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130420413152 = 254322937523
BaseRepresentation
bin111100101110110101…
…0011001001011100000
3110110122020000110001022
41321131222121023200
54114100111210102
6135525254025012
712264640135451
oct1713552311340
9413566013038
10130420413152
1150346a17817
1221339648168
13c3b6012603
146453265128
1535d4c0a5a2
hex1e5da992e0

130420413152 has 72 divisors (see below), whose sum is σ = 263807586504. Its totient is φ = 63467867904.

The previous prime is 130420413139. The next prime is 130420413173. The reversal of 130420413152 is 251314024031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17332463 + ... + 17339985.

It is an arithmetic number, because the mean of its divisors is an integer number (3663994257).

Almost surely, 2130420413152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130420413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131903793252).

130420413152 is an abundant number, since it is smaller than the sum of its proper divisors (133387173352).

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

130420413152 is an equidigital number, since it uses as much as digits as its factorization.

130420413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 130420413152 its reverse (251314024031), we get a palindrome (381734437183).

The spelling of 130420413152 in words is "one hundred thirty billion, four hundred twenty million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 86 172 293 344 586 688 1172 1376 1849 2344 3698 4688 7396 7523 9376 12599 14792 15046 25198 29584 30092 50396 59168 60184 100792 120368 201584 240736 323489 403168 541757 646978 1083514 1293956 2167028 2204239 2587912 4334056 4408478 5175824 8668112 8816956 10351648 13910027 17336224 17633912 27820054 35267824 55640108 70535648 94782277 111280216 189564554 222560432 379129108 445120864 758258216 1516516432 3033032864 4075637911 8151275822 16302551644 32605103288 65210206576 130420413152