Search a number
-
+
1333013100000 = 253558235399
BaseRepresentation
bin10011011001011101110…
…001011011010111100000
311201102201222022200202120
4103121131301123113200
5133320002323200000
62500213332544240
7165210210253341
oct23313561332740
94642658280676
101333013100000
1147436716390a
1219641b482080
13989197ac63a
1448737c4a0c8
1524a1c32e6a0
hex1365dc5b5e0

1333013100000 has 288 divisors, whose sum is σ = 4379794675200. Its totient is φ = 354972480000.

The previous prime is 1333013099959. The next prime is 1333013100019. The reversal of 1333013100000 is 13103331.

It is a super-2 number, since 2×13330131000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246897301 + ... + 246902699.

It is an arithmetic number, because the mean of its divisors is an integer number (15207620400).

Almost surely, 21333013100000 is an apocalyptic number.

1333013100000 is a gapful number since it is divisible by the number (10) 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 1333013100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189897337600).

1333013100000 is an abundant number, since it is smaller than the sum of its proper divisors (3046781575200).

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

1333013100000 is an frugal number, since it uses more digits than its factorization.

1333013100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1333013100000 its reverse (13103331), we get a palindrome (1333026203331).

The spelling of 1333013100000 in words is "one trillion, three hundred thirty-three billion, thirteen million, one hundred thousand".