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101303020420 = 22572103370429
BaseRepresentation
bin101111001011000100…
…0010110101110000100
3100200110222111122020021
41132112020112232010
53124432033123140
6114312111144524
710214245315600
oct1362610265604
9320428448207
10101303020420
1139a64a06688
1217772215144
139725764444
144c9012a500
15297d824b4a
hex1796216b84

101303020420 has 36 divisors (see below), whose sum is σ = 247468809420. Its totient is φ = 34732463808.

The previous prime is 101303020397. The next prime is 101303020447. The reversal of 101303020420 is 24020303101.

It is a happy number.

101303020420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39432427776 + 61870592644 = 198576^2 + 248738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101303020394 and 101303020403.

It is an unprimeable number.

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, 51684235 + ... + 51686194.

It is an arithmetic number, because the mean of its divisors is an integer number (6874133595).

Almost surely, 2101303020420 is an apocalyptic number.

101303020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303020420 is an abundant number, since it is smaller than the sum of its proper divisors (146165789000).

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

101303020420 is a wasteful number, since it uses less digits than its factorization.

101303020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103370452 (or 103370443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101303020420 its reverse (24020303101), we get a palindrome (125323323521).

The spelling of 101303020420 in words is "one hundred one billion, three hundred three million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 103370429 206740858 413481716 516852145 723593003 1033704290 1447186006 2067408580 2894372012 3617965015 5065151021 7235930030 10130302042 14471860060 20260604084 25325755105 50651510210 101303020420