| Base | Representation |
|---|---|
| bin | 10110110000101010010100… |
| … | …100110110011010001010100 |
| 3 | 111010102120011212111221102020 |
| 4 | 112300222110212303101110 |
| 5 | 101110023322224000040 |
| 6 | 552521433124413140 |
| 7 | 30041026056365166 |
| oct | 2660522446632124 |
| 9 | 433376155457366 |
| 10 | 100101001000020 |
| 11 | 29993661489419 |
| 12 | b2882b28471b0 |
| 13 | 43b163a152a97 |
| 14 | 1aa0cb2ba0936 |
| 15 | b88ccb836cd0 |
| hex | 5b0a949b3454 |
100101001000020 has 192 divisors, whose sum is σ = 289957748371200. Its totient is φ = 25783207096320.
The previous prime is 100101001000003. The next prime is 100101001000027. The reversal of 100101001000020 is 20000100101001.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 100101000999972 and 100101001000008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100101001000027) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228416671 + ... + 228854489.
It is an arithmetic number, because the mean of its divisors is an integer number (1510196606100).
Almost surely, 2100101001000020 is an apocalyptic number.
100101001000020 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 100101001000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144978874185600).
100101001000020 is an abundant number, since it is smaller than the sum of its proper divisors (189856747371180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100101001000020 is a wasteful number, since it uses less digits than its factorization.
100101001000020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 438618 (or 438616 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 100101001000020 its reverse (20000100101001), we get a palindrome (120101101101021).
The spelling of 100101001000020 in words is "one hundred trillion, one hundred one billion, one million, twenty", and thus it is an aban number.
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.077 sec. • engine limits •