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1013220020 = 225237721313
BaseRepresentation
bin111100011001001…
…000001010110100
32121121112220120102
4330121020022310
54033341020040
6244312453232
734052141141
oct7431101264
92547486512
101013220020
1147aa3321a
122433aa218
13131bb8597
14987cd3c8
155de43515
hex3c6482b4

1013220020 has 24 divisors (see below), whose sum is σ = 2128757064. Its totient is φ = 405098496.

The previous prime is 1013220017. The next prime is 1013220059. The reversal of 1013220020 is 200223101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21473956 + 991746064 = 4634^2 + 31492^2 .

It is a super-2 number, since 2×10132200202 = 2053229617857600800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013219983 and 1013220010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36884 + ... + 58196.

It is an arithmetic number, because the mean of its divisors is an integer number (88698211).

Almost surely, 21013220020 is an apocalyptic number.

1013220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013220020 is an abundant number, since it is smaller than the sum of its proper divisors (1115537044).

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

1013220020 is a wasteful number, since it uses less digits than its factorization.

1013220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23699 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1013220020 is about 31831.1171654405. The cubic root of 1013220020 is about 1004.3873959389.

Adding to 1013220020 its reverse (200223101), we get a palindrome (1213443121).

The spelling of 1013220020 in words is "one billion, thirteen million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 2377 4754 9508 11885 21313 23770 42626 47540 85252 106565 213130 426260 50661001 101322002 202644004 253305005 506610010 1013220020