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132001302012 = 223192353474941
BaseRepresentation
bin111101011101111100…
…1000000010111111100
3110121201101201220212120
41322323321000113330
54130314313131022
6140350210002540
712352054361046
oct1727371002774
9417641656776
10132001302012
1150a88325a38
12216bab76450
13c5a86b66c8
1465631c2a96
1536788d1d5c
hex1ebbe405fc

132001302012 has 96 divisors (see below), whose sum is σ = 344693905920. Its totient is φ = 39119857920.

The previous prime is 132001301981. The next prime is 132001302019. The reversal of 132001302012 is 210203100231.

132001302012 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132001301982 and 132001302000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001302019) 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, 40462 + ... + 515402.

It is an arithmetic number, because the mean of its divisors is an integer number (3590561520).

Almost surely, 2132001302012 is an apocalyptic number.

132001302012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132001302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346952960).

132001302012 is an abundant number, since it is smaller than the sum of its proper divisors (212692603908).

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

132001302012 is a wasteful number, since it uses less digits than its factorization.

132001302012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475043 (or 475041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132001302012 its reverse (210203100231), we get a palindrome (342204402243).

The spelling of 132001302012 in words is "one hundred thirty-two billion, one million, three hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 53 57 69 76 92 106 114 138 159 212 228 276 318 437 636 874 1007 1219 1311 1748 2014 2438 2622 3021 3657 4028 4876 5244 6042 7314 12084 14628 23161 46322 69483 92644 138966 277932 474941 949882 1424823 1899764 2849646 5699292 9023879 10923643 18047758 21847286 25171873 27071637 32770929 36095516 43694572 50343746 54143274 65541858 75515619 100687492 108286548 131083716 151031238 207549217 302062476 415098434 478265587 578953079 622647651 830196868 956531174 1157906158 1245295302 1434796761 1736859237 1913062348 2315812316 2490590604 2869593522 3473718474 5739187044 6947436948 11000108501 22000217002 33000325503 44000434004 66000651006 132001302012