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1047010212 = 22361721121
BaseRepresentation
bin111110011010000…
…001101110100100
32200222010122000000
4332122001232210
54121013311322
6251521021300
734642303623
oct7632015644
92628118000
101047010212
114980122a6
12252784830
13138bb9791
149d0a76ba
1561dba3ac
hex3e681ba4

1047010212 has 84 divisors (see below), whose sum is σ = 2908879596. Its totient is φ = 328458240.

The previous prime is 1047010207. The next prime is 1047010243. The reversal of 1047010212 is 2120107401.

1047010212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 791521956 + 255488256 = 28134^2 + 15984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39012 + ... + 60132.

It is an arithmetic number, because the mean of its divisors is an integer number (34629519).

Almost surely, 21047010212 is an apocalyptic number.

1047010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454439798).

1047010212 is an abundant number, since it is smaller than the sum of its proper divisors (1861869384).

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

1047010212 is a wasteful number, since it uses less digits than its factorization.

1047010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21160 (or 21143 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1047010212 is about 32357.5371745131. The cubic root of 1047010212 is about 1015.4307382577.

Adding to 1047010212 its reverse (2120107401), we get a palindrome (3167117613).

The spelling of 1047010212 in words is "one billion, forty-seven million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2754 2916 4131 5508 8262 12393 16524 21121 24786 42242 49572 63363 84484 126726 190089 253452 359057 380178 570267 718114 760356 1077171 1140534 1436228 1710801 2154342 2281068 3231513 3421602 4308684 5132403 6463026 6843204 9694539 10264806 12926052 15397209 19389078 20529612 29083617 30794418 38778156 58167234 61588836 87250851 116334468 174501702 261752553 349003404 523505106 1047010212