Base | Representation |
---|---|
bin | 1110001001110001110011… |
… | …01101101101010010010100 |
3 | 11002012021002200121110110000 |
4 | 13010320321231231102110 |
5 | 13034401433113410400 |
6 | 150105215435131300 |
7 | 6361340432206440 |
oct | 704707155552224 |
9 | 132167080543400 |
10 | 31122301310100 |
11 | 9a09991807440 |
12 | 35a78638a3b30 |
13 | 1449a886056b0 |
14 | 798482629820 |
15 | 38e868575600 |
hex | 1c4e39b6d494 |
31122301310100 has 1440 divisors, whose sum is σ = 135907697350656. Its totient is φ = 5949591782400.
The previous prime is 31122301310099. The next prime is 31122301310101. The reversal of 31122301310100 is 101310322113.
31122301310100 is a `hidden beast` number, since 3 + 112 + 230 + 1 + 310 + 10 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (31122301310099) and next prime (31122301310101).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31122301310101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2489180449 + ... + 2489192951.
Almost surely, 231122301310100 is an apocalyptic number.
31122301310100 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 31122301310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67953848675328).
31122301310100 is an abundant number, since it is smaller than the sum of its proper divisors (104785396040556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31122301310100 is a wasteful number, since it uses less digits than its factorization.
31122301310100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12867 (or 12851 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 31122301310100 its reverse (101310322113), we get a palindrome (31223611632213).
The spelling of 31122301310100 in words is "thirty-one trillion, one hundred twenty-two billion, three hundred one million, three hundred ten thousand, one hundred".
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