Search a number
-
+
110100120100212 = 2231141101201422801
BaseRepresentation
bin11001000010001010101110…
…100011000101110101110100
3112102211110122200011211212210
4121002022232203011311310
5103412340021221201322
61030055144045013420
732122320420364464
oct3102125643056564
9472743580154783
10110100120100212
1132099220546370
1210422183554270
1349585209415c8
141d28c34d05ba4
15cade5427270c
hex6422ae8c5d74

110100120100212 has 96 divisors (see below), whose sum is σ = 289932815346048. Its totient is φ = 32227648000000.

The previous prime is 110100120100207. The next prime is 110100120100213. The reversal of 110100120100212 is 212001021001011.

It is a super-2 number, since 2×1101001201002122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100120100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100164789 + ... + 101258012.

It is an arithmetic number, because the mean of its divisors is an integer number (3020133493188).

Almost surely, 2110100120100212 is an apocalyptic number.

110100120100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110100120100212 is an abundant number, since it is smaller than the sum of its proper divisors (179832695245836).

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

110100120100212 is a wasteful number, since it uses less digits than its factorization.

110100120100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201422961 (or 201422959 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110100120100212 its reverse (212001021001011), we get a palindrome (322101141101223).

The spelling of 110100120100212 in words is "one hundred ten trillion, one hundred billion, one hundred twenty million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 101 123 132 164 202 246 303 404 451 492 606 902 1111 1212 1353 1804 2222 2706 3333 4141 4444 5412 6666 8282 12423 13332 16564 24846 45551 49692 91102 136653 182204 273306 546612 201422801 402845602 604268403 805691204 1208536806 2215650811 2417073612 4431301622 6646952433 8258334841 8862603244 13293904866 16516669682 20343702901 24775004523 26587809732 33033339364 40687405802 49550009046 61031108703 81374811604 90841683251 99100018092 122062217406 181683366502 223780731911 244124434812 272525049753 363366733004 447561463822 545050099506 671342195733 834091818941 895122927644 1090100199012 1342684391466 1668183637882 2502275456823 2685368782932 3336367275764 5004550913646 9175010008351 10009101827292 18350020016702 27525030025053 36700040033404 55050060050106 110100120100212