Search a number
-
+
100200201112220 = 2251119231042232173
BaseRepresentation
bin10110110010000110101101…
…011001001100101010011100
3111010210001020022000202212212
4112302012231121030222130
5101113140002441042340
6553035200435215552
730051140251415246
oct2662065531145234
9433701208022785
10100200201112220
1129a2173734aa20
12b2a35787475b8
1343baab901b721
141aa5a038c5096
15b8b68571ca65
hex5b21ad64ca9c

100200201112220 has 96 divisors (see below), whose sum is σ = 252136807534080. Its totient is φ = 33017915208960.

The previous prime is 100200201112189. The next prime is 100200201112237. The reversal of 100200201112220 is 22211102002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200201112195 and 100200201112204.

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, 521019947 + ... + 521212226.

It is an arithmetic number, because the mean of its divisors is an integer number (2626425078480).

Almost surely, 2100200201112220 is an apocalyptic number.

100200201112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200201112220 is an abundant number, since it is smaller than the sum of its proper divisors (151936606421860).

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

100200201112220 is a wasteful number, since it uses less digits than its factorization.

100200201112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042232235 (or 1042232233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100200201112220 its reverse (22211102002001), we get a palindrome (122411303114221).

The spelling of 100200201112220 in words is "one hundred trillion, two hundred billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 8740 9614 19228 24035 48070 96140 1042232173 2084464346 4168928692 5211160865 10422321730 11464553903 19802411287 20844643460 22929107806 23971339979 39604822574 45858215612 47942679958 57322769515 79209645148 95885359916 99012056435 114645539030 119856699895 198024112870 217826524157 229291078060 239713399790 263684739769 396048225740 435653048314 455455459601 479426799580 527369479538 871306096628 910910919202 1054738959076 1089132620785 1318423698845 1821821838404 2178265241570 2277277298005 2636847397690 4356530483140 4554554596010 5010010055611 5273694795380 9109109192020 10020020111222 20040040222444 25050050278055 50100100556110 100200201112220