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133153098 = 231311315107
BaseRepresentation
bin1111110111111…
…00000101001010
3100021112212201020
413323330011022
5233041344343
621113533310
73204532311
oct773740512
9307485636
10133153098
1169185991
1238714236
1321780a20
1413981278
15ba52b83
hex7efc14a

133153098 has 32 divisors (see below), whose sum is σ = 289348416. Its totient is φ = 40604928.

The previous prime is 133153093. The next prime is 133153127. The reversal of 133153098 is 890351331.

133153098 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133153093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261 + ... + 16367.

It is an arithmetic number, because the mean of its divisors is an integer number (9042138).

Almost surely, 2133153098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133153098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144674208).

133153098 is an abundant number, since it is smaller than the sum of its proper divisors (156195318).

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

133153098 is a wasteful number, since it uses less digits than its factorization.

133153098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15238.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 133153098 is about 11539.1983257070. The cubic root of 133153098 is about 510.6426577353.

The spelling of 133153098 in words is "one hundred thirty-three million, one hundred fifty-three thousand, ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 15107 30214 45321 90642 196391 392782 589173 1178346 1707091 3414182 5121273 10242546 22192183 44384366 66576549 133153098