321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132002100232321 is a deficient number, since it is larger than the sum of its proper divisors (15410598353951).

132002100232321 is a wasteful number, since it uses less digits than its factorization.

132002100232321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51143133 (or 51143122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132002100232321 its reverse (123232001200231), we get a palindrome (255234101432552).

The spelling of 132002100232321 in words is "one hundred thirty-two trillion, two billion, one hundred million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 83 121 257 913 2827 10043 21331 31097 234641 2581051 51142771 562570481 4244849993 6188275291 13143692147 46693349923 144580613617 513626849153 1090926448201 1590386749787 12000190930211 132002100232321