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311302220133031 = 17210312318495503
BaseRepresentation
bin100011011001000001011001…
…0001111111011001010100111
31111211020012102222002201212221
41012302002302033323022213
5311300333421323224111
63022030133214053211
7122366562134500111
oct10662026217731247
91454205388081787
10311302220133031
11902105916a6516
122aab85577aa207
131049189a5b7c4a
1456c3171d0c3b1
1525eca4256e371
hex11b20b23fb2a7

311302220133031 has 24 divisors (see below), whose sum is σ = 334173164509184. Its totient is φ = 289910025210240.

The previous prime is 311302220133011. The next prime is 311302220133131. The reversal of 311302220133031 is 130331022203113.

It is not a de Polignac number, because 311302220133031 - 243 = 302506127110823 is a prime.

It is a super-2 number, since 2×3113022201330312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311302220132987 and 311302220133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311302220133011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32395426 + ... + 40890928.

Almost surely, 2311302220133031 is an apocalyptic number.

311302220133031 is a deficient number, since it is larger than the sum of its proper divisors (22870944376153).

311302220133031 is a wasteful number, since it uses less digits than its factorization.

311302220133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496871 (or 8496854 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 311302220133031 its reverse (130331022203113), we get a palindrome (441633242336144).

The spelling of 311302220133031 in words is "three hundred eleven trillion, three hundred two billion, two hundred twenty million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 17 103 289 1231 1751 20927 29767 126793 355759 2155481 8495503 36643177 144423551 875036809 2455200367 10457964193 14875625753 177785391281 252885637801 1077170311879 3022351651777 18311895301943 311302220133031