| Base | Representation |
|---|---|
| bin | 101111010010000110… |
| … | …0000101000000000000 |
| 3 | 100201002102022102020110 |
| 4 | 1132210030011000000 |
| 5 | 3130422423034230 |
| 6 | 114351334311320 |
| 7 | 10223141134440 |
| oct | 1364414050000 |
| 9 | 321072272213 |
| 10 | 101538877440 |
| 11 | 3a07605a540 |
| 12 | 178191b8540 |
| 13 | 9762594600 |
| 14 | 4cb35a4120 |
| 15 | 29943b34b0 |
| hex | 17a4305000 |
101538877440 has 1248 divisors, whose sum is σ = 442059227136. Its totient is φ = 19322634240.
The previous prime is 101538877439. The next prime is 101538877441. The reversal of 101538877440 is 44778835101.
It is an interprime number because it is at equal distance from previous prime (101538877439) and next prime (101538877441).
It is a tau number, because it is divible by the number of its divisors (1248).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 101538877440.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101538877441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 799518657 + ... + 799518783.
Almost surely, 2101538877440 is an apocalyptic number.
101538877440 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 101538877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221029613568).
101538877440 is an abundant number, since it is smaller than the sum of its proper divisors (340520349696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101538877440 is a wasteful number, since it uses less digits than its factorization.
101538877440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 203 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 752640, while the sum is 48.
The spelling of 101538877440 in words is "one hundred one billion, five hundred thirty-eight million, eight hundred seventy-seven thousand, four hundred forty".
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