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166100670120 = 233571117976263
BaseRepresentation
bin1001101010110001011…
…1110001011010101000
3120212201211201022010010
42122230113301122220
510210133232420440
6204150001451520
715000062254320
oct2325427613250
9525654638103
10166100670120
11644965529a0
1228236940ba0
13128811521b8
148079c4a280
1544c235d580
hex26ac5f16a8

166100670120 has 128 divisors (see below), whose sum is σ = 621259683840. Its totient is φ = 34514423040.

The previous prime is 166100670091. The next prime is 166100670121. The reversal of 166100670120 is 21076001661.

166100670120 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 a super-2 number, since 2×1661006701202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (166100670121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8978892 + ... + 8997371.

It is an arithmetic number, because the mean of its divisors is an integer number (4853591280).

Almost surely, 2166100670120 is an apocalyptic number.

166100670120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166100670120 is an abundant number, since it is smaller than the sum of its proper divisors (455159013720).

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

166100670120 is a wasteful number, since it uses less digits than its factorization.

166100670120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17976295 (or 17976291 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 166100670120 its reverse (21076001661), we get a palindrome (187176671781).

The spelling of 166100670120 in words is "one hundred sixty-six billion, one hundred million, six hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 17976263 35952526 53928789 71905052 89881315 107857578 125833841 143810104 179762630 197738893 215715156 251667682 269643945 359525260 377501523 395477786 431430312 503335364 539287890 593216679 629169205 719050520 755003046 790955572 988694465 1006670728 1078575780 1186433358 1258338410 1384172251 1510006092 1581911144 1887507615 1977388930 2157151560 2372866716 2516676820 2768344502 2966083395 3020012184 3775015230 3954777860 4152516753 4745733432 5033353640 5536689004 5932166790 6920861255 7550030460 7909555720 8305033506 11073378008 11864333580 13841722510 15100060920 16610067012 20762583765 23728667160 27683445020 33220134024 41525167530 55366890040 83050335060 166100670120