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103134124440 = 233253112772767
BaseRepresentation
bin110000000001101000…
…1011101100110011000
3100212012121001100201200
41200003101131212120
53142204313440230
6115213522114200
710310521410354
oct1400321354630
9325177040650
10103134124440
113a814585196
1217ba34ab960
139957c24b49
144dc53bc464
152a39474160
hex180345d998

103134124440 has 192 divisors, whose sum is σ = 348727541760. Its totient is φ = 26405326080.

The previous prime is 103134124439. The next prime is 103134124517. The reversal of 103134124440 is 44421431301.

103134124440 is a `hidden beast` number, since 10 + 31 + 341 + 244 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380937 + ... + 1453703.

It is an arithmetic number, because the mean of its divisors is an integer number (1816289280).

Almost surely, 2103134124440 is an apocalyptic number.

103134124440 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 103134124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363770880).

103134124440 is an abundant number, since it is smaller than the sum of its proper divisors (245593417320).

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

103134124440 is a wasteful number, since it uses less digits than its factorization.

103134124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72942 (or 72935 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103134124440 its reverse (44421431301), we get a palindrome (147555555741).

The spelling of 103134124440 in words is "one hundred three billion, one hundred thirty-four million, one hundred twenty-four thousand, four hundred forty".