Search a number
-
+
10220106203535 = 3517691271321379
BaseRepresentation
bin1001010010111000110111…
…0011001100000110001111
31100012000212202212220102210
42110232031303030012033
52314421234142003120
633423015120521503
72103243521245434
oct224561563140617
940160782786383
1010220106203535
113290360572558
121190884a80293
135919a0b58647
1427492765db8b
1512acad610ce0
hex94b8dccc18f

10220106203535 has 64 divisors (see below), whose sum is σ = 17346321262080. Its totient is φ = 5120540651520.

The previous prime is 10220106203491. The next prime is 10220106203551. The reversal of 10220106203535 is 53530260102201.

10220106203535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220106203535 - 27 = 10220106203407 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478033476 + ... + 478054854.

It is an arithmetic number, because the mean of its divisors is an integer number (271036269720).

Almost surely, 210220106203535 is an apocalyptic number.

10220106203535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10220106203535 is a deficient number, since it is larger than the sum of its proper divisors (7126215058545).

10220106203535 is a wasteful number, since it uses less digits than its factorization.

10220106203535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24808.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10220106203535 its reverse (53530260102201), we get a palindrome (63750366305736).

The spelling of 10220106203535 in words is "ten trillion, two hundred twenty billion, one hundred six million, two hundred three thousand, five hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 691 2073 2713 3455 8139 10365 11747 13565 21379 35241 40695 46121 58735 64137 106895 138363 176205 230605 320685 363443 691815 1090329 1817215 1874683 5451645 5624049 9373415 14772889 28120245 31869611 44318667 58001227 73864445 95608833 159348055 174003681 221593335 251139113 290006135 478044165 753417339 870018405 986020859 1255695565 2958062577 3767086695 4930104295 14790312885 40078847857 120236543571 200394239285 601182717855 681340413569 2044021240707 3406702067845 10220106203535