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1312211322 = 23272900629
BaseRepresentation
bin100111000110110…
…1100000101111010
310101110011020112100
41032031230011322
510141411230242
6334113124230
744342416662
oct11615540572
93343136470
101312211322
11613788874
12307559676
1317bb22206
14c63bd1a2
157a30354c
hex4e36c17a

1312211322 has 12 divisors (see below), whose sum is σ = 2843124570. Its totient is φ = 437403768.

The previous prime is 1312211311. The next prime is 1312211323. The reversal of 1312211322 is 2231122131.

1312211322 is a `hidden beast` number, since 131 + 2 + 211 + 322 = 666.

1312211322 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1188801441 + 123409881 = 34479^2 + 11109^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 72900629 = 1312211322 / (1 + 3 + 1 + 2 + 2 + 1 + 1 + 3 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312211295 and 1312211304.

It is not an unprimeable number, because it can be changed into a prime (1312211323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36450297 + ... + 36450332.

Almost surely, 21312211322 is an apocalyptic number.

1312211322 is an abundant number, since it is smaller than the sum of its proper divisors (1530913248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312211322 is a wasteful number, since it uses less digits than its factorization.

1312211322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72900637 (or 72900634 counting only the distinct ones).

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

The square root of 1312211322 is about 36224.4575114659. The cubic root of 1312211322 is about 1094.7995079226.

Adding to 1312211322 its reverse (2231122131), we get a palindrome (3543333453).

The spelling of 1312211322 in words is "one billion, three hundred twelve million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 72900629 145801258 218701887 437403774 656105661 1312211322