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315101451324 = 2231183139206911
BaseRepresentation
bin1001001010111011000…
…00101001010000111100
31010010022221222020111010
410211131200221100330
520130311432420244
6400431113355220
731523336100252
oct4453540512074
91103287866433
10315101451324
111116a7611190
125109aa08b10
13239386a8c1a
1411372a145d2
1582e3362eb9
hex495d82943c

315101451324 has 96 divisors (see below), whose sum is σ = 817583800320. Its totient is φ = 93655742400.

The previous prime is 315101451311. The next prime is 315101451331. The reversal of 315101451324 is 423154101513.

It is a super-2 number, since 2×3151014513242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315101451291 and 315101451300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419429 + ... + 1626339.

It is an arithmetic number, because the mean of its divisors is an integer number (8516497920).

Almost surely, 2315101451324 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 315101451324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408791900160).

315101451324 is an abundant number, since it is smaller than the sum of its proper divisors (502482348996).

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

315101451324 is a wasteful number, since it uses less digits than its factorization.

315101451324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207151 (or 207149 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 315101451324 its reverse (423154101513), we get a palindrome (738255552837).

The spelling of 315101451324 in words is "three hundred fifteen billion, one hundred one million, four hundred fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 139 166 249 278 332 417 498 556 834 913 996 1529 1668 1826 2739 3058 3652 4587 5478 6116 9174 10956 11537 18348 23074 34611 46148 69222 126907 138444 206911 253814 380721 413822 507628 620733 761442 827644 1241466 1522884 2276021 2482932 4552042 6828063 9104084 13656126 17173613 27312252 28760629 34347226 51520839 57521258 68694452 86281887 103041678 115042516 172563774 188909743 206083356 316366919 345127548 377819486 566729229 632733838 755638972 949100757 1133458458 1265467676 1898201514 2266916916 2387132207 3796403028 4774264414 7161396621 9548528828 14322793242 26258454277 28645586484 52516908554 78775362831 105033817108 157550725662 315101451324