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1003331132200 = 23525016655661
BaseRepresentation
bin11101001100110110011…
…00100001101100101000
310112220202212112110210201
432212123030201230220
5112414310232212300
62044531324121544
7132326323623505
oct16463314415450
93486685473721
101003331132200
113575682a3911
121425516962b4
13737c945b297
14367c0a084ac
151b173e1866a
hexe99b321b28

1003331132200 has 24 divisors (see below), whose sum is σ = 2332744882830. Its totient is φ = 401332452800.

The previous prime is 1003331132191. The next prime is 1003331132203. The reversal of 1003331132200 is 22311333001.

It can be written as a sum of positive squares in 3 ways, for example, as 828059960484 + 175271171716 = 909978^2 + 418654^2 .

It is not an unprimeable number, because it can be changed into a prime (1003331132203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2508327631 + ... + 2508328030.

Almost surely, 21003331132200 is an apocalyptic number.

1003331132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003331132200 is an abundant number, since it is smaller than the sum of its proper divisors (1329413750630).

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

1003331132200 is a wasteful number, since it uses less digits than its factorization.

1003331132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016655677 (or 5016655668 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1003331132200 its reverse (22311333001), we get a palindrome (1025642465201).

The spelling of 1003331132200 in words is "one trillion, three billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5016655661 10033311322 20066622644 25083278305 40133245288 50166556610 100333113220 125416391525 200666226440 250832783050 501665566100 1003331132200