Search a number
-
+
10310133300000 = 25355289711863
BaseRepresentation
bin1001011000001000001111…
…0101010011101100100000
31100111122020220202020220220
42112002003311103230200
52322410123111100000
633532224310003040
72112611500035432
oct226020365235440
940448226666826
1010310133300000
113315559510616
1211a620a946480
1359a31a477121
14279027db2652
1512d2cc0411a0
hex96083d53b20

10310133300000 has 288 divisors, whose sum is σ = 33842489192064. Its totient is φ = 2748188160000.

The previous prime is 10310133299971. The next prime is 10310133300007. The reversal of 10310133300000 is 333101301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10310133300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869094069 + ... + 869105931.

It is an arithmetic number, because the mean of its divisors is an integer number (117508643028).

Almost surely, 210310133300000 is an apocalyptic number.

10310133300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921244596032).

10310133300000 is an abundant number, since it is smaller than the sum of its proper divisors (23532355892064).

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

10310133300000 is an equidigital number, since it uses as much as digits as its factorization.

10310133300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10310133300000 its reverse (333101301), we get a palindrome (10310466401301).

The spelling of 10310133300000 in words is "ten trillion, three hundred ten billion, one hundred thirty-three million, three hundred thousand".