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153310122 = 232721011721
BaseRepresentation
bin10010010001101…
…01001110101010
3101200110221221200
421020311032222
5303221410442
623113545030
73541054200
oct1110651652
9350427850
10153310122
11795a3189
1243415176
13259ba764
141650b070
15d6d534c
hex92353aa

153310122 has 72 divisors (see below), whose sum is σ = 390456612. Its totient is φ = 43344000.

The previous prime is 153310121. The next prime is 153310127. The reversal of 153310122 is 221013351.

153310122 is a `hidden beast` number, since 1 + 533 + 10 + 122 = 666.

153310122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128119761 + 25190361 = 11319^2 + 5019^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 153310095 and 153310104.

It is not an unprimeable number, because it can be changed into a prime (153310121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88222 + ... + 89942.

Almost surely, 2153310122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195228306).

153310122 is an abundant number, since it is smaller than the sum of its proper divisors (237146490).

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

153310122 is a wasteful number, since it uses less digits than its factorization.

153310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 153310122 is about 12381.8464697314. The cubic root of 153310122 is about 535.2092488029.

Adding to 153310122 its reverse (221013351), we get a palindrome (374323473).

The spelling of 153310122 in words is "one hundred fifty-three million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1414 1721 1818 2121 3442 4242 4949 5163 6363 9898 10326 12047 12726 14847 15489 24094 29694 30978 36141 44541 72282 84329 89082 108423 168658 173821 216846 252987 347642 505974 521463 758961 1042926 1216747 1517922 1564389 2433494 3128778 3650241 7300482 8517229 10950723 17034458 21901446 25551687 51103374 76655061 153310122