| Base | Representation |
|---|---|
| bin | 10111001011100101101001… |
| … | …000101100000110100000000 |
| 3 | 111100222110101110222220001010 |
| 4 | 113023211221011200310000 |
| 5 | 101330332432322223302 |
| 6 | 1000455454414440520 |
| 7 | 30321513530331405 |
| oct | 2713455105406400 |
| 9 | 440873343886033 |
| 10 | 101951401757952 |
| 11 | 2a53738a47445a |
| 12 | b526a46203140 |
| 13 | 44b6c8c183276 |
| 14 | 1b2668d1c02ac |
| 15 | bbbecaee816c |
| hex | 5cb969160d00 |
101951401757952 has 288 divisors, whose sum is σ = 280849119473664. Its totient is φ = 32811319296000.
The previous prime is 101951401757951. The next prime is 101951401757987. The reversal of 101951401757952 is 259757104159101.
It is a super-2 number, since 2×1019514017579522 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 101951401757892 and 101951401757901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101951401757951) 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 31 ways as a sum of consecutive naturals, for example, 1603557588 + ... + 1603621164.
It is an arithmetic number, because the mean of its divisors is an integer number (975170553728).
Almost surely, 2101951401757952 is an apocalyptic number.
101951401757952 is a gapful number since it is divisible by the number (12) 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 101951401757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140424559736832).
101951401757952 is an abundant number, since it is smaller than the sum of its proper divisors (178897717715712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101951401757952 is a wasteful number, since it uses less digits than its factorization.
101951401757952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64165 (or 64151 counting only the distinct ones).
The product of its (nonzero) digits is 3969000, while the sum is 57.
The spelling of 101951401757952 in words is "one hundred one trillion, nine hundred fifty-one billion, four hundred one million, seven hundred fifty-seven thousand, nine hundred fifty-two".
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