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1002112122 = 231115183517
BaseRepresentation
bin111011101110110…
…000010001111010
32120211122120101210
4323232300101322
54023020041442
6243234423550
733555545454
oct7356602172
92524576353
101002112122
11474736740
1223b731bb6
1312c7c966b
149713b2d4
155ce9c19c
hex3bbb047a

1002112122 has 16 divisors (see below), whose sum is σ = 2186426592. Its totient is φ = 303670320.

The previous prime is 1002112121. The next prime is 1002112123. The reversal of 1002112122 is 2212112001.

It is an interprime number because it is at equal distance from previous prime (1002112121) and next prime (1002112123).

It is a junction number, because it is equal to n+sod(n) for n = 1002112098 and 1002112107.

It is not an unprimeable number, because it can be changed into a prime (1002112121) 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, 7591693 + ... + 7591824.

It is an arithmetic number, because the mean of its divisors is an integer number (136651662).

Almost surely, 21002112122 is an apocalyptic number.

1002112122 is an abundant number, since it is smaller than the sum of its proper divisors (1184314470).

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

1002112122 is a wasteful number, since it uses less digits than its factorization.

1002112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183533.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002112122 is about 31656.1545674771. The cubic root of 1002112122 is about 1000.7035455742.

Adding to 1002112122 its reverse (2212112001), we get a palindrome (3214224123).

The spelling of 1002112122 in words is "one billion, two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 15183517 30367034 45550551 91101102 167018687 334037374 501056061 1002112122