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1003143241320 = 2335111724336073
BaseRepresentation
bin11101001100011111111…
…11110001111001101000
310112220021202222121222020
432212033333301321220
5112413414132210240
62044500533024440
7132321552601623
oct16461777617150
93486252877866
101003143241320
113574812316a0
121424ba785120
137379955384c
14367a3a98dba
151b1626a20d0
hexe98fff1e68

1003143241320 has 384 divisors, whose sum is σ = 3496122483840. Its totient is φ = 228314972160.

The previous prime is 1003143241313. The next prime is 1003143241349. The reversal of 1003143241320 is 231423413001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 165177804 + ... + 165183876.

It is an arithmetic number, because the mean of its divisors is an integer number (9104485635).

Almost surely, 21003143241320 is an apocalyptic number.

1003143241320 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 1003143241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748061241920).

1003143241320 is an abundant number, since it is smaller than the sum of its proper divisors (2492979242520).

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

1003143241320 is a wasteful number, since it uses less digits than its factorization.

1003143241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1003143241320 its reverse (231423413001), we get a palindrome (1234566654321).

The spelling of 1003143241320 in words is "one trillion, three billion, one hundred forty-three million, two hundred forty-one thousand, three hundred twenty".