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1003312130200 = 2352174716073907
BaseRepresentation
bin11101001100110100001…
…00000010100010011000
310112220201112210001221221
432212122010002202120
5112414240401131300
62044525404541424
7132326003252212
oct16463204024230
93486645701857
101003312130200
113575585a5386
12142547251874
13737c55371b3
14367bc29d5b2
151b17241331a
hexe99a102898

1003312130200 has 192 divisors, whose sum is σ = 2524685552640. Its totient is φ = 369356359680.

The previous prime is 1003312130137. The next prime is 1003312130207. The reversal of 1003312130200 is 20312133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003312130207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256796647 + ... + 256800553.

It is an arithmetic number, because the mean of its divisors is an integer number (13149403920).

Almost surely, 21003312130200 is an apocalyptic number.

1003312130200 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 1003312130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262342776320).

1003312130200 is an abundant number, since it is smaller than the sum of its proper divisors (1521373422440).

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

1003312130200 is a wasteful number, since it uses less digits than its factorization.

1003312130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5585 counting only the distinct ones).

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

Adding to 1003312130200 its reverse (20312133001), we get a palindrome (1023624263201).

The spelling of 1003312130200 in words is "one trillion, three billion, three hundred twelve million, one hundred thirty thousand, two hundred".