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130212302220 = 2233571113240893
BaseRepresentation
bin111100101000101000…
…0100000110110001100
3110110002201102022112000
41321101100200312030
54113133322132340
6135452501312300
712256532210160
oct1712120406614
9413081368460
10130212302220
115024a4a4a10
122129ba05690
13c381b78550
146433770ca0
1535c17ecd30
hex1e51420d8c

130212302220 has 384 divisors, whose sum is σ = 543919380480. Its totient is φ = 24975682560.

The previous prime is 130212302201. The next prime is 130212302243. The reversal of 130212302220 is 22203212031.

130212302220 is a `hidden beast` number, since 130 + 2 + 12 + 302 + 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 = 130212302193 and 130212302202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420094 + ... + 660986.

It is an arithmetic number, because the mean of its divisors is an integer number (1416456720).

Almost surely, 2130212302220 is an apocalyptic number.

130212302220 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 130212302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271959690240).

130212302220 is an abundant number, since it is smaller than the sum of its proper divisors (413707078260).

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

130212302220 is a wasteful number, since it uses less digits than its factorization.

130212302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240942 (or 240934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130212302220 its reverse (22203212031), we get a palindrome (152415514251).

The spelling of 130212302220 in words is "one hundred thirty billion, two hundred twelve million, three hundred two thousand, two hundred twenty".