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1312213419 = 33112894513
BaseRepresentation
bin100111000110110…
…1100100110101011
310101110011100102000
41032031230212223
510141411312134
6334113142043
744342426046
oct11615544653
93343140360
101312213419
1161378a400
1230755a923
1317bb2315a
14c63bdc5d
157a303e99
hex4e36c9ab

1312213419 has 48 divisors (see below), whose sum is σ = 2161303200. Its totient is φ = 786170880.

The previous prime is 1312213417. The next prime is 1312213423. The reversal of 1312213419 is 9143122131.

1312213419 is a `hidden beast` number, since 1 + 31 + 2 + 213 + 419 = 666.

It is not a de Polignac number, because 1312213419 - 21 = 1312213417 is a prime.

It is a super-2 number, since 2×13122134192 = 3443808114007339122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1312213392 and 1312213401.

It is not an unprimeable number, because it can be changed into a prime (1312213417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288507 + ... + 293019.

It is an arithmetic number, because the mean of its divisors is an integer number (45027150).

Almost surely, 21312213419 is an apocalyptic number.

1312213419 is a deficient number, since it is larger than the sum of its proper divisors (849089781).

1312213419 is a wasteful number, since it uses less digits than its factorization.

1312213419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4616 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1312213419 is about 36224.4864559872. The cubic root of 1312213419 is about 1094.8000911095.

The spelling of 1312213419 in words is "one billion, three hundred twelve million, two hundred thirteen thousand, four hundred nineteen".

Divisors: 1 3 9 11 27 33 89 99 121 267 297 363 801 979 1089 2403 2937 3267 4513 8811 10769 13539 26433 32307 40617 49643 96921 121851 148929 290763 401657 446787 546073 1204971 1340361 1638219 3614913 4418227 4914657 10844739 13254681 14743971 39764043 48600497 119292129 145801491 437404473 1312213419