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132132121002 = 232721719463807
BaseRepresentation
bin111101100001110110…
…0000010100110101010
3110122001111220012210100
41323003230002212222
54131101310333002
6140411201530230
712355233332400
oct1730354024652
9418044805710
10132132121002
1151045157202
1221736943976
13c5c982abab
146576717470
15368512311c
hex1ec3b029aa

132132121002 has 144 divisors (see below), whose sum is σ = 371176266240. Its totient is φ = 33661184256.

The previous prime is 132132121001. The next prime is 132132121027. The reversal of 132132121002 is 200121231231.

132132121002 is a `hidden beast` number, since 1 + 321 + 321 + 21 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132132121001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52983 + ... + 516789.

It is an arithmetic number, because the mean of its divisors is an integer number (2577612960).

Almost surely, 2132132121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185588133120).

132132121002 is an abundant number, since it is smaller than the sum of its proper divisors (239044145238).

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

132132121002 is a wasteful number, since it uses less digits than its factorization.

132132121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463865 (or 463855 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132132121002 its reverse (200121231231), we get a palindrome (332253352233).

The spelling of 132132121002 in words is "one hundred thirty-two billion, one hundred thirty-two million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 49 51 57 63 98 102 114 119 126 133 147 153 171 238 266 294 306 323 342 357 399 441 646 714 798 833 882 931 969 1071 1197 1666 1862 1938 2142 2261 2394 2499 2793 2907 4522 4998 5586 5814 6783 7497 8379 13566 14994 15827 16758 20349 31654 40698 47481 94962 142443 284886 463807 927614 1391421 2782842 3246649 4174263 6493298 7884719 8348526 8812333 9739947 15769438 17624666 19479894 22726543 23654157 26436999 29219841 45453086 47308314 52873998 55193033 58439682 61686331 68179629 70962471 79310997 110386066 123372662 136359258 141924942 149809661 158621994 165579099 185058993 204538887 299619322 331158198 370117986 386351231 409077774 431804317 449428983 496737297 555176979 772702462 863608634 898857966 993474594 1048667627 1110353958 1159053693 1295412951 1348286949 2097335254 2318107386 2590825902 2696573898 3146002881 3477161079 3886238853 6292005762 6954322158 7340673389 7772477706 9438008643 14681346778 18876017286 22022020167 44044040334 66066060501 132132121002