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315102122320 = 24517231692737
BaseRepresentation
bin1001001010111011000…
…11001101000101010000
31010010100000020022220211
410211131203031011100
520130312120403240
6400431140013504
731523344563436
oct4453543150520
91103300208824
10315102122320
111116a7a2a327
125109b091294
132393888246b
1411372b4ad56
1582e3446bea
hex495d8cd150

315102122320 has 40 divisors (see below), whose sum is σ = 775707286824. Its totient is φ = 118626680832.

The previous prime is 315102122149. The next prime is 315102122353. The reversal of 315102122320 is 23221201513.

It can be written as a sum of positive squares in 4 ways, for example, as 139403663424 + 175698458896 = 373368^2 + 419164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 315102122291 and 315102122300.

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 7 ways as a sum of consecutive naturals, for example, 115845009 + ... + 115847728.

Almost surely, 2315102122320 is an apocalyptic number.

It is an amenable number.

315102122320 is an abundant number, since it is smaller than the sum of its proper divisors (460605164504).

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

315102122320 is a wasteful number, since it uses less digits than its factorization.

315102122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231692767 (or 231692761 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 315102122320 its reverse (23221201513), we get a palindrome (338323323833).

The spelling of 315102122320 in words is "three hundred fifteen billion, one hundred two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 231692737 463385474 926770948 1158463685 1853541896 2316927370 3707083792 3938776529 4633854740 7877553058 9267709480 15755106116 18535418960 19693882645 31510212232 39387765290 63020424464 78775530580 157551061160 315102122320