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104231510400 = 2735223472063
BaseRepresentation
bin110000100010010101…
…1101010000110000000
3100222001001222100021010
41201010223222012000
53201431231313100
6115514443000520
710346645135343
oct1410453520600
9328031870233
10104231510400
1140227a74536
121824ab09140
139aa139ba54
14508b03a45a
152aa0990750
hex1844aea180

104231510400 has 192 divisors, whose sum is σ = 358239928320. Its totient is φ = 26586531840.

The previous prime is 104231510351. The next prime is 104231510441. The reversal of 104231510400 is 4015132401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15232 + ... + 456831.

It is an arithmetic number, because the mean of its divisors is an integer number (1865832960).

Almost surely, 2104231510400 is an apocalyptic number.

104231510400 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 104231510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179119964160).

104231510400 is an abundant number, since it is smaller than the sum of its proper divisors (254008417920).

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

104231510400 is a wasteful number, since it uses less digits than its factorization.

104231510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472113 (or 472096 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 104231510400 its reverse (4015132401), we get a palindrome (108246642801).

The spelling of 104231510400 in words is "one hundred four billion, two hundred thirty-one million, five hundred ten thousand, four hundred".