Search a number
-
+
121022020132331 = 3159307479449963
BaseRepresentation
bin11011100001000110100010…
…100001010001110111101011
3120212111120222122222002021012
4123201012202201101313223
5111330311044123213311
61105220425403134135
734330360323031553
oct3341064241216753
9525446878862235
10121022020132331
113561a17236647a
12116a6a6581434b
13526b434775bc6
1421c56d5bb8163
15ded0d917578b
hex6e11a2851deb

121022020132331 has 32 divisors (see below), whose sum is σ = 127723541299200. Its totient is φ = 114518172759840.

The previous prime is 121022020132301. The next prime is 121022020132337. The reversal of 121022020132331 is 133231020220121.

It is a cyclic number.

It is not a de Polignac number, because 121022020132331 - 26 = 121022020132267 is a prime.

It is a super-2 number, since 2×1210220201323312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121022020132297 and 121022020132306.

It is not an unprimeable number, because it can be changed into a prime (121022020132337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268734956 + ... + 269184918.

It is an arithmetic number, because the mean of its divisors is an integer number (3991360665600).

Almost surely, 2121022020132331 is an apocalyptic number.

121022020132331 is a deficient number, since it is larger than the sum of its proper divisors (6701521166869).

121022020132331 is a wasteful number, since it uses less digits than its factorization.

121022020132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450839.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121022020132331 its reverse (133231020220121), we get a palindrome (254253040352452).

The spelling of 121022020132331 in words is "one hundred twenty-one trillion, twenty-two billion, twenty million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 31 59 307 479 1829 9517 14849 18113 28261 147053 449963 561503 876091 4558643 8676127 13948853 26547817 138138641 215532277 268959937 822982327 4282297871 6681500587 8150179819 12716404343 66168409039 252655574389 394208534633 2051220680209 3903936133301 121022020132331