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132221112023 = 71121323598849
BaseRepresentation
bin111101100100011111…
…1100000111011010111
3110122021201100102112002
41323020333200323113
54131242101041043
6140424101145515
712360363623420
oct1731077407327
9418251312462
10132221112023
1151090409500
12217606bb29b
13c6120b87c0
146584480647
15368cd50bb8
hex1ec8fe0ed7

132221112023 has 96 divisors (see below), whose sum is σ = 189834624000. Its totient is φ = 89417180160.

The previous prime is 132221112019. The next prime is 132221112047. The reversal of 132221112023 is 320211122231.

It is not a de Polignac number, because 132221112023 - 22 = 132221112019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132221111986 and 132221112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221112623) 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 95 ways as a sum of consecutive naturals, for example, 14937503 + ... + 14946351.

It is an arithmetic number, because the mean of its divisors is an integer number (1977444000).

Almost surely, 2132221112023 is an apocalyptic number.

132221112023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132221112023 is a deficient number, since it is larger than the sum of its proper divisors (57613511977).

132221112023 is a wasteful number, since it uses less digits than its factorization.

132221112023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132221112023 its reverse (320211122231), we get a palindrome (452432234254).

The spelling of 132221112023 in words is "one hundred thirty-two billion, two hundred twenty-one million, one hundred twelve thousand, twenty-three".

Divisors: 1 7 11 13 23 59 77 91 121 143 161 253 299 413 649 767 847 1001 1357 1573 1771 2093 2783 3289 4543 5369 7139 8437 8849 9499 11011 14927 17641 19481 23023 36179 49973 59059 61943 92807 97339 104489 115037 123487 164197 194051 203527 253253 522091 649649 681373 805259 1070729 1149379 1265407 1358357 1424689 2134561 2238797 2645851 3654637 5743001 6787183 7495103 8857849 12008093 13919477 14941927 15671579 18520957 24626767 29104361 40201007 47510281 63173011 74659013 84056651 97436339 132089023 156105209 172387369 203730527 320147971 442211077 522613091 821249143 924623161 1092736463 1452979253 1717157299 2241035797 5748744001 10170854771 12020101093 18888730289 132221112023