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42331122113324 = 221110115975964593
BaseRepresentation
bin10011001111111111110110…
…11111110001101100101100
312112212211000200110001111112
421213333323133301230230
521022023114230111244
6230010352105211152
711626215445056422
oct1147777337615454
9175784020401445
1042331122113324
1112540589954570
1248b807b190ab8
131a80a666467b5
14a64ba156d112
154d61e278539e
hex267ffb7f1b2c

42331122113324 has 48 divisors (see below), whose sum is σ = 81665216944416. Its totient is φ = 19038977664000.

The previous prime is 42331122113311. The next prime is 42331122113347.

42331122113324 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4114772 + ... + 10079364.

It is an arithmetic number, because the mean of its divisors is an integer number (1701358686342).

Almost surely, 242331122113324 is an apocalyptic number.

42331122113324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42331122113324 is a deficient number, since it is larger than the sum of its proper divisors (39334094831092).

42331122113324 is a wasteful number, since it uses less digits than its factorization.

42331122113324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966306 (or 5966304 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 4233112 and 2113324, that added together give a palindrome (6346436).

The spelling of 42331122113324 in words is "forty-two trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 1597 2222 3194 4444 6388 17567 35134 70268 161297 322594 645188 1774267 3548534 5964593 7097068 11929186 23858372 65610523 131221046 262442092 602423893 1204847786 2409695572 6626662823 9525455021 13253325646 19050910042 26506651292 38101820084 104780005231 209560010462 419120020924 962070957121 1924141914242 3848283828484 10582780528331 21165561056662 42331122113324