| Base | Representation |
|---|---|
| bin | 10110110000101100010010… |
| … | …111110011101011011000000 |
| 3 | 111010102202122121220202122021 |
| 4 | 112300230102332131123000 |
| 5 | 101110042143002144300 |
| 6 | 552522423342251224 |
| 7 | 30041132442245515 |
| oct | 2660542276353300 |
| 9 | 433382577822567 |
| 10 | 100103121131200 |
| 11 | 2999454a217350 |
| 12 | b2887a4886b14 |
| 13 | 43b18b746b985 |
| 14 | 1aa10345ab30c |
| 15 | b88da2a28d1a |
| hex | 5b0b12f9d6c0 |
100103121131200 has 504 divisors, whose sum is σ = 283683416443056. Its totient is φ = 34473415680000.
The previous prime is 100103121131197. The next prime is 100103121131201. The reversal of 100103121131200 is 2131121301001.
It is a happy number.
It is a super-2 number, since 2×1001031211312002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (100103121131201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940297174 + ... + 940403626.
It is an arithmetic number, because the mean of its divisors is an integer number (562863921514).
Almost surely, 2100103121131200 is an apocalyptic number.
100103121131200 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 100103121131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141841708221528).
100103121131200 is an abundant number, since it is smaller than the sum of its proper divisors (183580295311856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100103121131200 is a wasteful number, since it uses less digits than its factorization.
100103121131200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106633 (or 106595 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 16.
Adding to 100103121131200 its reverse (2131121301001), we get a palindrome (102234242432201).
The spelling of 100103121131200 in words is "one hundred trillion, one hundred three billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred".
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