| Base | Representation |
|---|---|
| bin | 101111001101000000… |
| … | …0100110010011001100 |
| 3 | 100200122111221211002000 |
| 4 | 1132122000212103030 |
| 5 | 3130100213032243 |
| 6 | 114322354032300 |
| 7 | 10215665412300 |
| oct | 1363200462314 |
| 9 | 320574854060 |
| 10 | 101368095948 |
| 11 | 39a98713909 |
| 12 | 1778bb78690 |
| 13 | 973609a682 |
| 14 | 4c98a29d00 |
| 15 | 29843cb5d3 |
| hex | 179a0264cc |
101368095948 has 288 divisors, whose sum is σ = 310469241600. Its totient is φ = 28515497472.
The previous prime is 101368095943. The next prime is 101368095971. The reversal of 101368095948 is 849590863101.
101368095948 is a `hidden beast` number, since 10 + 1 + 36 + 8 + 0 + 9 + 594 + 8 = 666.
It is a super-2 number, since 2×1013680959482 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 101368095894 and 101368095903.
It is not an unprimeable number, because it can be changed into a prime (101368095943) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107040811 + ... + 107041757.
It is an arithmetic number, because the mean of its divisors is an integer number (1078018200).
Almost surely, 2101368095948 is an apocalyptic number.
101368095948 is a gapful number since it is divisible by the number (18) 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 101368095948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155234620800).
101368095948 is an abundant number, since it is smaller than the sum of its proper divisors (209101145652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101368095948 is a wasteful number, since it uses less digits than its factorization.
101368095948 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1266 (or 1251 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 54.
The spelling of 101368095948 in words is "one hundred one billion, three hundred sixty-eight million, ninety-five thousand, nine hundred forty-eight".
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