Search a number
-
+
133100022 = 231141101487
BaseRepresentation
bin1111110111011…
…11000111110110
3100021110011220110
413323233013312
5233033200042
621112443450
73204221466
oct773570766
9307404813
10133100022
116914a020
12386a9586
1321762813
1413969ba6
15ba4209c
hex7eef1f6

133100022 has 64 divisors (see below), whose sum is σ = 301045248. Its totient is φ = 38880000.

The previous prime is 133100017. The next prime is 133100039. The reversal of 133100022 is 220001331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133099980 and 133100007.

It is a congruent number.

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, 273063 + ... + 273549.

It is an arithmetic number, because the mean of its divisors is an integer number (4703832).

Almost surely, 2133100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150522624).

133100022 is an abundant number, since it is smaller than the sum of its proper divisors (167945226).

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

133100022 is a wasteful number, since it uses less digits than its factorization.

133100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133100022 is about 11536.8982833342. The cubic root of 133100022 is about 510.5747998282.

Adding to 133100022 its reverse (220001331), we get a palindrome (353101353).

The spelling of 133100022 in words is "one hundred thirty-three million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 101 123 202 246 303 451 487 606 902 974 1111 1353 1461 2222 2706 2922 3333 4141 5357 6666 8282 10714 12423 16071 19967 24846 32142 39934 45551 49187 59901 91102 98374 119802 136653 147561 219637 273306 295122 439274 541057 658911 1082114 1317822 1623171 2016667 3246342 4033334 6050001 12100002 22183337 44366674 66550011 133100022