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310140120 = 233531263317
BaseRepresentation
bin10010011111000…
…101110011011000
3210121120202021010
4102133011303120
51113343440440
650435213520
710454101413
oct2237056330
9717522233
10310140120
1114a07a954
1287a472a0
134c33b384
142d292b7a
151c363580
hex127c5cd8

310140120 has 128 divisors (see below), whose sum is σ = 967127040. Its totient is φ = 79480320.

The previous prime is 310140079. The next prime is 310140199. The reversal of 310140120 is 21041013.

It is a happy number.

310140120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3101401202 = 192373788067228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 310140096 and 310140105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978202 + ... + 978518.

It is an arithmetic number, because the mean of its divisors is an integer number (7555680).

Almost surely, 2310140120 is an apocalyptic number.

310140120 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 310140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483563520).

310140120 is an abundant number, since it is smaller than the sum of its proper divisors (656986920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310140120 is a wasteful number, since it uses less digits than its factorization.

310140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 310140120 is about 17610.7955527284. The cubic root of 310140120 is about 676.8918995362.

Adding to 310140120 its reverse (21041013), we get a palindrome (331181133).

The spelling of 310140120 in words is "three hundred ten million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 263 310 317 372 465 526 620 634 744 789 930 951 1052 1240 1268 1315 1578 1585 1860 1902 2104 2536 2630 3156 3170 3720 3804 3945 4755 5260 6312 6340 7608 7890 8153 9510 9827 10520 12680 15780 16306 19020 19654 24459 29481 31560 32612 38040 39308 40765 48918 49135 58962 65224 78616 81530 83371 97836 98270 117924 122295 147405 163060 166742 195672 196540 235848 244590 250113 294810 326120 333484 393080 416855 489180 500226 589620 666968 833710 978360 1000452 1179240 1250565 1667420 2000904 2501130 2584501 3334840 5002260 5169002 7753503 10004520 10338004 12922505 15507006 20676008 25845010 31014012 38767515 51690020 62028024 77535030 103380040 155070060 310140120