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132232231100112 = 243111379243855727
BaseRepresentation
bin11110000100001110110111…
…001010011001111011010000
3122100012021111112122100120220
4132010032313022121323100
5114312443102130200422
61145122352013233040
736565314646041453
oct3604166712317320
9570167445570526
10132232231100112
1139151413194830
12129b75aa792780
1358a25a4800aa0
1424921075cd49a
1510449e5435e5c
hex7843b7299ed0

132232231100112 has 160 divisors (see below), whose sum is σ = 406400202055680. Its totient is φ = 36519833525760.

The previous prime is 132232231100111. The next prime is 132232231100141. The reversal of 132232231100112 is 211001132232231.

132232231100112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232231100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121385608 + ... + 122470119.

It is an arithmetic number, because the mean of its divisors is an integer number (2540001262848).

Almost surely, 2132232231100112 is an apocalyptic number.

132232231100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132232231100112 is an abundant number, since it is smaller than the sum of its proper divisors (274167970955568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132232231100112 is a wasteful number, since it uses less digits than its factorization.

132232231100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243855841 (or 243855835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132232231100112 its reverse (211001132232231), we get a palindrome (343233363332343).

The spelling of 132232231100112 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, two hundred thirty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 79 88 104 132 143 156 158 176 208 237 264 286 312 316 429 474 528 572 624 632 858 869 948 1027 1144 1264 1716 1738 1896 2054 2288 2607 3081 3432 3476 3792 4108 5214 6162 6864 6952 8216 10428 11297 12324 13904 16432 20856 22594 24648 33891 41712 45188 49296 67782 90376 135564 180752 271128 542256 243855727 487711454 731567181 975422908 1463134362 1950845816 2682412997 2926268724 3170124451 3901691632 5364825994 5852537448 6340248902 8047238991 9510373353 10729651988 11705074896 12680497804 16094477982 19020746706 19264602433 21459303976 25360995608 32188955964 34871368961 38041493412 38529204866 42918607952 50721991216 57793807299 64377911928 69742737922 76082986824 77058409732 104614106883 115587614598 128755823856 139485475844 152165973648 154116819464 209228213766 211910626763 231175229196 250439831629 278970951688 308233638928 418456427532 423821253526 462350458392 500879663258 557941903376 635731880289 751319494887 836912855064 847642507052 924700916784 1001759326516 1271463760578 1502638989774 1673825710128 1695285014104 2003518653032 2542927521156 2754838147919 3005277979548 3390570028208 4007037306064 5085855042312 5509676295838 6010555959096 8264514443757 10171710084624 11019352591676 12021111918192 16529028887514 22038705183352 33058057775028 44077410366704 66116115550056 132232231100112