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1312050432 = 28371122017
BaseRepresentation
bin100111000110100…
…0100110100000000
310101102212001211110
41032031010310000
510141341103212
6334105443320
744341146630
oct11615046400
93342761743
101312050432
11613688a00
123074a0540
1317ba96c04
14c637a6c0
157a2c0a3c
hex4e344d00

1312050432 has 216 divisors, whose sum is σ = 4388778688. Its totient is φ = 340623360.

The previous prime is 1312050431. The next prime is 1312050469. The reversal of 1312050432 is 2340502131.

It is a super-2 number, since 2×13120504322 = 3442952672222773248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1312050399 and 1312050408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312050431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649488 + ... + 651504.

Almost surely, 21312050432 is an apocalyptic number.

1312050432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194389344).

1312050432 is an abundant number, since it is smaller than the sum of its proper divisors (3076728256).

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

1312050432 is a wasteful number, since it uses less digits than its factorization.

1312050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1312050432 is about 36222.2367062002. The cubic root of 1312050432 is about 1094.7547617019.

Adding to 1312050432 its reverse (2340502131), we get a palindrome (3652552563).

The spelling of 1312050432 in words is "one billion, three hundred twelve million, fifty thousand, four hundred thirty-two".