Search a number
-
+
1021112010 = 232511345689
BaseRepresentation
bin111100110111001…
…110111011001010
32122011101212100100
4330313032323022
54042401041020
6245153550230
734206210642
oct7467167312
92564355310
101021112010
11484433626
12245b75376
1313371c7b9
1499885522
155e9a1a90
hex3cdceeca

1021112010 has 24 divisors (see below), whose sum is σ = 2654891460. Its totient is φ = 272296512.

The previous prime is 1021111951. The next prime is 1021112017. The reversal of 1021112010 is 102111201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1015250769 + 5861241 = 31863^2 + 2421^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1021111983 and 1021112001.

It is not an unprimeable number, because it can be changed into a prime (1021112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5672755 + ... + 5672934.

Almost surely, 21021112010 is an apocalyptic number.

1021112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021112010 is an abundant number, since it is smaller than the sum of its proper divisors (1633779450).

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

1021112010 is a wasteful number, since it uses less digits than its factorization.

1021112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345702 (or 11345699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1021112010 is about 31954.8432948747. The cubic root of 1021112010 is about 1006.9883853714.

Adding to 1021112010 its reverse (102111201), we get a palindrome (1123223211).

The spelling of 1021112010 in words is "one billion, twenty-one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11345689 22691378 34037067 56728445 68074134 102111201 113456890 170185335 204222402 340370670 510556005 1021112010