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1010404513132 = 227217231619433
BaseRepresentation
bin11101011010000001100…
…11010101010101101100
310120121000211100110022021
432231000303111111230
5113023302023410012
62052101243155524
7132666523440400
oct16550063252554
93517024313267
101010404513132
1135a568008683
121439a6515ba4
1374385a178a1
1436c921c7100
151b439dca007
hexeb40cd556c

1010404513132 has 216 divisors, whose sum is σ = 2292708340608. Its totient is φ = 387904204800.

The previous prime is 1010404513121. The next prime is 1010404513147. The reversal of 1010404513132 is 2313154040101.

1010404513132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010404513097 and 1010404513106.

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, 107109088 + ... + 107118520.

Almost surely, 21010404513132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010404513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146354170304).

1010404513132 is an abundant number, since it is smaller than the sum of its proper divisors (1282303827476).

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

1010404513132 is a wasteful number, since it uses less digits than its factorization.

1010404513132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1010404513132 its reverse (2313154040101), we get a palindrome (3323558553233).

The spelling of 1010404513132 in words is "one trillion, ten billion, four hundred four million, five hundred thirteen thousand, one hundred thirty-two".