| Base | Representation |
|---|---|
| bin | 101111110110101110… |
| … | …1110011100000000000 |
| 3 | 100211021002121120121100 |
| 4 | 1133231131303200000 |
| 5 | 3140432133323440 |
| 6 | 115113332254400 |
| 7 | 10265456543430 |
| oct | 1375535634000 |
| 9 | 324232546540 |
| 10 | 102768261120 |
| 11 | 3a647005708 |
| 12 | 17b00a71400 |
| 13 | 98ca1a6385 |
| 14 | 4d8c9822c0 |
| 15 | 2a172a5230 |
| hex | 17ed773800 |
102768261120 has 576 divisors, whose sum is σ = 409366077120. Its totient is φ = 23357030400.
The previous prime is 102768261119. The next prime is 102768261121. The reversal of 102768261120 is 21162867201.
102768261120 is a `hidden beast` number, since 1 + 0 + 276 + 8 + 261 + 120 = 666.
It is an interprime number because it is at equal distance from previous prime (102768261119) and next prime (102768261121).
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×1027682611202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102768261121) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 155473590 + ... + 155474250.
It is an arithmetic number, because the mean of its divisors is an integer number (710704995).
Almost surely, 2102768261120 is an apocalyptic number.
102768261120 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 102768261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204683038560).
102768261120 is an abundant number, since it is smaller than the sum of its proper divisors (306597816000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102768261120 is a wasteful number, since it uses less digits than its factorization.
102768261120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 942 (or 919 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The spelling of 102768261120 in words is "one hundred two billion, seven hundred sixty-eight million, two hundred sixty-one thousand, one hundred twenty".
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