Search a number
-
+
13010120020 = 2252932220157
BaseRepresentation
bin11000001110111011…
…01010110101010100
31020120200211120112001
430013131222311110
5203121042320040
65550552005044
7640255124032
oct140735526524
936520746461
1013010120020
115576967807
122631090784
1312c4506091
148b5c41552
155122a059a
hex30776ad54

13010120020 has 24 divisors (see below), whose sum is σ = 27414510984. Its totient is φ = 5186284416.

The previous prime is 13010119999. The next prime is 13010120023. The reversal of 13010120020 is 2002101031.

It can be written as a sum of positive squares in 4 ways, for example, as 1787260176 + 11222859844 = 42276^2 + 105938^2 .

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 = 13010119979 and 13010120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010120023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104219 + ... + 1115938.

It is an arithmetic number, because the mean of its divisors is an integer number (1142271291).

Almost surely, 213010120020 is an apocalyptic number.

13010120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010120020 is an abundant number, since it is smaller than the sum of its proper divisors (14404390964).

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

13010120020 is a wasteful number, since it uses less digits than its factorization.

13010120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220459 (or 2220457 counting only the distinct ones).

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

Adding to 13010120020 its reverse (2002101031), we get a palindrome (15012221051).

The spelling of 13010120020 in words is "thirteen billion, ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 2220157 4440314 8880628 11100785 22201570 44403140 650506001 1301012002 2602024004 3252530005 6505060010 13010120020