Search a number
-
+
1021320105 = 35134722371
BaseRepresentation
bin111100111000000…
…001101110101001
32122011210102210120
4330320001232221
54042424220410
6245202233453
734211035431
oct7470015651
92564712716
101021320105
11484565a03
12246055889
13133793430
14998db2c1
155e9e3570
hex3ce01ba9

1021320105 has 48 divisors (see below), whose sum is σ = 1798810944. Its totient is φ = 491898240.

The previous prime is 1021320089. The next prime is 1021320107. The reversal of 1021320105 is 5010231201.

1021320105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021320105 - 24 = 1021320089 is a prime.

It is a super-2 number, since 2×10213201052 = 2086189513754422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021320107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429570 + ... + 431940.

It is an arithmetic number, because the mean of its divisors is an integer number (37475228).

Almost surely, 21021320105 is an apocalyptic number.

1021320105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1021320105 is a deficient number, since it is larger than the sum of its proper divisors (777490839).

1021320105 is a wasteful number, since it uses less digits than its factorization.

1021320105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1021320105 is about 31958.0992081820. The cubic root of 1021320105 is about 1007.0567862954.

Adding to 1021320105 its reverse (5010231201), we get a palindrome (6031551306).

The spelling of 1021320105 in words is "one billion, twenty-one million, three hundred twenty thousand, one hundred five".

Divisors: 1 3 5 13 15 39 47 65 141 195 235 611 705 1833 2209 2371 3055 6627 7113 9165 11045 11855 28717 30823 33135 35565 86151 92469 111437 143585 154115 334311 430755 462345 557185 1448681 1671555 4346043 5237539 7243405 15712617 21730215 26187695 68088007 78563085 204264021 340440035 1021320105