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1002199120 = 24513963653
BaseRepresentation
bin111011101111000…
…101100001010000
32120211210222201221
4323233011201100
54023030332440
6243240334424
733556360216
oct7357054120
92524728657
101002199120
1147479603a
1223b774414
1312c82a140
1497160cb6
155ceb7d4a
hex3bbc5850

1002199120 has 40 divisors (see below), whose sum is σ = 2509355016. Its totient is φ = 370042368.

The previous prime is 1002199117. The next prime is 1002199127. The reversal of 1002199120 is 219912001.

1002199120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28259856 + 973939264 = 5316^2 + 31208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10021991202 = 2008806152257548800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002199127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480787 + ... + 482866.

Almost surely, 21002199120 is an apocalyptic number.

1002199120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002199120 is an abundant number, since it is smaller than the sum of its proper divisors (1507155896).

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

1002199120 is a wasteful number, since it uses less digits than its factorization.

1002199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963679 (or 963673 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 1002199120 is about 31657.5286464373. The cubic root of 1002199120 is about 1000.7325033079.

The spelling of 1002199120 in words is "one billion, two million, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 963653 1927306 3854612 4818265 7709224 9636530 12527489 15418448 19273060 25054978 38546120 50109956 62637445 77092240 100219912 125274890 200439824 250549780 501099560 1002199120