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1002200120 = 23597258299
BaseRepresentation
bin111011101111000…
…101110000111000
32120211211001002222
4323233011300320
54023030400440
6243240343212
733556363145
oct7357056070
92524731088
101002200120
11474796869
1223b774b08
1312c82a72c
14971613cc
155ceb82b5
hex3bbc5c38

1002200120 has 32 divisors (see below), whose sum is σ = 2278206000. Its totient is φ = 396745728.

The previous prime is 1002200117. The next prime is 1002200123. The reversal of 1002200120 is 210022001.

It is an interprime number because it is at equal distance from previous prime (1002200117) and next prime (1002200123).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1002200098 and 1002200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125270 + ... + 133029.

Almost surely, 21002200120 is an apocalyptic number.

1002200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200120 is an abundant number, since it is smaller than the sum of its proper divisors (1276005880).

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

1002200120 is a wasteful number, since it uses less digits than its factorization.

1002200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258407 (or 258403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1002200120 is about 31657.5444404647. The cubic root of 1002200120 is about 1000.7328361533.

Adding to 1002200120 its reverse (210022001), we get a palindrome (1212222121).

The spelling of 1002200120 in words is "one billion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 258299 516598 1033196 1291495 2066392 2582990 5165980 10331960 25055003 50110006 100220012 125275015 200440024 250550030 501100060 1002200120