Search a number
-
+
130312120020 = 22352974892023
BaseRepresentation
bin111100101011100110…
…1010010011011010100
3110110100200020120210120
41321113031102123110
54113334400320040
6135510424551540
712262153513155
oct1712715223324
9413320216716
10130312120020
11502a0881565
12213093225b0
13c399757134
146442b1592c
1535ca4687d0
hex1e573526d4

130312120020 has 48 divisors (see below), whose sum is σ = 377455800960. Its totient is φ = 33551625856.

The previous prime is 130312119943. The next prime is 130312120021. The reversal of 130312120020 is 20021213031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37444272 + ... + 37447751.

It is an arithmetic number, because the mean of its divisors is an integer number (7863662520).

Almost surely, 2130312120020 is an apocalyptic number.

130312120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130312120020 is an abundant number, since it is smaller than the sum of its proper divisors (247143680940).

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

130312120020 is a wasteful number, since it uses less digits than its factorization.

130312120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74892064 (or 74892062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130312120020 its reverse (20021213031), we get a palindrome (150333333051).

The spelling of 130312120020 in words is "one hundred thirty billion, three hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 74892023 149784046 224676069 299568092 374460115 449352138 748920230 898704276 1123380345 1497840460 2171868667 2246760690 4343737334 4493521380 6515606001 8687474668 10859343335 13031212002 21718686670 26062424004 32578030005 43437373340 65156060010 130312120020