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106201330110 = 23251923268739
BaseRepresentation
bin110001011101000010…
…1111011000110111110
3101011010100112112220200
41202322011323012332
53220000020030420
6120442131024330
710446524261061
oct1427205730676
9334110475820
10106201330110
1141048978207
12186ba73b0a6
13a02650a045
1451d68ba8d8
152b68890b90
hex18ba17b1be

106201330110 has 72 divisors (see below), whose sum is σ = 291421245960. Its totient is φ = 26829801504.

The previous prime is 106201330097. The next prime is 106201330121. The reversal of 106201330110 is 11033102601.

106201330110 is a `hidden beast` number, since 1 + 0 + 620 + 1 + 3 + 30 + 1 + 10 = 666.

It is a super-2 number, since 2×1062013301102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1601880 + ... + 1666859.

It is an arithmetic number, because the mean of its divisors is an integer number (4047517305).

Almost surely, 2106201330110 is an apocalyptic number.

106201330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106201330110 is an abundant number, since it is smaller than the sum of its proper divisors (185219915850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106201330110 is a wasteful number, since it uses less digits than its factorization.

106201330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268790 (or 3268768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 106201330110 its reverse (11033102601), we get a palindrome (117234432711).

The spelling of 106201330110 in words is "one hundred six billion, two hundred one million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2166 3249 3610 5415 6498 10830 16245 32490 3268739 6537478 9806217 16343695 19612434 29418651 32687390 49031085 58837302 62106041 98062170 124212082 147093255 186318123 294186510 310530205 372636246 558954369 621060410 931590615 1117908738 1180014779 1863181230 2360029558 2794771845 3540044337 5589543690 5900073895 7080088674 10620133011 11800147790 17700221685 21240266022 35400443370 53100665055 106201330110