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122213203130331 = 33173137232135747
BaseRepresentation
bin11011110010011011111010…
…100011110011011111011011
3121000201110122020221002022000
4123302123322203303133123
5112004320120000132311
61111531545340532043
734512420050326455
oct3362337243633733
9530643566832260
10122213203130331
1135a39368091455
12118598a2551023
13532686a493c61
1422272173252d5
15e1e0a4c81056
hex6f26fa8f37db

122213203130331 has 64 divisors (see below), whose sum is σ = 203239490088960. Its totient is φ = 72203502435840.

The previous prime is 122213203130309. The next prime is 122213203130419. The reversal of 122213203130331 is 133031302312221.

122213203130331 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 320 + 3 + 1 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 122213203130331 - 29 = 122213203129819 is a prime.

It is a super-2 number, since 2×1222132031303312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122213203130295 and 122213203130304.

It is not an unprimeable number, because it can be changed into a prime (122213203130531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115541401 + ... + 116594346.

It is an arithmetic number, because the mean of its divisors is an integer number (3175617032640).

Almost surely, 2122213203130331 is an apocalyptic number.

122213203130331 is a deficient number, since it is larger than the sum of its proper divisors (81026286958629).

122213203130331 is a wasteful number, since it uses less digits than its factorization.

122213203130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232135841 (or 232135835 counting only the distinct ones).

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

Adding to 122213203130331 its reverse (133031302312221), we get a palindrome (255244505442552).

The spelling of 122213203130331 in words is "one hundred twenty-two trillion, two hundred thirteen billion, two hundred three million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 31 37 51 93 111 153 279 333 459 527 629 837 999 1147 1581 1887 3441 4743 5661 10323 14229 16983 19499 30969 58497 175491 526473 232135747 696407241 2089221723 3946307699 6267665169 7196208157 8589022639 11838923097 21588624471 25767067917 35516769291 64765873413 77301203751 106550307873 122335538669 146013384863 194297620239 231903611253 266259701809 367006616007 438040154589 798779105427 1101019848021 1314120463767 2396337316281 3303059544063 3942361391301 4526414930753 7189011948843 13579244792259 40737734376777 122213203130331