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10214022321 = 342331176857
BaseRepresentation
bin10011000001100110…
…11001110010110001
3222100211111002120000
421200303121302301
5131404242203241
64405305540213
7511053520506
oct114063316261
928324432500
1010214022321
114371605168
121b907a4669
13c6a1440b9
146cc7554ad
153eba86eb6
hex260cd9cb1

10214022321 has 40 divisors (see below), whose sum is σ = 16435060224. Its totient is φ = 6303147840.

The previous prime is 10214022307. The next prime is 10214022341. The reversal of 10214022321 is 12322041201.

It is a happy number.

10214022321 is a `hidden beast` number, since 10 + 21 + 402 + 232 + 1 = 666.

It is not a de Polignac number, because 10214022321 - 25 = 10214022289 is a prime.

It is a super-3 number, since 3×102140223213 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10214022294 and 10214022303.

It is not an unprimeable number, because it can be changed into a prime (10214022341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30676 + ... + 146181.

Almost surely, 210214022321 is an apocalyptic number.

It is an amenable number.

10214022321 is a deficient number, since it is larger than the sum of its proper divisors (6221037903).

10214022321 is a wasteful number, since it uses less digits than its factorization.

10214022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176923 (or 176914 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10214022321 its reverse (12322041201), we get a palindrome (22536063522).

The spelling of 10214022321 in words is "ten billion, two hundred fourteen million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 23 27 31 69 81 93 207 279 621 713 837 1863 2139 2511 6417 19251 57753 176857 530571 1591713 4067711 4775139 5482567 12203133 14325417 16447701 36609399 49343103 109828197 126099041 148029309 329484591 378297123 444087927 1134891369 3404674107 10214022321