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31221344133 = 347228724077
BaseRepresentation
bin11101000100111011…
…111110011110000101
32222120212110121120000
4131010323332132011
51002420131003013
622202021431513
72153460021630
oct350473763605
988525417500
1031221344133
11122716a8a51
126073b6b599
132c37420735
141722732c17
15c2ae7d973
hex744efe785

31221344133 has 40 divisors (see below), whose sum is σ = 53327569152. Its totient is φ = 17832226464.

The previous prime is 31221344029. The next prime is 31221344173. The reversal of 31221344133 is 33144312213.

It is a happy number.

31221344133 is a `hidden beast` number, since 3 + 1 + 2 + 213 + 441 + 3 + 3 = 666.

It is not a de Polignac number, because 31221344133 - 214 = 31221327749 is a prime.

It is a super-3 number, since 3×312213441333 (a number of 32 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31221344097 and 31221344106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221344173) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1284691 + ... + 1308767.

Almost surely, 231221344133 is an apocalyptic number.

It is an amenable number.

31221344133 is a deficient number, since it is larger than the sum of its proper divisors (22106225019).

31221344133 is a wasteful number, since it uses less digits than its factorization.

31221344133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26383 (or 26374 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31221344133 its reverse (33144312213), we get a palindrome (64365656346).

The spelling of 31221344133 in words is "thirty-one billion, two hundred twenty-one million, three hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 2287 6861 16009 20583 24077 48027 61749 72231 144081 168539 185247 216693 432243 505617 650079 1296729 1516851 1950237 4550553 13651659 55064099 165192297 385448693 495576891 1156346079 1486730673 3469038237 4460192019 10407114711 31221344133