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132121012014 = 232294743312437
BaseRepresentation
bin111101100001100000…
…1101010011100101110
3110122000201222211010100
41323003001222130232
54131040434341024
6140410123451530
712355040033565
oct1730301523456
9418021884110
10132121012014
1151039959922
1221733086ba6
13c5c743b624
146575064bdc
15368417b7c9
hex1ec306a72e

132121012014 has 96 divisors (see below), whose sum is σ = 303156846720. Its totient is φ = 41517536256.

The previous prime is 132121012003. The next prime is 132121012019. The reversal of 132121012014 is 410210121231.

132121012014 is a `hidden beast` number, since 1 + 321 + 210 + 120 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10617004 + ... + 10629440.

It is an arithmetic number, because the mean of its divisors is an integer number (3157883820).

Almost surely, 2132121012014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121012014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151578423360).

132121012014 is an abundant number, since it is smaller than the sum of its proper divisors (171035834706).

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

132121012014 is a wasteful number, since it uses less digits than its factorization.

132121012014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12954 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132121012014 its reverse (410210121231), we get a palindrome (542331133245).

The spelling of 132121012014 in words is "one hundred thirty-two billion, one hundred twenty-one million, twelve thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 433 522 846 866 1299 1363 2598 2726 3897 4089 7794 8178 12267 12437 12557 20351 24534 24874 25114 37311 37671 40702 61053 74622 75342 111933 113013 122106 183159 223866 226026 360673 366318 584539 590179 721346 1082019 1169078 1180358 1753617 1770537 2164038 3246057 3507234 3541074 5260851 5311611 5385221 6492114 10521702 10623222 10770442 16155663 16951631 32311326 33903262 48466989 50854893 96933978 101709786 152564679 156171409 253105387 305129358 312342818 468514227 506210774 759316161 937028454 1405542681 1518632322 2277948483 2811085362 4555896966 7340056223 14680112446 22020168669 44040337338 66060506007 132121012014