| Base | Representation |
|---|---|
| bin | 101111011111110101… |
| … | …1100000001010110100 |
| 3 | 100202021120011221200020 |
| 4 | 1132333223200022310 |
| 5 | 3132344011200040 |
| 6 | 114505212045140 |
| 7 | 10240441354620 |
| oct | 1367753401264 |
| 9 | 322246157606 |
| 10 | 102000100020 |
| 11 | 3a292440925 |
| 12 | 179277637b0 |
| 13 | 9806cc0490 |
| 14 | 4d18944180 |
| 15 | 29beb1bcd0 |
| hex | 17bfae02b4 |
102000100020 has 192 divisors, whose sum is σ = 361008969216. Its totient is φ = 20939212800.
The previous prime is 102000100003. The next prime is 102000100021. The reversal of 102000100020 is 20001000201.
It is a happy number.
It is a super-3 number, since 3×1020001000203 (a number of 34 digits) contains 333 as substring.
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 = 102000099981 and 102000100008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102000100021) 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, 50431 + ... + 454470.
It is an arithmetic number, because the mean of its divisors is an integer number (1880255048).
Almost surely, 2102000100020 is an apocalyptic number.
102000100020 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 102000100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180504484608).
102000100020 is an abundant number, since it is smaller than the sum of its proper divisors (259008869196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102000100020 is a wasteful number, since it uses less digits than its factorization.
102000100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 504970 (or 504968 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 102000100020 its reverse (20001000201), we get a palindrome (122001100221).
The spelling of 102000100020 in words is "one hundred two billion, one hundred thousand, twenty".
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