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1312332021 = 32711133137127
BaseRepresentation
bin100111000111000…
…1001100011110101
310101110101101002200
41032032021203311
510141424111041
6334115455113
744343431610
oct11616114365
93343341080
101312332021
11613860520
123075b7499
1317bb65130
14c6411177
157a3291b6
hex4e3898f5

1312332021 has 192 divisors, whose sum is σ = 2719481856. Its totient is φ = 587865600.

The previous prime is 1312332011. The next prime is 1312332029. The reversal of 1312332021 is 1202332131.

1312332021 is a `hidden beast` number, since 1 + 312 + 332 + 0 + 21 = 666.

1312332021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1312332021 - 25 = 1312331989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312331985 and 1312332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312332029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10333260 + ... + 10333386.

It is an arithmetic number, because the mean of its divisors is an integer number (14163968).

Almost surely, 21312332021 is an apocalyptic number.

1312332021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312332021 is an abundant number, since it is smaller than the sum of its proper divisors (1407149835).

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

1312332021 is a wasteful number, since it uses less digits than its factorization.

1312332021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312332021 is about 36226.1234608397. The cubic root of 1312332021 is about 1094.8330739477.

Adding to 1312332021 its reverse (1202332131), we get a palindrome (2514664152).

It can be divided in two parts, 1312 and 332021, that added together give a palindrome (333333).

The spelling of 1312332021 in words is "one billion, three hundred twelve million, three hundred thirty-two thousand, twenty-one".