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31223322332213 = 1119431427181157
BaseRepresentation
bin1110001100101101111110…
…00010010100110000110101
311002112220212000111002201112
413012112333002110300311
513043030331004112323
6150223443554204405
76401545014553004
oct706267702246065
9132486760432645
1031223322332213
119a48811514570
123603357583705
131456467802a1b
1479d30710ac3b
153922cc245178
hex1c65bf094c35

31223322332213 has 32 divisors (see below), whose sum is σ = 35946579271680. Its totient is φ = 26821895688000.

The previous prime is 31223322332203. The next prime is 31223322332219.

31223322332213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31223322332213 - 218 = 31223322070069 is a prime.

It is a super-2 number, since 2×312233223322132 (a number of 28 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 31223322332213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223322332219) 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 31 ways as a sum of consecutive naturals, for example, 384686831 + ... + 384767987.

It is an arithmetic number, because the mean of its divisors is an integer number (1123330602240).

Almost surely, 231223322332213 is an apocalyptic number.

It is an amenable number.

31223322332213 is a deficient number, since it is larger than the sum of its proper divisors (4723256939467).

31223322332213 is a wasteful number, since it uses less digits than its factorization.

31223322332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85889.

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 3122332 and 2332213, that added together give a palindrome (5454545).

The spelling of 31223322332213 in words is "thirty-one trillion, two hundred twenty-three billion, three hundred twenty-two million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 11 19 209 431 4271 4741 8189 46981 81149 81157 90079 892639 892727 1541983 1840801 16961813 20248811 34975219 34978667 346621547 384727409 384765337 664594673 3812837017 6585809393 7310541403 72443903323 149393886757 1643332754327 2838483848383 31223322332213