Search a number
-
+
200110201002100 = 225243193417757727
BaseRepresentation
bin101101011111111111001001…
…011100100101100001110100
3222020112100101222020222222201
4231133333021130211201310
5202212101142424031400
61545333205055234244
760102325220345104
oct5537771134454164
9866470358228881
10200110201002100
11588412946702a4
121a53a845518984
13878740730422c
14375b5577ab204
1518204d3b3d06a
hexb5ffc9725874

200110201002100 has 144 divisors (see below), whose sum is σ = 446754656094208. Its totient is φ = 77757531586560.

The previous prime is 200110201002083. The next prime is 200110201002149. The reversal of 200110201002100 is 1200102011002.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3466463437 + ... + 3466521163.

Almost surely, 2200110201002100 is an apocalyptic number.

200110201002100 is a gapful number since it is divisible by the number (20) 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 200110201002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223377328047104).

200110201002100 is an abundant number, since it is smaller than the sum of its proper divisors (246644455092108).

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

200110201002100 is a wasteful number, since it uses less digits than its factorization.

200110201002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62154 (or 62147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200110201002100 its reverse (1200102011002), we get a palindrome (201310303013102).

The spelling of 200110201002100 in words is "two hundred trillion, one hundred ten billion, two hundred one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 193 215 386 430 772 860 965 1075 1930 2150 3860 4177 4300 4825 8299 8354 9650 16598 16708 19300 20885 33196 41495 41770 57727 82990 83540 104425 115454 165980 179611 207475 208850 230908 288635 359222 414950 417700 577270 718444 806161 829900 898055 1154540 1443175 1612322 1796110 2482261 2886350 3224644 3592220 4030805 4490275 4964522 5772700 8061610 8980550 9929044 11141311 12411305 16123220 17961100 20154025 22282622 24822610 34664923 40308050 44565244 49645220 55706555 62056525 69329846 80616100 111413110 124113050 138659692 173324615 222826220 241125679 248226100 278532775 346649230 479076373 482251358 557065550 693298460 866623075 958152746 964502716 1114131100 1205628395 1733246150 1916305492 2395381865 2411256790 3466492300 4790763730 4822513580 6028141975 9581527460 10368404197 11976909325 12056283950 20736808394 23953818650 24112567900 41473616788 46537256047 47907637300 51842020985 93074512094 103684041970 186149024188 207368083940 232686280235 259210104925 465372560470 518420209850 930745120940 1036840419700 1163431401175 2001102010021 2326862802350 4002204020042 4653725604700 8004408040084 10005510050105 20011020100210 40022040200420 50027550250525 100055100501050 200110201002100