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132223133322 = 23471031113093
BaseRepresentation
bin111101100100100011…
…1001110011010001010
3110122021212011010020000
41323021013032122022
54131243110231242
6140424212343430
712360420042420
oct1731107163212
9418255133200
10132223133322
115109156a0a5
1221761314b76
13c612645837
146584849110
15368d0eea4c
hex1ec91ce68a

132223133322 has 80 divisors (see below), whose sum is σ = 338934575232. Its totient is φ = 37741062240.

The previous prime is 132223133297. The next prime is 132223133359. The reversal of 132223133322 is 223331322231.

132223133322 is a `hidden beast` number, since 1 + 3 + 2 + 22 + 313 + 3 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 1112608 + ... + 1225700.

Almost surely, 2132223133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132223133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169467287616).

132223133322 is an abundant number, since it is smaller than the sum of its proper divisors (206711441910).

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

132223133322 is a wasteful number, since it uses less digits than its factorization.

132223133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114145 (or 114136 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 132223133322 its reverse (223331322231), we get a palindrome (355554455553).

The spelling of 132223133322 in words is "one hundred thirty-two billion, two hundred twenty-three million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1031 1134 2062 3093 6186 7217 9279 14434 18558 21651 27837 43302 55674 64953 83511 113093 129906 167022 194859 226186 339279 389718 584577 678558 791651 1017837 1169154 1583302 2035674 2374953 3053511 4749906 6107022 7124859 9160533 14249718 18321066 21374577 42749154 64123731 116598883 128247462 233197766 349796649 699593298 816192181 1049389947 1632384362 2098779894 2448576543 3148169841 4897153086 6296339682 7345729629 9444509523 14691459258 18889019046 22037188887 44074377774 66111566661 132223133322