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23120311221 = 347311315373
BaseRepresentation
bin10101100010000100…
…111111001110110101
32012200021221111120000
4111202010333032311
5334322244424341
614342112301513
71445641255110
oct254204771665
965607844500
1023120311221
1198948a4027
124592b41899
132245c94937
141194889577
15904b778b6
hex56213f3b5

23120311221 has 40 divisors (see below), whose sum is σ = 40745025024. Its totient is φ = 12785415840.

The previous prime is 23120311213. The next prime is 23120311231. The reversal of 23120311221 is 12211302132.

23120311221 is a `hidden beast` number, since 231 + 203 + 11 + 221 = 666.

It is not a de Polignac number, because 23120311221 - 23 = 23120311213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23120311194 and 23120311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120311231) 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 39 ways as a sum of consecutive naturals, for example, 640110 + ... + 675263.

Almost surely, 223120311221 is an apocalyptic number.

23120311221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23120311221 is a deficient number, since it is larger than the sum of its proper divisors (17624713803).

23120311221 is a wasteful number, since it uses less digits than its factorization.

23120311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315423 (or 1315414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23120311221 its reverse (12211302132), we get a palindrome (35331613353).

The spelling of 23120311221 in words is "twenty-three billion, one hundred twenty million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1953 2511 5859 17577 1315373 3946119 9207611 11838357 27622833 35515071 40776563 82868499 106545213 122329689 248605497 285435941 366989067 745816491 856307823 1100967201 2568923469 3302901603 7706770407 23120311221