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133142232 = 23317595531
BaseRepresentation
bin1111110111110…
…01011011011000
3100021112022210210
413323321123120
5233041022412
621113411120
73204455526
oct773713330
9307468723
10133142232
1169178803
1238709aa0
1321778ab2
141397b316
15ba4e83c
hex7ef96d8

133142232 has 64 divisors (see below), whose sum is σ = 358473600. Its totient is φ = 41054720.

The previous prime is 133142221. The next prime is 133142267. The reversal of 133142232 is 232241331.

133142232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 133142199 and 133142208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21307 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (5601150).

Almost surely, 2133142232 is an apocalyptic number.

133142232 is a gapful number since it is divisible by the number (12) 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 133142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179236800).

133142232 is an abundant number, since it is smaller than the sum of its proper divisors (225331368).

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

133142232 is a wasteful number, since it uses less digits than its factorization.

133142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5612 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 133142232 is about 11538.7274861659. The cubic root of 133142232 is about 510.6287669731.

Adding to 133142232 its reverse (232241331), we get a palindrome (365383563).

Subtracting 133142232 from its reverse (232241331), we obtain a palindrome (99099099).

The spelling of 133142232 in words is "one hundred thirty-three million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 708 1003 1416 2006 3009 4012 5531 6018 8024 11062 12036 16593 22124 24072 33186 44248 66372 94027 132744 188054 282081 326329 376108 564162 652658 752216 978987 1128324 1305316 1957974 2256648 2610632 3915948 5547593 7831896 11095186 16642779 22190372 33285558 44380744 66571116 133142232