| Base | Representation |
|---|---|
| bin | 11101000000001001… |
| … | …111101100000000100 |
| 3 | 2222101021112000100200 |
| 4 | 131000021331200010 |
| 5 | 1002234111432400 |
| 6 | 22150034210500 |
| 7 | 2151464121162 |
| oct | 350011754004 |
| 9 | 88337460320 |
| 10 | 31141124100 |
| 11 | 122303974a9 |
| 12 | 6051123a30 |
| 13 | 2c23914168 |
| 14 | 1715c10232 |
| 15 | c23dd4b00 |
| hex | 74027d804 |
31141124100 has 108 divisors (see below), whose sum is σ = 97944093156. Its totient is φ = 8275887360.
The previous prime is 31141124081. The next prime is 31141124107. The reversal of 31141124100 is 142114113.
31141124100 is a `hidden beast` number, since 3 + 11 + 411 + 241 + 0 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 1171282176 + 29969841924 = 34224^2 + 173118^2 .
It is a super-2 number, since 2×311411241002 (a number of 22 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 (31141124107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204654 + ... + 322746.
Almost surely, 231141124100 is an apocalyptic number.
31141124100 is a gapful number since it is divisible by the number (30) 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 31141124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48972046578).
31141124100 is an abundant number, since it is smaller than the sum of its proper divisors (66802969056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31141124100 is a wasteful number, since it uses less digits than its factorization.
31141124100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118406 (or 118396 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 31141124100 its reverse (142114113), we get a palindrome (31283238213).
The spelling of 31141124100 in words is "thirty-one billion, one hundred forty-one million, one hundred twenty-four thousand, one hundred".
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