| Base | Representation |
|---|---|
| bin | 10110110101000001101110… |
| … | …001000000111100100010000 |
| 3 | 111011111020112112110100100000 |
| 4 | 112311001232020013210100 |
| 5 | 101124432223300230300 |
| 6 | 553311330055330000 |
| 7 | 30101506311423660 |
| oct | 2665015610074420 |
| 9 | 434436475410300 |
| 10 | 100401003133200 |
| 11 | 29a9990a902380 |
| 12 | b316478980900 |
| 13 | 4403a0a54a613 |
| 14 | 1ab16122da1a0 |
| 15 | b919d92b7c00 |
| hex | 5b506e207910 |
100401003133200 has 2880 divisors, whose sum is σ = 479579604940800. Its totient is φ = 19539980697600.
The previous prime is 100401003133169. The next prime is 100401003133237. The reversal of 100401003133200 is 2331300104001.
100401003133200 is a `hidden beast` number, since 1 + 0 + 0 + 401 + 0 + 0 + 31 + 33 + 200 = 666.
It is a super-2 number, since 2×1004010031332002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 6.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12656116434 + ... + 12656124366.
It is an arithmetic number, because the mean of its divisors is an integer number (166520696160).
Almost surely, 2100401003133200 is an apocalyptic number.
100401003133200 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 100401003133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239789802470400).
100401003133200 is an abundant number, since it is smaller than the sum of its proper divisors (379178601807600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100401003133200 is a wasteful number, since it uses less digits than its factorization.
100401003133200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8092 (or 8069 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 100401003133200 its reverse (2331300104001), we get a palindrome (102732303237201).
The spelling of 100401003133200 in words is "one hundred trillion, four hundred one billion, three million, one hundred thirty-three thousand, two hundred".
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