Search a number
-
+
201012120022120 = 235111014523225023
BaseRepresentation
bin101101101101000111001000…
…000000100110110001101000
3222100201120102021000101210121
4231231013020000212301220
5202321340310211201440
61551303405414053024
760224434502463151
oct5555071000466150
9870646367011717
10201012120022120
1159059841417250
121a6655b434a174
138821491523234
14378d0779ac928
151838bbe88334a
hexb6d1c8026c68

201012120022120 has 64 divisors (see below), whose sum is σ = 498278468643840. Its totient is φ = 72371600352000.

The previous prime is 201012120022093. The next prime is 201012120022157. The reversal of 201012120022120 is 21220021210102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201012120022094 and 201012120022103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2261568072 + ... + 2261656951.

It is an arithmetic number, because the mean of its divisors is an integer number (7785601072560).

Almost surely, 2201012120022120 is an apocalyptic number.

201012120022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012120022120 is an abundant number, since it is smaller than the sum of its proper divisors (297266348621720).

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

201012120022120 is a wasteful number, since it uses less digits than its factorization.

201012120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523225146 (or 4523225142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201012120022120 its reverse (21220021210102), we get a palindrome (222232141232222).

The spelling of 201012120022120 in words is "two hundred one trillion, twelve billion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 4523225023 9046450046 18092900092 22616125115 36185800184 45232250230 49755475253 90464500460 99510950506 180929000920 199021901012 248777376265 398043802024 456845727323 497554752530 913691454646 995109505060 1827382909292 1990219010120 2284228636615 3654765818584 4568457273230 5025303000553 9136914546460 10050606001106 18273829092920 20101212002212 25126515002765 40202424004424 50253030005530 100506060011060 201012120022120