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213113054 = 272111729401
BaseRepresentation
bin11001011001111…
…01100011011110
3112212000021011002
430230331203132
5414024104204
633051430302
75165300600
oct1454754336
9485007132
10213113054
11aa329aa0
125b455392
13351c8acb
1420437170
1513a9991e
hexcb3d8de

213113054 has 96 divisors (see below), whose sum is σ = 445448160. Its totient is φ = 75264000.

The previous prime is 213113051. The next prime is 213113057. The reversal of 213113054 is 450311312.

It is an interprime number because it is at equal distance from previous prime (213113051) and next prime (213113057).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531254 + ... + 531654.

It is an arithmetic number, because the mean of its divisors is an integer number (4640085).

Almost surely, 2213113054 is an apocalyptic number.

213113054 is an abundant number, since it is smaller than the sum of its proper divisors (232335106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213113054 is a wasteful number, since it uses less digits than its factorization.

213113054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 213113054 is about 14598.3921717427. The cubic root of 213113054 is about 597.3149035384.

Adding to 213113054 its reverse (450311312), we get a palindrome (663424366).

The spelling of 213113054 in words is "two hundred thirteen million, one hundred thirteen thousand, fifty-four".

Divisors: 1 2 7 11 14 17 22 29 34 49 58 77 98 119 154 187 203 238 319 374 401 406 493 539 638 802 833 986 1078 1309 1421 1666 2233 2618 2807 2842 3451 4411 4466 5423 5614 6817 6902 8822 9163 10846 11629 13634 15631 18326 19649 23258 24157 30877 31262 37961 39298 47719 48314 61754 74987 75922 81403 95438 127919 149974 162806 197693 216139 255838 265727 334033 395386 432278 524909 531454 569821 668066 895433 1049818 1139642 1383851 1790866 2174623 2767702 3674363 4349246 6268031 7348726 9686957 12536062 15222361 19373914 30444722 106556527 213113054