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310013101220 = 225311995634463
BaseRepresentation
bin1001000001011100011…
…10001000010010100100
31002122012100100021100212
410200232032020102210
520034401323214340
6354230144354552
731253261611304
oct4405616102244
91078170307325
10310013101220
1110a52634a469
12500ba915a58
1323307455384
141100cd15604
1580e67a8a65
hex482e3884a4

310013101220 has 96 divisors (see below), whose sum is σ = 676756684800. Its totient is φ = 119163242880.

The previous prime is 310013101159. The next prime is 310013101291. The reversal of 310013101220 is 22101310013.

It is a super-2 number, since 2×3100131012202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310013101195 and 310013101204.

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, 69460709 + ... + 69465171.

It is an arithmetic number, because the mean of its divisors is an integer number (7049548800).

Almost surely, 2310013101220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310013101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338378342400).

310013101220 is an abundant number, since it is smaller than the sum of its proper divisors (366743583580).

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

310013101220 is a wasteful number, since it uses less digits than its factorization.

310013101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 310013101220 its reverse (22101310013), we get a palindrome (332114411233).

The spelling of 310013101220 in words is "three hundred ten billion, thirteen million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 199 310 398 563 620 796 995 1126 1990 2252 2815 3980 4463 5630 6169 8926 11260 12338 17453 17852 22315 24676 30845 34906 44630 61690 69812 87265 89260 112037 123380 138353 174530 224074 276706 349060 448148 553412 560185 691765 888137 1120370 1383530 1776274 2240740 2512669 2767060 3473147 3552548 4440685 5025338 6946294 8881370 10050676 12563345 13892588 17365735 17762740 25126690 27532247 34731470 50253380 55064494 69462940 77892739 110128988 137661235 155785478 275322470 311570956 389463695 500021131 550644940 778927390 1000042262 1557854780 2000084524 2500105655 5000211310 10000422620 15500655061 31001310122 62002620244 77503275305 155006550610 310013101220