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132302020004 = 227112131298093
BaseRepresentation
bin111101100110111010…
…0001001110110100100
3110122111100120222101222
41323031310021312210
54131423304120004
6140440111235512
712362365420640
oct1731564116644
9418440528358
10132302020004
115112204a900
1221783818b98
13c625aa624b
146591101c20
153694ed37be
hex1ecdd09da4

132302020004 has 72 divisors (see below), whose sum is σ = 293066942784. Its totient is φ = 51152587200.

The previous prime is 132302020001. The next prime is 132302020031. The reversal of 132302020004 is 400020203231.

It is not an unprimeable number, because it can be changed into a prime (132302020001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294782 + ... + 592874.

Almost surely, 2132302020004 is an apocalyptic number.

132302020004 is a gapful number since it is divisible by the number (14) 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 132302020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146533471392).

132302020004 is an abundant number, since it is smaller than the sum of its proper divisors (160764922780).

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

132302020004 is a wasteful number, since it uses less digits than its factorization.

132302020004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298257 (or 298244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 132302020004 its reverse (400020203231), we get a palindrome (532322223235).

The spelling of 132302020004 in words is "one hundred thirty-two billion, three hundred two million, twenty thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 131 154 242 262 308 484 524 847 917 1441 1694 1834 2882 3388 3668 5764 10087 15851 20174 31702 40348 63404 110957 221914 298093 443828 596186 1192372 2086651 3279023 4173302 6558046 8346604 13116092 22953161 36069253 39050183 45906322 72138506 78100366 91812644 144277012 156200732 252484771 273351281 429552013 504969542 546702562 859104026 1009939084 1093405124 1718208052 3006864091 4725072143 6013728182 9450144286 12027456364 18900288572 33075505001 66151010002 132302020004