Search a number
-
+
106627520220 = 223513235943563
BaseRepresentation
bin110001101001101111…
…1101101011011011100
3101012020001111020211120
41203103133231123130
53221333121121340
6120552313450540
710463220652614
oct1432337553334
9335201436746
10106627520220
1141247501141
12187b9410a50
13a0938bb440
14523733ba44
152b90ec94d0
hex18d37ed6dc

106627520220 has 96 divisors (see below), whose sum is σ = 335502300672. Its totient is φ = 25105605888.

The previous prime is 106627520213. The next prime is 106627520249. The reversal of 106627520220 is 22025726601.

It is a super-2 number, since 2×1066275202202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953842 + ... + 2989721.

It is an arithmetic number, because the mean of its divisors is an integer number (3494815632).

Almost surely, 2106627520220 is an apocalyptic number.

106627520220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106627520220 is an abundant number, since it is smaller than the sum of its proper divisors (228874780452).

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

106627520220 is a wasteful number, since it uses less digits than its factorization.

106627520220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943611 (or 5943609 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 106627520220 in words is "one hundred six billion, six hundred twenty-seven million, five hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 17940 5943563 11887126 17830689 23774252 29717815 35661378 59435630 71322756 77266319 89153445 118871260 136701949 154532638 178306890 231798957 273403898 309065276 356613780 386331595 410105847 463597914 546807796 683509745 772663190 820211694 927195828 1158994785 1367019490 1545326380 1640423388 1777125337 2050529235 2317989570 2734038980 3554250674 4101058470 4635979140 5331376011 7108501348 8202116940 8885626685 10662752022 17771253370 21325504044 26656880055 35542506740 53313760110 106627520220