| Base | Representation |
|---|---|
| bin | 101110110011010010… |
| … | …0100010001011111010 |
| 3 | 100121102101002010122000 |
| 4 | 1131212210202023322 |
| 5 | 3121313301213200 |
| 6 | 114101005041430 |
| 7 | 10155416156214 |
| oct | 1354644421372 |
| 9 | 317371063560 |
| 10 | 100505101050 |
| 11 | 39695566a92 |
| 12 | 1758ab56276 |
| 13 | 962935c5c3 |
| 14 | 4c161835b4 |
| 15 | 293375e300 |
| hex | 17669222fa |
100505101050 has 96 divisors (see below), whose sum is σ = 277039560000. Its totient is φ = 26792441280.
The previous prime is 100505101043. The next prime is 100505101057. The reversal of 100505101050 is 50101505001.
100505101050 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 510 + 105 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (100505101043) and next prime (100505101057).
It is a super-2 number, since 2×1005051010502 (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 a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (100505101057) 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 47 ways as a sum of consecutive naturals, for example, 4713012 + ... + 4734288.
It is an arithmetic number, because the mean of its divisors is an integer number (2885828750).
Almost surely, 2100505101050 is an apocalyptic number.
100505101050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 100505101050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138519780000).
100505101050 is an abundant number, since it is smaller than the sum of its proper divisors (176534458950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100505101050 is a wasteful number, since it uses less digits than its factorization.
100505101050 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24797 (or 24786 counting only the distinct ones).
The product of its (nonzero) digits is 125, while the sum is 18.
Adding to 100505101050 its reverse (50101505001), we get a palindrome (150606606051).
The spelling of 100505101050 in words is "one hundred billion, five hundred five million, one hundred one thousand, fifty".
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