Search a number
-
+
122333031022131 = 324316718539102101
BaseRepresentation
bin11011110100001011100000…
…110110111011111000110011
3121001010220221021020200201200
4123310023200312323320303
5112013301021420202011
61112103004004302243
734524161356522626
oct3364134066737063
9531126837220650
10122333031022131
1135a85168884096
1211878b646a1983
135334c55b0b547
14222cd43869dbd
15e22269a8b856
hex6f42e0dbbe33

122333031022131 has 48 divisors (see below), whose sum is σ = 181906948903680. Its totient is φ = 79176672993600.

The previous prime is 122333031022021. The next prime is 122333031022187. The reversal of 122333031022131 is 131220130333221.

122333031022131 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 330 + 310 + 2 + 2 + 13 + 1 = 666.

It is not a de Polignac number, because 122333031022131 - 230 = 122331957280307 is a prime.

It is a super-2 number, since 2×1223330310221312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122333031022095 and 122333031022104.

It is not an unprimeable number, because it can be changed into a prime (122333031062131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198105981 + ... + 1198208081.

It is an arithmetic number, because the mean of its divisors is an integer number (3789728102160).

Almost surely, 2122333031022131 is an apocalyptic number.

122333031022131 is a deficient number, since it is larger than the sum of its proper divisors (59573917881549).

122333031022131 is a wasteful number, since it uses less digits than its factorization.

122333031022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120856 (or 120853 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122333031022131 its reverse (131220130333221), we get a palindrome (253553161355352).

The spelling of 122333031022131 in words is "one hundred twenty-two trillion, three hundred thirty-three billion, thirty-one million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 43 129 167 387 501 1503 7181 18539 21543 55617 64629 102101 166851 306303 797177 918909 2391531 3096013 4390343 7174593 9288039 13171029 17050867 27864117 39513087 51152601 133128559 153457803 399385677 733187281 1198157031 1892850439 2199561843 5678551317 6598685529 17035653951 81392568877 244177706631 316106023313 732533119893 948318069939 2844954209817 13592559002459 40777677007377 122333031022131