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132220220132 = 227112133002003
BaseRepresentation
bin111101100100011110…
…0000111001011100100
3110122021122200010002002
41323020330013023210
54131241334021012
6140424030104432
712360353220230
oct1731074071344
9418248603062
10132220220132
115108a95a400
122176034b118
13c611b65860
1465842cb5c0
15368cc267c2
hex1ec8f072e4

132220220132 has 72 divisors (see below), whose sum is σ = 313024961088. Its totient is φ = 47551711680.

The previous prime is 132220220113. The next prime is 132220220203. The reversal of 132220220132 is 231022022231.

It is a happy number.

It is a super-2 number, since 2×1322202201322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1456958 + ... + 1545045.

It is an arithmetic number, because the mean of its divisors is an integer number (4347568904).

Almost surely, 2132220220132 is an apocalyptic number.

It is an amenable number.

132220220132 is an abundant number, since it is smaller than the sum of its proper divisors (180804740956).

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

132220220132 is a wasteful number, since it uses less digits than its factorization.

132220220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002049 (or 3002036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132220220132 its reverse (231022022231), we get a palindrome (363242242363).

The spelling of 132220220132 in words is "one hundred thirty-two billion, two hundred twenty million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 3002003 6004006 12008012 21014021 33022033 39026039 42028042 66044066 78052078 84056084 132088132 156104156 231154231 273182273 363242363 429286429 462308462 546364546 726484726 858572858 924616924 1092729092 1452969452 1717145716 2542696541 3005005003 4722150719 5085393082 6010010006 9444301438 10170786164 12020020012 18888602876 33055055033 66110110066 132220220132