Search a number
-
+
1310220023130 = 232541355073177
BaseRepresentation
bin10011000100001111001…
…100101111010101011010
311122020220111010102100100
4103010033030233111122
5132431312311220010
62441523510120230
7163442321304234
oct23041714572532
94566814112310
101310220023130
114657300558a7
12191b1a050076
139672655c9c5
14475b4a23254
15241362952c0
hex1310f32f55a

1310220023130 has 48 divisors (see below), whose sum is σ = 3489659193384. Its totient is φ = 340870248960.

The previous prime is 1310220023069. The next prime is 1310220023131. The reversal of 1310220023130 is 313200220131.

1310220023130 is a `hidden beast` number, since 1 + 310 + 2 + 200 + 23 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 572938483329 + 737281539801 = 756927^2 + 858651^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1310220023131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177532899 + ... + 177540278.

Almost surely, 21310220023130 is an apocalyptic number.

1310220023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310220023130 is an abundant number, since it is smaller than the sum of its proper divisors (2179439170254).

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

1310220023130 is a wasteful number, since it uses less digits than its factorization.

1310220023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355073231 (or 355073228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310220023130 its reverse (313200220131), we get a palindrome (1623420243261).

The spelling of 1310220023130 in words is "one trillion, three hundred ten billion, two hundred twenty million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 355073177 710146354 1065219531 1775365885 2130439062 3195658593 3550731770 5326097655 6391317186 10652195310 14558000257 15978292965 29116000514 31956585930 43674000771 72790001285 87348001542 131022002313 145580002570 218370003855 262044004626 436740007710 655110011565 1310220023130