| Base | Representation |
|---|---|
| bin | 101111001011010100… |
| … | …0000011111010100000 |
| 3 | 100200111120010220120120 |
| 4 | 1132112220003322200 |
| 5 | 3124441200111000 |
| 6 | 114313005240240 |
| 7 | 10214406053604 |
| oct | 1362650037240 |
| 9 | 320446126516 |
| 10 | 101311332000 |
| 11 | 39a6967325a |
| 12 | 17774b63080 |
| 13 | 97273b4638 |
| 14 | 4c91291504 |
| 15 | 297e4176a0 |
| hex | 1796a03ea0 |
101311332000 has 192 divisors, whose sum is σ = 332438940288. Its totient is φ = 26972160000.
The previous prime is 101311331993. The next prime is 101311332007. The reversal of 101311332000 is 233113101.
It is an interprime number because it is at equal distance from previous prime (101311331993) and next prime (101311332007).
It is a super-3 number, since 3×1013113320003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (101311332007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7685415 + ... + 7698585.
It is an arithmetic number, because the mean of its divisors is an integer number (1731452814).
Almost surely, 2101311332000 is an apocalyptic number.
101311332000 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 101311332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166219470144).
101311332000 is an abundant number, since it is smaller than the sum of its proper divisors (231127608288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101311332000 is a wasteful number, since it uses less digits than its factorization.
101311332000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13840 (or 13822 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 15.
Adding to 101311332000 its reverse (233113101), we get a palindrome (101544445101).
The spelling of 101311332000 in words is "one hundred one billion, three hundred eleven million, three hundred thirty-two thousand".
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