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210107065168 = 247111321009121
BaseRepresentation
bin1100001110101101011…
…0110110001101010000
3202002022201111210102101
43003223112312031100
511420244402041133
6240304415330144
721115435405210
oct3035326661520
9662281453371
10210107065168
1181118a62920
1234878520954
1316a75254c00
14a252554240
1556ea93037d
hex30eb5b6350

210107065168 has 120 divisors (see below), whose sum is σ = 549575914176. Its totient is φ = 75562905600.

The previous prime is 210107065163. The next prime is 210107065279. The reversal of 210107065168 is 861560701012.

210107065168 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (210107065163) 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 23 ways as a sum of consecutive naturals, for example, 296353 + ... + 712768.

Almost surely, 2210107065168 is an apocalyptic number.

210107065168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

210107065168 is an abundant number, since it is smaller than the sum of its proper divisors (339468849008).

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

210107065168 is a wasteful number, since it uses less digits than its factorization.

210107065168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009173 (or 1009154 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 210107065168 in words is "two hundred ten billion, one hundred seven million, sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 169 176 182 208 286 308 338 364 572 616 676 728 1001 1144 1183 1232 1352 1456 1859 2002 2288 2366 2704 3718 4004 4732 7436 8008 9464 13013 14872 16016 18928 26026 29744 52052 104104 208208 1009121 2018242 4036484 7063847 8072968 11100331 13118573 14127694 16145936 22200662 26237146 28255388 44401324 52474292 56510776 77702317 88802648 91830011 104948584 113021552 144304303 155404634 170541449 177605296 183660022 209897168 288608606 310809268 341082898 367320044 577217212 621618536 682165796 734640088 1010130121 1154434424 1193790143 1243237072 1364331592 1469280176 1875955939 2020260242 2308868848 2387580286 2728663184 3751911878 4040520484 4775160572 7503823756 8081040968 9550321144 13131691573 15007647512 16162081936 19100642288 26263383146 30015295024 52526766292 105053532584 210107065168