| Base | Representation |
|---|---|
| bin | 101111001011000010… |
| … | …0111011101001110000 |
| 3 | 100200110220211001100221 |
| 4 | 1132112010323221300 |
| 5 | 3124431320414440 |
| 6 | 114312040022424 |
| 7 | 10214234560552 |
| oct | 1362604735160 |
| 9 | 320426731327 |
| 10 | 101302123120 |
| 11 | 39a64453510 |
| 12 | 17771a61a14 |
| 13 | 972550bbb3 |
| 14 | 4c8dd754d2 |
| 15 | 297d6e8d4a |
| hex | 179613ba70 |
101302123120 has 80 divisors (see below), whose sum is σ = 257355492480. Its totient is φ = 36777427200.
The previous prime is 101302123099. The next prime is 101302123133. The reversal of 101302123120 is 21321203101.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 101302123094 and 101302123103.
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 15 ways as a sum of consecutive naturals, for example, 451735 + ... + 637705.
It is an arithmetic number, because the mean of its divisors is an integer number (3216943656).
Almost surely, 2101302123120 is an apocalyptic number.
101302123120 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 101302123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128677746240).
101302123120 is an abundant number, since it is smaller than the sum of its proper divisors (156053369360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101302123120 is a wasteful number, since it uses less digits than its factorization.
101302123120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 186614 (or 186608 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 101302123120 its reverse (21321203101), we get a palindrome (122623326221).
It can be divided in two parts, 101302 and 123120, that added together give a palindrome (224422).
The spelling of 101302123120 in words is "one hundred one billion, three hundred two million, one hundred twenty-three thousand, one hundred twenty".
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