Search a number
-
+
1312200021132 = 223272111337140593
BaseRepresentation
bin10011000110000101001…
…101110101010010001100
311122110000110211201222200
4103012011031311102030
5132444341201134012
62442452200241500
7163542353101200
oct23060515652214
94573013751880
101312200021132
11466556780690
12192391170290
1396980822a60
1447721992b00
15242000063dc
hex1318537548c

1312200021132 has 432 divisors, whose sum is σ = 4655602721952. Its totient is φ = 306108149760.

The previous prime is 1312200021107. The next prime is 1312200021151. The reversal of 1312200021132 is 2311200022131.

1312200021132 is a `hidden beast` number, since 1 + 312 + 200 + 0 + 21 + 132 = 666.

It is a super-2 number, since 2×13122000211322 (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 9263028 + ... + 9403620.

Almost surely, 21312200021132 is an apocalyptic number.

1312200021132 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 1312200021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327801360976).

1312200021132 is an abundant number, since it is smaller than the sum of its proper divisors (3343402700820).

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

1312200021132 is a wasteful number, since it uses less digits than its factorization.

1312200021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140678 (or 140666 counting only the distinct ones).

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

Adding to 1312200021132 its reverse (2311200022131), we get a palindrome (3623400043263).

Subtracting 1312200021132 from its reverse (2311200022131), we obtain a palindrome (999000000999).

The spelling of 1312200021132 in words is "one trillion, three hundred twelve billion, two hundred million, twenty-one thousand, one hundred thirty-two".