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130443250120 = 23517857223837
BaseRepresentation
bin111100101111100000…
…1100000100111001000
3110110200210222200110221
41321133001200213020
54114121433000440
6135531431315424
712265335221521
oct1713701404710
9413623880427
10130443250120
11503588a5547
122134521bb74
13c3ba97a101
1464562cb848
1535d6c1bd4a
hex1e5f0609c8

130443250120 has 64 divisors (see below), whose sum is σ = 311125866480. Its totient is φ = 49050525696.

The previous prime is 130443250117. The next prime is 130443250169. The reversal of 130443250120 is 21052344031.

130443250120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 92984744356 + 37458505764 = 304934^2 + 193542^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470842 + ... + 694678.

Almost surely, 2130443250120 is an apocalyptic number.

130443250120 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 130443250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155562933240).

130443250120 is an abundant number, since it is smaller than the sum of its proper divisors (180682616360).

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

130443250120 is a wasteful number, since it uses less digits than its factorization.

130443250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224722 (or 224718 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 130443250120 its reverse (21052344031), we get a palindrome (151495594151).

The spelling of 130443250120 in words is "one hundred thirty billion, four hundred forty-three million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 857 1714 3428 4285 6856 8570 14569 17140 29138 34280 58276 72845 116552 145690 223837 291380 447674 582760 895348 1119185 1790696 2238370 3805229 4476740 7610458 8953480 15220916 19026145 30441832 38052290 76104580 152209160 191828309 383656618 767313236 959141545 1534626472 1918283090 3261081253 3836566180 6522162506 7673132360 13044325012 16305406265 26088650024 32610812530 65221625060 130443250120