| Base | Representation |
|---|---|
| bin | 101111100000110011… |
| … | …0011000011110011100 |
| 3 | 100202100210210111111200 |
| 4 | 1133001212120132130 |
| 5 | 3132430232442340 |
| 6 | 114512322315500 |
| 7 | 10241312226006 |
| oct | 1370146303634 |
| 9 | 322323714450 |
| 10 | 102032312220 |
| 11 | 3a2a9642383 |
| 12 | 179364b8b90 |
| 13 | 981088b357 |
| 14 | 4d1cd2b376 |
| 15 | 29c2881330 |
| hex | 17c199879c |
102032312220 has 288 divisors, whose sum is σ = 329269764096. Its totient is φ = 25539494400.
The previous prime is 102032312141. The next prime is 102032312237. The reversal of 102032312220 is 22213230201.
102032312220 is a `hidden beast` number, since 10 + 203 + 231 + 2 + 220 = 666.
It is a super-2 number, since 2×1020323122202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102032312193 and 102032312202.
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 22222125 + ... + 22226715.
It is an arithmetic number, because the mean of its divisors is an integer number (1143297792).
Almost surely, 2102032312220 is an apocalyptic number.
102032312220 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 102032312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164634882048).
102032312220 is an abundant number, since it is smaller than the sum of its proper divisors (227237451876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102032312220 is a wasteful number, since it uses less digits than its factorization.
102032312220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4761 (or 4756 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 102032312220 its reverse (22213230201), we get a palindrome (124245542421).
The spelling of 102032312220 in words is "one hundred two billion, thirty-two million, three hundred twelve thousand, two hundred twenty".
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