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1221312231 = 325310723929
BaseRepresentation
bin100100011001011…
…1011111011100111
310011010010002102100
41020302323323213
510000123442411
6321104543143
742156661026
oct11062737347
93133102370
101221312231
11577442a57
122a1021ab3
13166046c79
14b82ba8bd
157234a456
hex48cbbee7

1221312231 has 24 divisors (see below), whose sum is σ = 1814276880. Its totient is φ = 791346816.

The previous prime is 1221312217. The next prime is 1221312269. The reversal of 1221312231 is 1322131221.

1221312231 is a `hidden beast` number, since 122 + 1 + 312 + 231 = 666.

It is not a de Polignac number, because 1221312231 - 25 = 1221312199 is a prime.

It is a super-2 number, since 2×12213122312 = 2983207131180394722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221312031) 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, 39075 + ... + 63003.

It is an arithmetic number, because the mean of its divisors is an integer number (75594870).

Almost surely, 21221312231 is an apocalyptic number.

1221312231 is a deficient number, since it is larger than the sum of its proper divisors (592964649).

1221312231 is a wasteful number, since it uses less digits than its factorization.

1221312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24095 (or 24092 counting only the distinct ones).

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

The square root of 1221312231 is about 34947.2778768247. The cubic root of 1221312231 is about 1068.9126961097.

Adding to 1221312231 its reverse (1322131221), we get a palindrome (2543443452).

The spelling of 1221312231 in words is "one billion, two hundred twenty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 53 107 159 321 477 963 5671 17013 23929 51039 71787 215361 1268237 2560403 3804711 7681209 11414133 23043627 135701359 407104077 1221312231