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2003204023002 = 2327139722755541
BaseRepresentation
bin11101001001101000010…
…000111010001011011010
321002111121201210002020200
4131021220100322023122
5230310030212214002
64132131554203030
7264504156152010
oct35115020721332
97074551702220
102003204023002
117026104a1786
12284298b83476
13116b942b1080
146cd542048b0
1537194422b1c
hex1d26843a2da

2003204023002 has 192 divisors, whose sum is σ = 5420820996864. Its totient is φ = 520558202880.

The previous prime is 2003204022983. The next prime is 2003204023033.

2003204023002 is a `hidden beast` number, since 2 + 0 + 0 + 320 + 40 + 2 + 300 + 2 = 666.

2003204023002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36039352 + ... + 36094892.

It is an arithmetic number, because the mean of its divisors is an integer number (28233442692).

Almost surely, 22003204023002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003204023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710410498432).

2003204023002 is an abundant number, since it is smaller than the sum of its proper divisors (3417616973862).

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

2003204023002 is a wasteful number, since it uses less digits than its factorization.

2003204023002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55893 (or 55890 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The spelling of 2003204023002 in words is "two trillion, three billion, two hundred four million, twenty-three thousand, two".