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315041353220 = 2251123252124697
BaseRepresentation
bin1001001010110011110…
…11011000111000000100
31010010011202212221101102
410211121323120320010
520130201041300340
6400421125315232
731522006214156
oct4453173307004
91103152787342
10315041353220
111116766a3630
1251082865b18
13239290c6409
1411368a4cad6
1582dce41215
hex4959ed8e04

315041353220 has 96 divisors (see below), whose sum is σ = 753439954176. Its totient is φ = 109531699200.

The previous prime is 315041353213. The next prime is 315041353247. The reversal of 315041353220 is 22353140513.

It is a happy 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, 12743912 + ... + 12768608.

It is an arithmetic number, because the mean of its divisors is an integer number (7848332856).

Almost surely, 2315041353220 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 315041353220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376719977088).

315041353220 is an abundant number, since it is smaller than the sum of its proper divisors (438398600956).

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

315041353220 is a wasteful number, since it uses less digits than its factorization.

315041353220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27261 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 315041353220 its reverse (22353140513), we get a palindrome (337394493733).

The spelling of 315041353220 in words is "three hundred fifteen billion, forty-one million, three hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2521 2530 5042 5060 10084 12605 24697 25210 27731 49394 50420 55462 57983 98788 110924 115966 123485 138655 231932 246970 271667 277310 289915 493940 543334 554620 568031 579830 637813 1086668 1136062 1159660 1275626 1358335 2272124 2551252 2716670 2840155 3189065 5433340 5680310 6248341 6378130 11360620 12496682 12756260 24993364 31241705 62261137 62483410 124522274 124966820 249044548 311305685 622611370 684872507 1245222740 1369745014 1432006151 2739490028 2864012302 3424362535 5728024604 6848725070 7160030755 13697450140 14320061510 15752067661 28640123020 31504135322 63008270644 78760338305 157520676610 315041353220