Search a number
-
+
1012022010 = 232511244689
BaseRepresentation
bin111100010100100…
…011101011111010
32121112022001012200
4330110203223322
54033034201020
6244231051030
734036021326
oct7424435372
92545261180
101012022010
1147a29512a
12242b10a76
131318891bc
149859a986
155dca8590
hex3c523afa

1012022010 has 24 divisors (see below), whose sum is σ = 2631257460. Its totient is φ = 269872512.

The previous prime is 1012021999. The next prime is 1012022017. The reversal of 1012022010 is 102202101.

It can be written as a sum of positive squares in 2 ways, for example, as 955366281 + 56655729 = 30909^2 + 7527^2 .

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 = 1012021983 and 1012022001.

It is not an unprimeable number, because it can be changed into a prime (1012022017) 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 11 ways as a sum of consecutive naturals, for example, 5622255 + ... + 5622434.

Almost surely, 21012022010 is an apocalyptic number.

1012022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012022010 is an abundant number, since it is smaller than the sum of its proper divisors (1619235450).

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

1012022010 is a wasteful number, since it uses less digits than its factorization.

1012022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244702 (or 11244699 counting only the distinct ones).

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

The square root of 1012022010 is about 31812.2933785039. The cubic root of 1012022010 is about 1003.9913843221.

Adding to 1012022010 its reverse (102202101), we get a palindrome (1114224111).

The spelling of 1012022010 in words is "one billion, twelve million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11244689 22489378 33734067 56223445 67468134 101202201 112446890 168670335 202404402 337340670 506011005 1012022010