| Base | Representation |
|---|---|
| bin | 101111001011001010… |
| … | …0110100111010110000 |
| 3 | 100200111012122202000220 |
| 4 | 1132112110310322300 |
| 5 | 3124433402233330 |
| 6 | 114312305213040 |
| 7 | 10214315153460 |
| oct | 1362624647260 |
| 9 | 320435582026 |
| 10 | 101306289840 |
| 11 | 39a66839a88 |
| 12 | 17773331180 |
| 13 | 972633a602 |
| 14 | 4c9073bba0 |
| 15 | 297dc6d710 |
| hex | 1796534eb0 |
101306289840 has 480 divisors, whose sum is σ = 386955947520. Its totient is φ = 21403213824.
The previous prime is 101306289839. The next prime is 101306289841. The reversal of 101306289840 is 48982603101.
It is an interprime number because it is at equal distance from previous prime (101306289839) and next prime (101306289841).
It is a super-2 number, since 2×1013062898402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 101306289792 and 101306289801.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101306289841) 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 95 ways as a sum of consecutive naturals, for example, 99416851 + ... + 99417869.
It is an arithmetic number, because the mean of its divisors is an integer number (806158224).
Almost surely, 2101306289840 is an apocalyptic number.
101306289840 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 101306289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193477973760).
101306289840 is an abundant number, since it is smaller than the sum of its proper divisors (285649657680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101306289840 is a wasteful number, since it uses less digits than its factorization.
101306289840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1177 (or 1112 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 42.
The spelling of 101306289840 in words is "one hundred one billion, three hundred six million, two hundred eighty-nine thousand, eight hundred forty".
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