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2003430343002 = 23112177313716231
BaseRepresentation
bin11101001001110101110…
…000010000000101011010
321002112012111122022220220
4131021311300100011122
5230311011131434002
64132210241100510
7264512604640044
oct35116560200532
97075174568826
102003430343002
11702717221300
12284340927736
13116bcc15232a
146cd762b8a94
15371a922a7bc
hex1d275c1015a

2003430343002 has 192 divisors, whose sum is σ = 4761987293952. Its totient is φ = 559413043200.

The previous prime is 2003430342973. The next prime is 2003430343049.

2003430343002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20034303430022 (a number of 25 digits) contains 22 as substring.

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, 123424227 + ... + 123440457.

It is an arithmetic number, because the mean of its divisors is an integer number (24802017156).

Almost surely, 22003430343002 is an apocalyptic number.

2003430343002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003430343002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380993646976).

2003430343002 is an abundant number, since it is smaller than the sum of its proper divisors (2758556950950).

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

2003430343002 is a wasteful number, since it uses less digits than its factorization.

2003430343002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16485 (or 16474 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 2003430 and 343002, that added together give a palindrome (2346432).

The spelling of 2003430343002 in words is "two trillion, three billion, four hundred thirty million, three hundred forty-three thousand, two".