| Base | Representation |
|---|---|
| bin | 110000001001101011… |
| … | …1001010001010000000 |
| 3 | 100212220101222011021012 |
| 4 | 1200103113022022000 |
| 5 | 3143232414144440 |
| 6 | 115300403420052 |
| 7 | 10320306643424 |
| oct | 1402327121200 |
| 9 | 325811864235 |
| 10 | 103404053120 |
| 11 | 3a94298a645 |
| 12 | 18059984628 |
| 13 | 999bb24364 |
| 14 | 500d1a4b84 |
| 15 | 2a52ee2e65 |
| hex | 18135ca280 |
103404053120 has 128 divisors (see below), whose sum is σ = 262064140560. Its totient is φ = 38880608256.
The previous prime is 103404053099. The next prime is 103404053141. The reversal of 103404053120 is 21350404301.
It is an interprime number because it is at equal distance from previous prime (103404053099) and next prime (103404053141).
It can be written as a sum of positive squares in 8 ways, for example, as 63266334784 + 40137718336 = 251528^2 + 200344^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×1034040531203 (a number of 34 digits) contains 333 as substring.
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 15 ways as a sum of consecutive naturals, for example, 9536342 + ... + 9547178.
Almost surely, 2103404053120 is an apocalyptic number.
103404053120 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 103404053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131032070280).
103404053120 is an abundant number, since it is smaller than the sum of its proper divisors (158660087440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103404053120 is a wasteful number, since it uses less digits than its factorization.
103404053120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11750 (or 11738 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 23.
Adding to 103404053120 its reverse (21350404301), we get a palindrome (124754457421).
The spelling of 103404053120 in words is "one hundred three billion, four hundred four million, fifty-three thousand, one hundred twenty".
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