Search a number
-
+
10033230310101 = 3223292075980513
BaseRepresentation
bin1001001000000000101100…
…1000001110101011010101
31022112011112001220220121100
42102000023020032223111
52303341023424410401
633201111413540313
72053606541332665
oct222001310165325
938464461826540
1010033230310101
113219083a42919
121160610644699
1357a18b8422cb
1426987a5b21a5
15125ec2455b86
hex9200b20ead5

10033230310101 has 48 divisors (see below), whose sum is σ = 15644965190400. Its totient is φ = 6177006882816.

The previous prime is 10033230310093. The next prime is 10033230310111. The reversal of 10033230310101 is 10101303233001.

It is a happy number.

10033230310101 is a `hidden beast` number, since 10 + 0 + 332 + 3 + 0 + 310 + 10 + 1 = 666.

It is not a de Polignac number, because 10033230310101 - 23 = 10033230310093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033230310111) 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 47 ways as a sum of consecutive naturals, for example, 124576021 + ... + 124656533.

It is an arithmetic number, because the mean of its divisors is an integer number (325936774800).

Almost surely, 210033230310101 is an apocalyptic number.

It is an amenable number.

10033230310101 is a deficient number, since it is larger than the sum of its proper divisors (5611734880299).

10033230310101 is a wasteful number, since it uses less digits than its factorization.

10033230310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101330 (or 101327 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10033230310101 its reverse (10101303233001), we get a palindrome (20134533543102).

The spelling of 10033230310101 in words is "ten trillion, thirty-three billion, two hundred thirty million, three hundred ten thousand, one hundred one".

Divisors: 1 3 9 23 29 69 87 207 261 667 2001 6003 20759 62277 80513 186831 241539 477457 602011 724617 1432371 1806033 1851799 2334877 4297113 5418099 5555397 7004631 13846253 16666191 21013893 41538759 53702171 124616277 161106513 483319539 1671369367 5014108101 15042324303 38441495441 48469711643 115324486323 145409134929 345973458969 436227404787 1114803367789 3344410103367 10033230310101