Search a number
-
+
1010330310101 = 71923376987631
BaseRepresentation
bin11101011001111000110…
…00010001010111010101
310120120211122201112212212
432230330120101113111
5113023124024410401
62052050032523205
7132664632640130
oct16547430212725
93516748645785
101010330310101
1135a52a136862
121439856b0505
1374373536c78
1436c863cd217
151b43361ddbb
hexeb3c6115d5

1010330310101 has 32 divisors (see below), whose sum is σ = 1268630937600. Its totient is φ = 784531059840.

The previous prime is 1010330310083. The next prime is 1010330310103. The reversal of 1010330310101 is 1010130330101.

It is a happy number.

It is not a de Polignac number, because 1010330310101 - 210 = 1010330309077 is a prime.

It is a super-3 number, since 3×10103303101013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010330310103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11485556 + ... + 11573186.

It is an arithmetic number, because the mean of its divisors is an integer number (39644716800).

Almost surely, 21010330310101 is an apocalyptic number.

It is an amenable number.

1010330310101 is a deficient number, since it is larger than the sum of its proper divisors (258300627499).

1010330310101 is a wasteful number, since it uses less digits than its factorization.

1010330310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91449.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1010330310101 its reverse (1010130330101), we get a palindrome (2020460640202).

The spelling of 1010330310101 in words is "one trillion, ten billion, three hundred thirty million, three hundred ten thousand, one hundred one".

Divisors: 1 7 19 23 133 161 437 3059 3769 26383 71611 86687 87631 501277 606809 613417 1647053 1664989 2015513 11529371 11654923 14108591 38294747 268063229 330281239 2311968673 6275343541 7596468497 43927404787 53175279479 144332901443 1010330310101