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1020112110 = 233514925357
BaseRepresentation
bin111100110011011…
…010110011101110
32122002112001202000
4330303122303232
54042122041420
6245120313130
734164544533
oct7463326356
92562461660
101020112110
11483910366
122457727a6
1313345c644
14996a4d8a
155e855690
hex3ccdacee

1020112110 has 64 divisors (see below), whose sum is σ = 2738664000. Its totient is φ = 270193536.

The previous prime is 1020112087. The next prime is 1020112127. The reversal of 1020112110 is 112110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020112092 and 1020112101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27552 + ... + 52908.

It is an arithmetic number, because the mean of its divisors is an integer number (42791625).

Almost surely, 21020112110 is an apocalyptic number.

1020112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369332000).

1020112110 is an abundant number, since it is smaller than the sum of its proper divisors (1718551890).

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

1020112110 is a wasteful number, since it uses less digits than its factorization.

1020112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522 (or 25516 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1020112110 is about 31939.1939472492. The cubic root of 1020112110 is about 1006.6595881018.

Adding to 1020112110 its reverse (112110201), we get a palindrome (1132222311).

The spelling of 1020112110 in words is "one billion, twenty million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 4023 4470 6705 8046 13410 20115 25357 40230 50714 76071 126785 152142 228213 253570 380355 456426 684639 760710 1141065 1369278 2282130 3423195 3778193 6846390 7556386 11334579 18890965 22669158 34003737 37781930 56672895 68007474 102011211 113345790 170018685 204022422 340037370 510056055 1020112110