| Base | Representation |
|---|---|
| bin | 1001000111011001111… |
| … | …00110110011111011000 |
| 3 | 1002221110100112222212200 |
| 4 | 10203230330312133120 |
| 5 | 20112430013120440 |
| 6 | 355515454010200 |
| 7 | 31425465513030 |
| oct | 4435474663730 |
| 9 | 1087410488780 |
| 10 | 313213020120 |
| 11 | 110918647940 |
| 12 | 508524a6960 |
| 13 | 236c7396000 |
| 14 | 11233cbc8c0 |
| 15 | 823268cc30 |
| hex | 48ecf367d8 |
313213020120 has 1536 divisors, whose sum is σ = 1422150912000. Its totient is φ = 58032599040.
The previous prime is 313213020119. The next prime is 313213020121. The reversal of 313213020120 is 21020312313.
313213020120 is a `hidden beast` number, since 31 + 321 + 302 + 0 + 12 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (313213020119) and next prime (313213020121).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 313213020093 and 313213020102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313213020121) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2253331011 + ... + 2253331149.
It is an arithmetic number, because the mean of its divisors is an integer number (925879500).
Almost surely, 2313213020120 is an apocalyptic number.
313213020120 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 313213020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711075456000).
313213020120 is an abundant number, since it is smaller than the sum of its proper divisors (1108937891880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313213020120 is a wasteful number, since it uses less digits than its factorization.
313213020120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 250 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 313213020120 its reverse (21020312313), we get a palindrome (334233332433).
The spelling of 313213020120 in words is "three hundred thirteen billion, two hundred thirteen million, twenty thousand, one hundred twenty".
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