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101052442233 = 3241273854857
BaseRepresentation
bin101111000011100110…
…0011110011001111001
3100122211111222221120200
41132013030132121321
53123423411122413
6114231200312413
710205113405131
oct1360714363171
9318744887520
10101052442233
1139946518576
1217702312709
1396b587b822
144c68b3dac1
152966829573
hex178731e679

101052442233 has 12 divisors (see below), whose sum is σ = 149524752468. Its totient is φ = 65725165440.

The previous prime is 101052442207. The next prime is 101052442241. The reversal of 101052442233 is 332244250101.

101052442233 is a `hidden beast` number, since 101 + 0 + 524 + 4 + 2 + 2 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33674819049 + 67377623184 = 183507^2 + 259572^2 .

It is not a de Polignac number, because 101052442233 - 210 = 101052441209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101052442197 and 101052442206.

It is not an unprimeable number, because it can be changed into a prime (101052442243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136927060 + ... + 136927797.

It is an arithmetic number, because the mean of its divisors is an integer number (12460396039).

Almost surely, 2101052442233 is an apocalyptic number.

It is an amenable number.

101052442233 is a deficient number, since it is larger than the sum of its proper divisors (48472310235).

101052442233 is a wasteful number, since it uses less digits than its factorization.

101052442233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273854904 (or 273854901 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 101052442233 its reverse (332244250101), we get a palindrome (433296692334).

The spelling of 101052442233 in words is "one hundred one billion, fifty-two million, four hundred forty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 41 123 369 273854857 821564571 2464693713 11228049137 33684147411 101052442233