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200443344002 = 21122275636481
BaseRepresentation
bin1011101010101101011…
…0101011010010000010
3201011101020111220010122
42322223112223102002
511241001444002002
6232025444300242
720324113212056
oct2725326532202
9634336456118
10200443344002
117800a051100
1232a200a1682
1315b951283c5
1499b6d29c66
15533234a6a2
hex2eab5ab482

200443344002 has 48 divisors (see below), whose sum is σ = 332579804256. Its totient is φ = 90534153600.

The previous prime is 200443343987. The next prime is 200443344007.

200443344002 is nontrivially palindromic in base 10.

200443344002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200443344007) 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 23 ways as a sum of consecutive naturals, for example, 30924602 + ... + 30931082.

It is an arithmetic number, because the mean of its divisors is an integer number (6928745922).

Almost surely, 2200443344002 is an apocalyptic number.

200443344002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200443344002 is a deficient number, since it is larger than the sum of its proper divisors (132136460254).

200443344002 is a wasteful number, since it uses less digits than its factorization.

200443344002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 200443 and 344002, that added together give a palindrome (544445).

The spelling of 200443344002 in words is "two hundred billion, four hundred forty-three million, three hundred forty-four thousand, two".

Divisors: 1 2 11 22 121 227 242 454 563 1126 2497 4994 6193 6481 12386 12962 27467 54934 68123 71291 127801 136246 142582 255602 784201 1405811 1471187 1568402 2811622 2942374 3648803 7297606 15463921 16183057 30927842 32366114 40136833 80273666 178013627 356027254 441505163 828278281 883010326 1656556562 9111061091 18222122182 100221672001 200443344002