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214153205112 = 233271138627923
BaseRepresentation
bin1100011101110010000…
…1101001010101111000
3202110202201000222222100
43013130201221111320
512002041210030422
6242214114223400
721320626131450
oct3073441512570
9673681028870
10214153205112
11829049a0730
1235607584b60
131726b5aca62
14a517a78d60
155885c6b7ac
hex31dc869578

214153205112 has 96 divisors (see below), whose sum is σ = 723114737280. Its totient is φ = 55624207680.

The previous prime is 214153205111. The next prime is 214153205113. The reversal of 214153205112 is 211502351412.

It is a happy number.

214153205112 is a `hidden beast` number, since 2 + 14 + 1 + 532 + 0 + 5 + 112 = 666.

214153205112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214153205111) and next prime (214153205113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214153205111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19308418 + ... + 19319505.

It is an arithmetic number, because the mean of its divisors is an integer number (7532445180).

Almost surely, 2214153205112 is an apocalyptic number.

214153205112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214153205112 is an abundant number, since it is smaller than the sum of its proper divisors (508961532168).

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

214153205112 is a wasteful number, since it uses less digits than its factorization.

214153205112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38627953 (or 38627946 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 214153205112 its reverse (211502351412), we get a palindrome (425655556524).

The spelling of 214153205112 in words is "two hundred fourteen billion, one hundred fifty-three million, two hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 38627923 77255846 115883769 154511692 231767538 270395461 309023384 347651307 424907153 463535076 540790922 695302614 811186383 849814306 927070152 1081581844 1274721459 1390605228 1622372766 1699628612 2163163688 2433559149 2549442918 2781210456 2974350071 3244745532 3399257224 3824164377 4867118298 5098885836 5948700142 6489491064 7648328754 8923050213 9734236596 10197771672 11897400284 15296657508 17846100426 19468473192 23794800568 26769150639 30593315016 35692200852 53538301278 71384401704 107076602556 214153205112