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1003113430000 = 24541111380701
BaseRepresentation
bin11101001100011100011…
…10000011101111110000
310112220012200220001112021
432212032032003233300
5112413334014230000
62044453550041224
7132321041320303
oct16461616035760
93486180801467
101003113430000
1135746641aa40
121424b07a9214
1373793316706
143679db38b3a
151b15ec6411a
hexe98e383bf0

1003113430000 has 200 divisors, whose sum is σ = 2672902534896. Its totient is φ = 361536000000.

The previous prime is 1003113429973. The next prime is 1003113430003. The reversal of 1003113430000 is 343113001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003113430003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12389650 + ... + 12470350.

Almost surely, 21003113430000 is an apocalyptic number.

1003113430000 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 1003113430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336451267448).

1003113430000 is an abundant number, since it is smaller than the sum of its proper divisors (1669789104896).

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

1003113430000 is a wasteful number, since it uses less digits than its factorization.

1003113430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80853 (or 80832 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1003113430000 its reverse (343113001), we get a palindrome (1003456543001).

The spelling of 1003113430000 in words is "one trillion, three billion, one hundred thirteen million, four hundred thirty thousand".