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10220202105 = 3516718122541
BaseRepresentation
bin10011000010010101…
…11110100001111001
3222101021010001121220
421201022332201321
5131412332431410
64410050222253
7511160166411
oct114112764171
928337101556
1010220202105
114375046123
121b92884989
13c6b4c8b89
146cd4c3641
153ec3a8070
hex2612be879

10220202105 has 32 divisors (see below), whose sum is σ = 16541860608. Its totient is φ = 5387961600.

The previous prime is 10220202071. The next prime is 10220202107. The reversal of 10220202105 is 50120202201.

10220202105 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220202105 - 210 = 10220201081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10220202107) 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 31 ways as a sum of consecutive naturals, for example, 442135 + ... + 464675.

It is an arithmetic number, because the mean of its divisors is an integer number (516933144).

Almost surely, 210220202105 is an apocalyptic number.

10220202105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10220202105 is a deficient number, since it is larger than the sum of its proper divisors (6321658503).

10220202105 is a wasteful number, since it uses less digits than its factorization.

10220202105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22897.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10220202105 its reverse (50120202201), we get a palindrome (60340404306).

The spelling of 10220202105 in words is "ten billion, two hundred twenty million, two hundred two thousand, one hundred five".

Divisors: 1 3 5 15 167 181 501 543 835 905 2505 2715 22541 30227 67623 90681 112705 151135 338115 453405 3764347 4079921 11293041 12239763 18821735 20399605 56465205 61198815 681346807 2044040421 3406734035 10220202105