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122224013131031 = 7231338923742541
BaseRepresentation
bin11011110010100101111110…
…111000101011110100010111
3121000202111112121212000111022
4123302211332320223310113
5112010004234330143111
61111540534140431355
734513251661656500
oct3362457670536427
9530674477760438
10122224013131031
1135a42a05047a29
121185b9ba84855b
1353278a0c26286
142227960c97ba7
15e1e4d8cde2db
hex6f297ee2bd17

122224013131031 has 24 divisors (see below), whose sum is σ = 146808684501120. Its totient is φ = 101354054155200.

The previous prime is 122224013131027. The next prime is 122224013131069. The reversal of 122224013131031 is 130131310422221.

It is not a de Polignac number, because 122224013131031 - 22 = 122224013131027 is a prime.

It is a super-2 number, since 2×1222240131310312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122224013131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6723380 + ... + 17019161.

It is an arithmetic number, because the mean of its divisors is an integer number (6117028520880).

Almost surely, 2122224013131031 is an apocalyptic number.

122224013131031 is a deficient number, since it is larger than the sum of its proper divisors (24584671370089).

122224013131031 is a wasteful number, since it uses less digits than its factorization.

122224013131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23745975 (or 23745968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122224013131031 its reverse (130131310422221), we get a palindrome (252355323553252).

The spelling of 122224013131031 in words is "one hundred twenty-two trillion, two hundred twenty-four billion, thirteen million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 7 31 49 217 1519 3389 23723 105059 166061 735413 5147891 23742541 166197787 736018771 1163384509 5152131397 36064919779 80463471449 563244300143 2494367614919 3942710101001 17460573304433 122224013131031