Search a number
-
+
10310663346320 = 245128883291829
BaseRepresentation
bin1001011000001010001101…
…1011010001100010010000
31100111200121212010101210002
42112002203123101202100
52322412214304040240
633532353042425132
72112630564253121
oct226024333214220
940450555111702
1010310663346320
11331580072a227
1211a63383621a8
1359a3a321c2bc
1427907854a048
1512d30d841d15
hex960a36d1890

10310663346320 has 20 divisors (see below), whose sum is σ = 23972292280380. Its totient is φ = 4124265338496.

The previous prime is 10310663346283. The next prime is 10310663346323. The reversal of 10310663346320 is 2364336601301.

It can be written as a sum of positive squares in 2 ways, for example, as 3855222294784 + 6455441051536 = 1963472^2 + 2540756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×103106633463202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10310663346323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64441645835 + ... + 64441645994.

It is an arithmetic number, because the mean of its divisors is an integer number (1198614614019).

Almost surely, 210310663346320 is an apocalyptic number.

10310663346320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310663346320 is an abundant number, since it is smaller than the sum of its proper divisors (13661628934060).

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

10310663346320 is a wasteful number, since it uses less digits than its factorization.

10310663346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128883291842 (or 128883291836 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 38.

Adding to 10310663346320 its reverse (2364336601301), we get a palindrome (12674999947621).

The spelling of 10310663346320 in words is "ten trillion, three hundred ten billion, six hundred sixty-three million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128883291829 257766583658 515533167316 644416459145 1031066334632 1288832918290 2062132669264 2577665836580 5155331673160 10310663346320