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122203103122331 = 71122711913927817
BaseRepresentation
bin11011110010010010100000…
…100011010101001110011011
3121000200111120100222111222122
4123302102200203111032123
5112004133423344403311
61111523155222411455
734511611546560140
oct3362224043251633
9530614510874878
10122203103122331
1135a3505497aa00
1211857943b90b8b
13532591ab5c46a
142226939bac3c7
15e1dbb321b0db
hex6f24a08d539b

122203103122331 has 48 divisors (see below), whose sum is σ = 154091388380160. Its totient is φ = 94863452745600.

The previous prime is 122203103122277. The next prime is 122203103122337. The reversal of 122203103122331 is 133221301302221.

It is a de Polignac number, because none of the positive numbers 2k-122203103122331 is a prime.

It is a super-2 number, since 2×1222031031223312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122203103122331.

It is not an unprimeable number, because it can be changed into a prime (122203103122337) 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 47 ways as a sum of consecutive naturals, for example, 4393094735 + ... + 4393122551.

It is an arithmetic number, because the mean of its divisors is an integer number (3210237257920).

Almost surely, 2122203103122331 is an apocalyptic number.

122203103122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122203103122331 is a deficient number, since it is larger than the sum of its proper divisors (31888285257829).

122203103122331 is a wasteful number, since it uses less digits than its factorization.

122203103122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47256 (or 47245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 122203103122331 its reverse (133221301302221), we get a palindrome (255424404424552).

The spelling of 122203103122331 in words is "one hundred twenty-two trillion, two hundred three billion, one hundred three million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 77 121 271 847 1897 2981 19139 20867 27817 32791 133973 194719 210529 229537 305987 1473703 2141909 2315819 3365857 5186669 7538407 16210733 23560999 36306683 52768849 57053359 82922477 399373513 532389563 580457339 627586949 912147247 3726726941 4393108643 5856285193 6385030729 40993996351 64419137123 144277571573 450933959861 1009943001011 1587053287303 11109373011121 17457586160333 122203103122331