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122422131 = 33133111251
BaseRepresentation
bin1110100110000…
…00001101110011
322112100200121000
413103000031303
5222320002011
620051533043
73014366556
oct723001563
9275320530
10122422131
1163116617
1234bba183
131c494540
141238a69d
15ab33356
hex74c0373

122422131 has 32 divisors (see below), whose sum is σ = 201635840. Its totient is φ = 72900000.

The previous prime is 122422099. The next prime is 122422141. The reversal of 122422131 is 131224221.

It is a happy number.

It is not a de Polignac number, because 122422131 - 25 = 122422099 is a prime.

It is a super-2 number, since 2×1224221312 = 29974356317162322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122422141) 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 31 ways as a sum of consecutive naturals, for example, 5256 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (6301120).

Almost surely, 2122422131 is an apocalyptic number.

122422131 is a deficient number, since it is larger than the sum of its proper divisors (79213709).

122422131 is a wasteful number, since it uses less digits than its factorization.

122422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11298 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122422131 is about 11064.4534885371. The cubic root of 122422131 is about 496.5389387228.

Adding to 122422131 its reverse (131224221), we get a palindrome (253646352).

The spelling of 122422131 in words is "one hundred twenty-two million, four hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 11251 33753 101259 146263 303777 348781 438789 1046343 1316367 3139029 3949101 4534153 9417087 13602459 40807377 122422131