Search a number
-
+
10310120020 = 2252920298761
BaseRepresentation
bin10011001101000011…
…11111001001010100
3222121112022100211001
421212201333021110
5132103342320040
64423021353044
7513331400644
oct114641771124
928545270731
1010310120020
114410880852
121bb8a08784
13c8401c645
146db40c524
1540521a59a
hex26687f254

10310120020 has 48 divisors (see below), whose sum is σ = 22411443600. Its totient is φ = 3979422720.

The previous prime is 10310120011. The next prime is 10310120077. The reversal of 10310120020 is 2002101301.

10310120020 is digitally balanced in base 2, 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 8 ways, for example, as 17205904 + 10292914116 = 4148^2 + 101454^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10310119979 and 10310120006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1172440 + ... + 1181200.

It is an arithmetic number, because the mean of its divisors is an integer number (466905075).

Almost surely, 210310120020 is an apocalyptic number.

10310120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310120020 is an abundant number, since it is smaller than the sum of its proper divisors (12101323580).

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

10310120020 is a wasteful number, since it uses less digits than its factorization.

10310120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10310120020 its reverse (2002101301), we get a palindrome (12312221321).

The spelling of 10310120020 in words is "ten billion, three hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2029 4058 8116 8761 10145 17522 20290 35044 40580 43805 58841 87610 117682 175220 235364 254069 294205 508138 588410 1016276 1176820 1270345 2540690 5081380 17776069 35552138 71104276 88880345 177760690 355521380 515506001 1031012002 2062024004 2577530005 5155060010 10310120020