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130030917408 = 2535724753137
BaseRepresentation
bin111100100011001110…
…0100101011100100000
3110102122002010000100000
41321012130211130200
54112300403324113
6135422501500000
712252200363400
oct1710634453440
9412562100300
10130030917408
1150167076907
122124b111600
13c35340b262
146417636800
1535b091e373
hex1e46725720

130030917408 has 864 divisors, whose sum is σ = 467553026304. Its totient is φ = 35414765568.

The previous prime is 130030917377. The next prime is 130030917463. The reversal of 130030917408 is 804719030031.

It is a happy number.

130030917408 is a `hidden beast` number, since 1 + 300 + 309 + 1 + 7 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1300309174082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 949130716 + ... + 949130852.

It is an arithmetic number, because the mean of its divisors is an integer number (541149336).

Almost surely, 2130030917408 is an apocalyptic number.

130030917408 is a gapful number since it is divisible by the number (18) 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 130030917408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233776513152).

130030917408 is an abundant number, since it is smaller than the sum of its proper divisors (337522108896).

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

130030917408 is a wasteful number, since it uses less digits than its factorization.

130030917408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 130030917408 its reverse (804719030031), we get a palindrome (934749947439).

The spelling of 130030917408 in words is "one hundred thirty billion, thirty million, nine hundred seventeen thousand, four hundred eight".