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132331102211 = 721117711071901
BaseRepresentation
bin111101100111110001…
…1000110000000000011
3110122120101022111200202
41323033203012000003
54132003230232321
6140443030435415
712363200544500
oct1731743060003
9418511274622
10132331102211
1151137503790
1221791502b6b
13c62bb19559
146594d124a7
15369782a70b
hex1ecf8c6003

132331102211 has 96 divisors (see below), whose sum is σ = 182093889024. Its totient is φ = 94738560000.

The previous prime is 132331102193. The next prime is 132331102217. The reversal of 132331102211 is 112201133231.

It is a happy number.

It is not a de Polignac number, because 132331102211 - 222 = 132326907907 is a prime.

It is a super-2 number, since 2×1323311022112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132331102217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69610361 + ... + 69612261.

It is an arithmetic number, because the mean of its divisors is an integer number (1896811344).

Almost surely, 2132331102211 is an apocalyptic number.

132331102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132331102211 is a deficient number, since it is larger than the sum of its proper divisors (49762786813).

132331102211 is a wasteful number, since it uses less digits than its factorization.

132331102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132331102211 its reverse (112201133231), we get a palindrome (244532235442).

The spelling of 132331102211 in words is "one hundred thirty-two billion, three hundred thirty-one million, one hundred two thousand, two hundred eleven".

Divisors: 1 7 11 17 49 71 77 107 119 187 497 539 749 781 833 1177 1207 1309 1819 1901 3479 5243 5467 7597 8239 8449 9163 12733 13277 13307 20009 20911 32317 38269 53179 57673 59143 83567 89131 92939 93149 129149 134971 140063 146377 203407 226219 355487 372253 584969 650573 904043 944797 980441 1024639 1420639 1423849 1484681 1583533 2237477 2294507 2488409 3457919 4094783 6328301 6613579 9944473 9966943 10392767 14441897 15662339 16061549 17418863 24205433 25239577 38037109 69611311 72749369 101093279 109636373 112430843 158860867 169438031 176677039 245512249 266259763 707652953 1112026069 1236739273 1718585743 1863818341 2700634739 7784182483 12030100201 18904443173 132331102211