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1312204221 = 3241101137257
BaseRepresentation
bin100111000110110…
…1010010110111101
310101110010212210100
41032031222112331
510141411013341
6334113031313
744342360166
oct11615522675
93343125710
101312204221
116137834a9
12307555539
1317bb1bc03
14c63ba76d
157a3013b6
hex4e36a5bd

1312204221 has 48 divisors (see below), whose sum is σ = 1982857968. Its totient is φ = 835584000.

The previous prime is 1312204213. The next prime is 1312204247. The reversal of 1312204221 is 1224022131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 185259321 + 1126944900 = 13611^2 + 33570^2 .

It is not a de Polignac number, because 1312204221 - 23 = 1312204213 is a prime.

It is a super-2 number, since 2×13122042212 = 3443759835220433682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312204194 and 1312204203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312204291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5105725 + ... + 5105981.

It is an arithmetic number, because the mean of its divisors is an integer number (41309541).

Almost surely, 21312204221 is an apocalyptic number.

It is an amenable number.

1312204221 is a deficient number, since it is larger than the sum of its proper divisors (670653747).

1312204221 is a wasteful number, since it uses less digits than its factorization.

1312204221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

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

The square root of 1312204221 is about 36224.3594974432. The cubic root of 1312204221 is about 1094.7975330920.

Adding to 1312204221 its reverse (1224022131), we get a palindrome (2536226352).

The spelling of 1312204221 in words is "one billion, three hundred twelve million, two hundred four thousand, two hundred twenty-one".

Divisors: 1 3 9 41 101 123 137 257 303 369 411 771 909 1233 2313 4141 5617 10537 12423 13837 16851 25957 31611 35209 37269 41511 50553 77871 94833 105627 124533 233613 316881 567317 1064237 1443569 1701951 3192711 3556109 4330707 5105853 9578133 10668327 12992121 32004981 145800469 437401407 1312204221