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130103113320 = 233251937514079
BaseRepresentation
bin111100100101010111…
…1111111011001101000
3110102211002221221111200
41321022233333121220
54112422344111240
6135434001124200
712254035134165
oct1711257773150
9412732857450
10130103113320
11501a38a7754
122126b329660
13c36536842b
14642306b06c
1535b6e30930
hex1e4abff668

130103113320 has 192 divisors, whose sum is σ = 457119936000. Its totient is φ = 31979764224.

The previous prime is 130103113307. The next prime is 130103113351. The reversal of 130103113320 is 23311301031.

It is a happy number.

130103113320 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 311 + 3 + 320 = 666.

It is a super-2 number, since 2×1301031133202 (a number of 23 digits) contains 22 as substring.

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 = 130103113293 and 130103113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960 + ... + 510119.

It is an arithmetic number, because the mean of its divisors is an integer number (2380833000).

Almost surely, 2130103113320 is an apocalyptic number.

130103113320 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 130103113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968000).

130103113320 is an abundant number, since it is smaller than the sum of its proper divisors (327016822680).

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

130103113320 is a wasteful number, since it uses less digits than its factorization.

130103113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514152 (or 514145 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130103113320 its reverse (23311301031), we get a palindrome (153414414351).

The spelling of 130103113320 in words is "one hundred thirty billion, one hundred three million, one hundred thirteen thousand, three hundred twenty".