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54322211222345 = 5114756936932153
BaseRepresentation
bin11000101100111111000000…
…00110100111001101001001
321010100011010022002222212202
430112133200012213031021
524110003342033103340
6311311140200045545
714304436014553103
oct1426374006471511
9233304108088782
1054322211222345
1116343a14070060
1261140127638b5
132440740b85611
14d5b2cd8d0573
156430a322bc15
hex3167e01a7349

54322211222345 has 32 divisors (see below), whose sum is σ = 72753388807680. Its totient is φ = 38598530698240.

The previous prime is 54322211222341. The next prime is 54322211222381.

54322211222345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54322211222345 - 22 = 54322211222341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54322211222299 and 54322211222308.

It is not an unprimeable number, because it can be changed into a prime (54322211222341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16995212 + ... + 19936941.

It is an arithmetic number, because the mean of its divisors is an integer number (2273543400240).

Almost surely, 254322211222345 is an apocalyptic number.

54322211222345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54322211222345 is a deficient number, since it is larger than the sum of its proper divisors (18431177585335).

54322211222345 is a wasteful number, since it uses less digits than its factorization.

54322211222345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36932785.

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 5432221 and 1222345, that added together give a palindrome (6654566).

The spelling of 54322211222345 in words is "fifty-four trillion, three hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 5 11 47 55 235 517 569 2585 2845 6259 26743 31295 133715 294173 1470865 36932153 184660765 406253683 1735811191 2031268415 8679055955 19093923101 21014395057 95469615505 105071975285 231158345627 987676567679 1155791728135 4938382838395 10864442244469 54322211222345