Search a number
-
+
1321011132012 = 22321121389262111
BaseRepresentation
bin10011001110010010011…
…001100011011001101100
311200021202112111112211200
4103032102121203121230
5133120412322211022
62450510353045500
7164303613232125
oct23162231433154
94607675445750
101321011132012
1146a268388700
1219402bb56890
1397756109130
1447d19c7904c
1524568820bac
hex1339266366c

1321011132012 has 216 divisors, whose sum is σ = 3997150335360. Its totient is φ = 365360371200.

The previous prime is 1321011131917. The next prime is 1321011132047. The reversal of 1321011132012 is 2102311101231.

1321011132012 is a `hidden beast` number, since 1 + 321 + 0 + 1 + 11 + 320 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4908837 + ... + 5170947.

Almost surely, 21321011132012 is an apocalyptic number.

1321011132012 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 1321011132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998575167680).

1321011132012 is an abundant number, since it is smaller than the sum of its proper divisors (2676139203348).

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

1321011132012 is a wasteful number, since it uses less digits than its factorization.

1321011132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262245 (or 262229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1321011132012 its reverse (2102311101231), we get a palindrome (3423322233243).

The spelling of 1321011132012 in words is "one trillion, three hundred twenty-one billion, eleven million, one hundred thirty-two thousand, twelve".