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130440110220 = 2232571723271977
BaseRepresentation
bin111100101111011010…
…1100010000010001100
3110110200121002011100100
41321132311202002030
54114120132011340
6135531240131100
712265266433350
oct1713665420214
9413617064310
10130440110220
1150357050492
1221344166a90
13c3ba11ab94
146455b11460
1535d67eb830
hex1e5ed6208c

130440110220 has 576 divisors, whose sum is σ = 501965807616. Its totient is φ = 26714603520.

The previous prime is 130440110191. The next prime is 130440110233. The reversal of 130440110220 is 22011044031.

130440110220 is a `hidden beast` number, since 1 + 3 + 0 + 440 + 1 + 1 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130440110193 and 130440110202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133510372 + ... + 133511348.

It is an arithmetic number, because the mean of its divisors is an integer number (871468416).

Almost surely, 2130440110220 is an apocalyptic number.

130440110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130440110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250982903808).

130440110220 is an abundant number, since it is smaller than the sum of its proper divisors (371525697396).

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

130440110220 is a wasteful number, since it uses less digits than its factorization.

130440110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130440110220 its reverse (22011044031), we get a palindrome (152451154251).

The spelling of 130440110220 in words is "one hundred thirty billion, four hundred forty million, one hundred ten thousand, two hundred twenty".