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1320412221 = 322313014903
BaseRepresentation
bin100111010110011…
…1110010000111101
310102000120220001100
41032230332100331
510201011142341
6335005003313
744502214212
oct11654762075
93360526040
101320412221
1161837a277
1230a253539
13180733c0b
14c7515b09
157adc33b6
hex4eb3e43d

1320412221 has 24 divisors (see below), whose sum is σ = 1992122496. Its totient is φ = 841183200.

The previous prime is 1320412211. The next prime is 1320412243. The reversal of 1320412221 is 1222140231.

It is a happy number.

1320412221 is a `hidden beast` number, since 1 + 32 + 0 + 412 + 221 = 666.

It is not a de Polignac number, because 1320412221 - 25 = 1320412189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1320412194 and 1320412203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320412211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266856 + ... + 271758.

It is an arithmetic number, because the mean of its divisors is an integer number (83005104).

Almost surely, 21320412221 is an apocalyptic number.

It is an amenable number.

1320412221 is a deficient number, since it is larger than the sum of its proper divisors (671710275).

1320412221 is a wasteful number, since it uses less digits than its factorization.

1320412221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6230 counting only the distinct ones).

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

The square root of 1320412221 is about 36337.4768111381. The cubic root of 1320412221 is about 1097.0754881192.

Adding to 1320412221 its reverse (1222140231), we get a palindrome (2542552452).

It can be divided in two parts, 13204 and 12221, that added together give a triangular number (25425 = T225).

The spelling of 1320412221 in words is "one billion, three hundred twenty million, four hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 1301 3903 4903 11709 14709 29923 44127 89769 112769 269307 338307 1014921 6378803 19136409 57409227 146712469 440137407 1320412221