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166115302100 = 2252111817391129
BaseRepresentation
bin1001101010110100111…
…1100101101011010100
3120212202212020200102022
42122231033211223110
510210201004131400
6204151243232312
715000330525206
oct2325517455324
9525685220368
10166115302100
11644a3837140
122823b818698
13128841a6187
14807bb78776
1544c379db85
hex26ad3e5ad4

166115302100 has 144 divisors (see below), whose sum is σ = 396298593600. Its totient is φ = 59937408000.

The previous prime is 166115302081. The next prime is 166115302159. The reversal of 166115302100 is 1203511661.

It is a self number, because there is not a number n which added to its sum of digits gives 166115302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147134336 + ... + 147135464.

Almost surely, 2166115302100 is an apocalyptic number.

166115302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166115302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198149296800).

166115302100 is an abundant number, since it is smaller than the sum of its proper divisors (230183291500).

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

166115302100 is a wasteful number, since it uses less digits than its factorization.

166115302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 166115302100 its reverse (1203511661), we get a palindrome (167318813761).

The spelling of 166115302100 in words is "one hundred sixty-six billion, one hundred fifteen million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 181 220 275 362 550 724 739 905 1100 1129 1478 1810 1991 2258 2956 3620 3695 3982 4516 4525 5645 7390 7964 8129 9050 9955 11290 12419 14780 16258 18100 18475 19910 22580 24838 28225 32516 36950 39820 40645 49676 49775 56450 62095 73900 81290 99550 112900 124190 133759 162580 199100 203225 204349 248380 267518 310475 406450 408698 535036 620950 668795 812900 817396 834331 1021745 1241900 1337590 1471349 1668662 2043490 2247839 2675180 2942698 3337324 3343975 4086980 4171655 4495678 5108725 5885396 6687950 7356745 8343310 8991356 9177641 10217450 11239195 13375900 14713490 16686620 18355282 20434900 20858275 22478390 29426980 36710564 36783725 41716550 44956780 45888205 56195975 73567450 83433100 91776410 112391950 147134900 151013911 183552820 224783900 229441025 302027822 458882050 604055644 755069555 917764100 1510139110 1661153021 3020278220 3322306042 3775347775 6644612084 7550695550 8305765105 15101391100 16611530210 33223060420 41528825525 83057651050 166115302100