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104130420420 = 2235133147591553
BaseRepresentation
bin110000011111010101…
…0000001111011000100
3100221210000202102212210
41200332222001323010
53201224341423140
6115500432143420
710344306653355
oct1407652017304
9327700672783
10104130420420
11401859a90a4
1218221097b70
139a864660b0
14507b843d2c
152a96b72d80
hex183ea81ec4

104130420420 has 384 divisors, whose sum is σ = 336845537280. Its totient is φ = 23850639360.

The previous prime is 104130420367. The next prime is 104130420421. The reversal of 104130420420 is 24024031401.

It is not an unprimeable number, because it can be changed into a prime (104130420421) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 67050364 + ... + 67051916.

It is an arithmetic number, because the mean of its divisors is an integer number (877201920).

Almost surely, 2104130420420 is an apocalyptic number.

104130420420 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 104130420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168422768640).

104130420420 is an abundant number, since it is smaller than the sum of its proper divisors (232715116860).

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

104130420420 is a wasteful number, since it uses less digits than its factorization.

104130420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 104130420420 its reverse (24024031401), we get a palindrome (128154451821).

The spelling of 104130420420 in words is "one hundred four billion, one hundred thirty million, four hundred twenty thousand, four hundred twenty".