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1033112112 = 243131164299
BaseRepresentation
bin111101100101000…
…000101000110000
32122222222112101120
4331211000220300
54103434041422
6250303102240
734413210444
oct7545005060
92588875346
101033112112
1149018a46a
12249ba1980
13136061856
149b2ca824
1560a7245c
hex3d940a30

1033112112 has 40 divisors (see below), whose sum is σ = 2689262400. Its totient is φ = 341739840.

The previous prime is 1033112081. The next prime is 1033112189. The reversal of 1033112112 is 2112113301.

It is a happy number.

It is a super-2 number, since 2×10331121122 = 2134641271922201088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033112091 and 1033112100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75862 + ... + 88437.

It is an arithmetic number, because the mean of its divisors is an integer number (67231560).

Almost surely, 21033112112 is an apocalyptic number.

1033112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033112112 is an abundant number, since it is smaller than the sum of its proper divisors (1656150288).

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

1033112112 is a wasteful number, since it uses less digits than its factorization.

1033112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164441 (or 164435 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1033112112 is about 32142.0614149124. The cubic root of 1033112112 is about 1010.9177398361.

Adding to 1033112112 its reverse (2112113301), we get a palindrome (3145225413).

The spelling of 1033112112 in words is "one billion, thirty-three million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 164299 328598 492897 657196 985794 1314392 1971588 2628784 3943176 7886352 21523169 43046338 64569507 86092676 129139014 172185352 258278028 344370704 516556056 1033112112