Search a number
-
+
10057211421003 = 35101409779221
BaseRepresentation
bin1001001001011010000010…
…0000111010000101001011
31022121110102100121120100000
42102112200200322011023
52304234132110433003
633220115200214043
72055416034402135
oct222264040720513
938543370546300
1010057211421003
11322826a72443a
1211651a390a323
1357c510c56a66
1426aab34d2055
151269279651a3
hex925a083a14b

10057211421003 has 24 divisors (see below), whose sum is σ = 15214282954416. Its totient is φ = 6638423364000.

The previous prime is 10057211420999. The next prime is 10057211421011. The reversal of 10057211421003 is 30012411275001.

It is not a de Polignac number, because 10057211421003 - 22 = 10057211420999 is a prime.

It is a super-2 number, since 2×100572114210032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10057211421053) 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 23 ways as a sum of consecutive naturals, for example, 204865068 + ... + 204914153.

It is an arithmetic number, because the mean of its divisors is an integer number (633928456434).

Almost surely, 210057211421003 is an apocalyptic number.

10057211421003 is a deficient number, since it is larger than the sum of its proper divisors (5157071533413).

10057211421003 is an equidigital number, since it uses as much as digits as its factorization.

10057211421003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409779337 (or 409779325 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10057211421003 its reverse (30012411275001), we get a palindrome (40069622696004).

The spelling of 10057211421003 in words is "ten trillion, fifty-seven billion, two hundred eleven million, four hundred twenty-one thousand, three".

Divisors: 1 3 9 27 81 101 243 303 909 2727 8181 24543 409779221 1229337663 3688012989 11064038967 33192116901 41387701321 99576350703 124163103963 372489311889 1117467935667 3352403807001 10057211421003