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132224111002321 = 13139409178907767
BaseRepresentation
bin11110000100000111010011…
…001010101100001011010001
3122100011111112122020122111021
4132010013103022230023101
5114312324434404033241
61145114530143315441
736564606506252122
oct3604072312541321
9570144478218437
10132224111002321
1139148a26649108
12129b5b032abb81
1358a18ac42b3b0
142491976dc2049
1510446bc6160d1
hex7841d32ac2d1

132224111002321 has 16 divisors (see below), whose sum is σ = 143770282364800. Its totient is φ = 120878674282368.

The previous prime is 132224111002301. The next prime is 132224111002339. The reversal of 132224111002321 is 123200111422231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132224111002321 is a prime.

It is a super-3 number, since 3×1322241110023213 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132224111002301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88714821 + ... + 90192946.

It is an arithmetic number, because the mean of its divisors is an integer number (8985642647800).

Almost surely, 2132224111002321 is an apocalyptic number.

It is an amenable number.

132224111002321 is a deficient number, since it is larger than the sum of its proper divisors (11546171362479).

132224111002321 is a wasteful number, since it uses less digits than its factorization.

132224111002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178908328.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132224111002321 its reverse (123200111422231), we get a palindrome (255424222424552).

The spelling of 132224111002321 in words is "one hundred thirty-two trillion, two hundred twenty-four billion, one hundred eleven million, two thousand, three hundred twenty-one".

Divisors: 1 13 139 409 1807 5317 56851 739063 178907767 2325800971 24868179613 73173276703 323286334969 951252597139 10171085461717 132224111002321