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1020430112 = 25132199931
BaseRepresentation
bin111100110100101…
…000011100100000
32122010010012221212
4330310220130200
54042212230422
6245131205252
734200340622
oct7464503440
92563105855
101020430112
11484008279
122458a6828
13133541300
1499748c12
155e8b99e2
hex3cd28720

1020430112 has 72 divisors (see below), whose sum is σ = 2290120560. Its totient is φ = 446135040.

The previous prime is 1020430111. The next prime is 1020430129. The reversal of 1020430112 is 2110340201.

It is a super-2 number, since 2×10204301122 = 2082555226952665088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020430111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97787 + ... + 107717.

It is an arithmetic number, because the mean of its divisors is an integer number (31807230).

Almost surely, 21020430112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145060280).

1020430112 is an abundant number, since it is smaller than the sum of its proper divisors (1269690448).

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

1020430112 is a wasteful number, since it uses less digits than its factorization.

1020430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1020430112 is about 31944.1718001892. The cubic root of 1020430112 is about 1006.7641800387.

Adding to 1020430112 its reverse (2110340201), we get a palindrome (3130770313).

The spelling of 1020430112 in words is "one billion, twenty million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 169 208 247 304 338 416 494 608 676 988 1352 1976 2704 3211 3952 5408 6422 7904 9931 12844 19862 25688 39724 51376 79448 102752 129103 158896 188689 258206 317792 377378 516412 754756 1032824 1509512 1678339 2065648 2452957 3019024 3356678 4131296 4905914 6038048 6713356 9811828 13426712 19623656 26853424 31888441 39247312 53706848 63776882 78494624 127553764 255107528 510215056 1020430112