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201002002211100 = 223524315581550559
BaseRepresentation
bin101101101100111101101100…
…111100001110000100011100
3222100200121022010120100100010
4231230331230330032010130
5202321204100031223400
61551255013422203220
760223625664504636
oct5554755474160434
9870617263510303
10201002002211100
115905551a156062
121a66364ba23510
13882053b2c72cc
14378c797d3da56
1518387cb4a3450
hexb6cf6cf0e11c

201002002211100 has 72 divisors (see below), whose sum is σ = 595090578987520. Its totient is φ = 52354009874880.

The previous prime is 201002002211083. The next prime is 201002002211111. The reversal of 201002002211100 is 1112200200102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7790762380 + ... + 7790788179.

Almost surely, 2201002002211100 is an apocalyptic number.

201002002211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002002211100 is an abundant number, since it is smaller than the sum of its proper divisors (394088576776420).

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

201002002211100 is a wasteful number, since it uses less digits than its factorization.

201002002211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581550619 (or 15581550612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201002002211100 its reverse (1112200200102), we get a palindrome (202114202411202).

The spelling of 201002002211100 in words is "two hundred one trillion, two billion, two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 15581550559 31163101118 46744651677 62326202236 77907752795 93489303354 155815505590 186978606708 233723258385 311631011180 389538763975 467446516770 670006674037 779077527950 934893033540 1168616291925 1340013348074 1558155055900 2010020022111 2337232583850 2680026696148 3350033370185 4020040044222 4674465167700 6700066740370 8040080088444 10050100110555 13400133480740 16750166850925 20100200221110 33500333701850 40200400442220 50250500552775 67000667403700 100501001105550 201002002211100