| Base | Representation |
|---|---|
| bin | 100011100110001011101110… |
| … | …1001101000000011100000100 |
| 3 | 1112001122010112110010121201200 |
| 4 | 1013030113131031000130010 |
| 5 | 312020003034214120400 |
| 6 | 3025533132543222500 |
| 7 | 122644350331026525 |
| oct | 10714273515003404 |
| 9 | 1461563473117650 |
| 10 | 313111122020100 |
| 11 | 90848754654668 |
| 12 | 2b14b0492a7a30 |
| 13 | 10593337b7a841 |
| 14 | 5746932a7284c |
| 15 | 262eb13873b00 |
| hex | 11cc5dd340704 |
313111122020100 has 864 divisors, whose sum is σ = 1139242371321600. Its totient is φ = 71416177459200.
The previous prime is 313111122020093. The next prime is 313111122020107. The reversal of 313111122020100 is 1020221111313.
313111122020100 is a `hidden beast` number, since 3 + 1 + 311 + 11 + 220 + 20 + 100 = 666.
It is an interprime number because it is at equal distance from previous prime (313111122020093) and next prime (313111122020107).
It is a super-2 number, since 2×3131111220201002 (a number of 30 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 (313111122020107) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 763463896 + ... + 763873904.
It is an arithmetic number, because the mean of its divisors is an integer number (1318567559400).
Almost surely, 2313111122020100 is an apocalyptic number.
313111122020100 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 313111122020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569621185660800).
313111122020100 is an abundant number, since it is smaller than the sum of its proper divisors (826131249301500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313111122020100 is a wasteful number, since it uses less digits than its factorization.
313111122020100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 410173 (or 410163 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 313111122020100 its reverse (1020221111313), we get a palindrome (314131343131413).
The spelling of 313111122020100 in words is "three hundred thirteen trillion, one hundred eleven billion, one hundred twenty-two million, twenty thousand, one hundred".
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