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132213114 = 233111713093
BaseRepresentation
bin1111110000101…
…10100101111010
3100012210010022000
413320112211322
5232321304424
621041441430
73163535655
oct770264572
9305703260
10132213114
11686a3740
1238340276
1321511c17
14137b889c
15b9193c9
hex7e1697a

132213114 has 64 divisors (see below), whose sum is σ = 339396480. Its totient is φ = 37704960.

The previous prime is 132213073. The next prime is 132213143. The reversal of 132213114 is 411312231.

It is a super-3 number, since 3×1322131143 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3552 + ... + 16644.

It is an arithmetic number, because the mean of its divisors is an integer number (5303070).

Almost surely, 2132213114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132213114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169698240).

132213114 is an abundant number, since it is smaller than the sum of its proper divisors (207183366).

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

132213114 is a wasteful number, since it uses less digits than its factorization.

132213114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132 (or 13126 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 132213114 is about 11498.3961490288. The cubic root of 132213114 is about 509.4382049062.

Adding to 132213114 its reverse (411312231), we get a palindrome (543525345).

The spelling of 132213114 in words is "one hundred thirty-two million, two hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 13093 26186 39279 78558 117837 144023 222581 235674 288046 353511 432069 445162 667743 707022 864138 1296207 1335486 2003229 2448391 2592414 3888621 4006458 4896782 6009687 7345173 7777242 12019374 14690346 22035519 44071038 66106557 132213114