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1010222010 = 233573731433
BaseRepresentation
bin111100001101101…
…100001110111010
32121101220121002000
4330031230032322
54032104101020
6244124321430
734014513450
oct7415541672
92541817060
101010222010
11479275826
122423a3276
131313a8b05
149824c9d0
155da50090
hex3c36c3ba

1010222010 has 128 divisors (see below), whose sum is σ = 3089180160. Its totient is φ = 230128128.

The previous prime is 1010221973. The next prime is 1010222011. The reversal of 1010222010 is 102220101.

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 = 1010221983 and 1010222001.

It is not an unprimeable number, because it can be changed into a prime (1010222011) 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 63 ways as a sum of consecutive naturals, for example, 704254 + ... + 705686.

It is an arithmetic number, because the mean of its divisors is an integer number (24134220).

Almost surely, 21010222010 is an apocalyptic number.

1010222010 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 1010222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544590080).

1010222010 is an abundant number, since it is smaller than the sum of its proper divisors (2078958150).

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

1010222010 is a wasteful number, since it uses less digits than its factorization.

1010222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1010222010 is about 31783.9898376525. The cubic root of 1010222010 is about 1003.3957922092.

Adding to 1010222010 its reverse (102220101), we get a palindrome (1112442111).

The spelling of 1010222010 in words is "one billion, ten million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 373 378 630 746 945 1119 1433 1865 1890 2238 2611 2866 3357 3730 4299 5222 5595 6714 7165 7833 8598 10031 10071 11190 12897 13055 14330 15666 16785 20062 20142 21495 23499 25794 26110 30093 33570 38691 39165 42990 46998 50155 50355 60186 64485 70497 77382 78330 90279 100310 100710 117495 128970 140994 150465 180558 193455 234990 270837 300930 352485 386910 451395 534509 541674 704970 902790 1069018 1354185 1603527 2672545 2708370 3207054 3741563 4810581 5345090 7483126 8017635 9621162 11224689 14431743 16035270 18707815 22449378 24052905 28863486 33674067 37415630 48105810 56123445 67348134 72158715 101022201 112246890 144317430 168370335 202044402 336740670 505111005 1010222010