Search a number
-
+
1022021010 = 23355964157
BaseRepresentation
bin111100111010101…
…100110110010010
32122020010001021000
4330322230312102
54043114133020
6245225242430
734220015043
oct7472546622
92566101230
101022021010
114849a456a
12246333416
1313397a47a
1499a408ca
155ead1090
hex3ceacd92

1022021010 has 64 divisors (see below), whose sum is σ = 2771625600. Its totient is φ = 267915456.

The previous prime is 1022021009. The next prime is 1022021017. The reversal of 1022021010 is 101202201.

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 = 1022020983 and 1022021001.

It is not an unprimeable number, because it can be changed into a prime (1022021017) 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 31 ways as a sum of consecutive naturals, for example, 16149 + ... + 48008.

It is an arithmetic number, because the mean of its divisors is an integer number (43306650).

Almost surely, 21022021010 is an apocalyptic number.

1022021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022021010 is an abundant number, since it is smaller than the sum of its proper divisors (1749604590).

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

1022021010 is a wasteful number, since it uses less digits than its factorization.

1022021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64232 (or 64226 counting only the distinct ones).

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

The square root of 1022021010 is about 31969.0633269103. The cubic root of 1022021010 is about 1007.2871057698.

Adding to 1022021010 its reverse (101202201), we get a palindrome (1123223211).

The spelling of 1022021010 in words is "one billion, twenty-two million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7965 15930 64157 128314 192471 320785 384942 577413 641570 962355 1154826 1732239 1924710 2887065 3464478 3785263 5774130 7570526 8661195 11355789 17322390 18926315 22711578 34067367 37852630 56778945 68134734 102202101 113557890 170336835 204404202 340673670 511010505 1022021010