| Base | Representation |
|---|---|
| bin | 101110100111101000… |
| … | …1100001001010001100 |
| 3 | 100120102010121100021000 |
| 4 | 1131033101201022030 |
| 5 | 3120013221141030 |
| 6 | 113554123340300 |
| 7 | 10142632000065 |
| oct | 1351721411214 |
| 9 | 316363540230 |
| 10 | 100114240140 |
| 11 | 39504973442 |
| 12 | 174a0081690 |
| 13 | 959639aa65 |
| 14 | 4bba2bb56c |
| 15 | 290e2a3860 |
| hex | 174f46128c |
100114240140 has 192 divisors, whose sum is σ = 313586058240. Its totient is φ = 26516160000.
The previous prime is 100114240139. The next prime is 100114240147. The reversal of 100114240140 is 41042411001.
100114240140 is a `hidden beast` number, since 100 + 1 + 1 + 424 + 0 + 140 = 666.
It is a super-2 number, since 2×1001142401402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (100114240147) 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 63 ways as a sum of consecutive naturals, for example, 55587240 + ... + 55589040.
It is an arithmetic number, because the mean of its divisors is an integer number (1633260720).
Almost surely, 2100114240140 is an apocalyptic number.
100114240140 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 100114240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156793029120).
100114240140 is an abundant number, since it is smaller than the sum of its proper divisors (213471818100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100114240140 is a wasteful number, since it uses less digits than its factorization.
100114240140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2461 (or 2453 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 100114240140 its reverse (41042411001), we get a palindrome (141156651141).
The spelling of 100114240140 in words is "one hundred billion, one hundred fourteen million, two hundred forty thousand, one hundred forty".
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