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121121313 = 32937191197
BaseRepresentation
bin1110011100000…
…10101000100001
322102220121012120
413032002220201
5222001340223
620004014453
73000341235
oct716025041
9272817176
10121121313
1162408265
1234691429
131c12a421
141212c5c5
15a977be3
hex7382a21

121121313 has 32 divisors (see below), whose sum is σ = 173352960. Its totient is φ = 75075840.

The previous prime is 121121293. The next prime is 121121317. The reversal of 121121313 is 313121121.

It is a happy number.

It is not a de Polignac number, because 121121313 - 26 = 121121249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121121292 and 121121301.

It is not an unprimeable number, because it can be changed into a prime (121121317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614731 + ... + 614927.

It is an arithmetic number, because the mean of its divisors is an integer number (5417280).

Almost surely, 2121121313 is an apocalyptic number.

It is an amenable number.

121121313 is a deficient number, since it is larger than the sum of its proper divisors (52231647).

121121313 is a wasteful number, since it uses less digits than its factorization.

121121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457.

The product of its digits is 36, while the sum is 15.

The square root of 121121313 is about 11005.5128458423. The cubic root of 121121313 is about 494.7739851767.

Adding to 121121313 its reverse (313121121), we get a palindrome (434242434).

The spelling of 121121313 in words is "one hundred twenty-one million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 29 37 87 111 191 197 573 591 1073 3219 5539 5713 7067 7289 16617 17139 21201 21867 37627 112881 204943 211381 614829 634143 1091183 1392199 3273549 4176597 40373771 121121313