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132312220324011 = 3471337715167843
BaseRepresentation
bin11110000101011001010110…
…111001000101000010101011
3122100110220222010110221120000
4132011121112321011002223
5114320300411400332021
61145223221144034043
736604146110162040
oct3605312671050253
9570426863427500
10132312220324011
1139182330000642
1212a0abb2a62923
1358a9cb16319c0
142495d34b611c7
151046b279c6b26
hex785656e450ab

132312220324011 has 160 divisors (see below), whose sum is σ = 249876803033088. Its totient is φ = 67894319750400.

The previous prime is 132312220324003. The next prime is 132312220324013. The reversal of 132312220324011 is 110423022213231.

132312220324011 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 2 + 220 + 32 + 401 + 1 = 666.

It is not a de Polignac number, because 132312220324011 - 23 = 132312220324003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132312220324013) 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 159 ways as a sum of consecutive naturals, for example, 1950236856 + ... + 1950304698.

Almost surely, 2132312220324011 is an apocalyptic number.

132312220324011 is a deficient number, since it is larger than the sum of its proper divisors (117564582709077).

132312220324011 is a wasteful number, since it uses less digits than its factorization.

132312220324011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75063 (or 75054 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132312220324011 its reverse (110423022213231), we get a palindrome (242735242537242).

It can be divided in two parts, 132312220 and 324011, that added together give a palindrome (132636231).

The spelling of 132312220324011 in words is "one hundred thirty-two trillion, three hundred twelve billion, two hundred twenty million, three hundred twenty-four thousand, eleven".

Divisors: 1 3 7 9 13 21 27 37 39 63 81 91 111 117 189 259 273 333 351 481 567 777 819 999 1053 1443 2331 2457 2997 3367 4329 6993 7151 7371 10101 12987 20979 21453 30303 38961 50057 64359 67843 90909 92963 150171 193077 203529 264587 272727 278889 450513 474901 579231 610587 650741 793761 836667 881959 1351539 1424703 1831761 1852109 1952223 2381283 2510001 2510191 2645877 3439631 4054617 4274109 5495283 5556327 5856669 6173713 7143849 7530003 7530573 7937631 10318893 12822327 16668981 17570007 17571337 18521139 21431547 22591719 23812893 24077417 30956679 32632483 38466981 50006943 52710021 52714011 55563417 67775157 71438679 72232251 92870037 97897449 150020829 158142033 166690251 203325471 216696753 228427381 278610111 293692347 474426099 485145293 500070753 650090259 685282143 881077041 1423278297 1455435879 1950270777 2055846429 2643231123 3396017051 4366307637 6167539287 6306888809 10188051153 13098922911 17950375841 18502617861 18920666427 30564153459 39296768733 44148221663 53851127523 56761999281 91692460377 125652630887 132444664989 161553382569 170285997843 233354885933 275077381131 376957892661 397333994967 484660147707 510857993529 700064657799 1130873677983 1192001984901 1453980443121 1633484201531 2100193973397 3392621033949 3576005954703 4900452604593 6300581920191 10177863101847 14701357813779 18901745760573 44104073441337 132312220324011