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132303003012 = 223219226985247
BaseRepresentation
bin111101100110111011…
…1111001110110000100
3110122111102102220211200
41323031313321312010
54131424032044022
6140440144302500
712362406653565
oct1731567716604
9418442386750
10132303003012
1151122661404
1221784011a30
13c62605b7cb
1465912ba16c
153695129bac
hex1ecddf9d84

132303003012 has 72 divisors (see below), whose sum is σ = 352193587200. Its totient is φ = 41760992448.

The previous prime is 132303002987. The next prime is 132303003061. The reversal of 132303003012 is 210300303231.

132303003012 is a `hidden beast` number, since 1 + 32 + 30 + 300 + 301 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509373 + ... + 1594619.

It is an arithmetic number, because the mean of its divisors is an integer number (4891577600).

Almost surely, 2132303003012 is an apocalyptic number.

132303003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132303003012 is an abundant number, since it is smaller than the sum of its proper divisors (219890584188).

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

132303003012 is a wasteful number, since it uses less digits than its factorization.

132303003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87545 (or 87540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132303003012 its reverse (210300303231), we get a palindrome (342603306243).

The spelling of 132303003012 in words is "one hundred thirty-two billion, three hundred three million, three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2269 4538 6807 9076 13614 20421 27228 40842 43111 81684 85247 86222 129333 170494 172444 255741 258666 340988 387999 511482 517332 767223 775998 1022964 1534446 1551996 1619693 3068892 3239386 4859079 6478772 9718158 14577237 19436316 29154474 58308948 193425443 386850886 580276329 773701772 1160552658 1740828987 2321105316 3481657974 3675083417 6963315948 7350166834 11025250251 14700333668 22050500502 33075750753 44101001004 66151501506 132303003012