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1003225543320 = 23357211131193123
BaseRepresentation
bin11101001100101001110…
…01101111001010011000
310112220111111212000002110
432212110321233022120
5112414101214341240
62044513033032320
7132323602263300
oct16462471571230
93486444760073
101003225543320
11357513735380
121425222556a0
13737b060b960
14367b09a0600
151b169a0cc80
hexe994e6f298

1003225543320 has 384 divisors, whose sum is σ = 4113127952640. Its totient is φ = 192426716160.

The previous prime is 1003225543297. The next prime is 1003225543339. The reversal of 1003225543320 is 233455223001.

It is a super-2 number, since 2×10032255433202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244279 + ... + 1437401.

It is an arithmetic number, because the mean of its divisors is an integer number (10711270710).

Almost surely, 21003225543320 is an apocalyptic number.

1003225543320 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 1003225543320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056563976320).

1003225543320 is an abundant number, since it is smaller than the sum of its proper divisors (3109902409320).

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

1003225543320 is a wasteful number, since it uses less digits than its factorization.

1003225543320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193175 (or 1193164 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 1003225543320 in words is "one trillion, three billion, two hundred twenty-five million, five hundred forty-three thousand, three hundred twenty".