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201002212201120 = 25511234965469669
BaseRepresentation
bin101101101100111101111001…
…011101010001001010100000
3222100200121211202200221111021
4231230331321131101022200
5202321210012310413440
61551255050323055224
760223634124420511
oct5554757135211240
9870617752627437
10201002212201120
1159055617741730
121a6636aa211514
13882057296b765
14378c7b7ba2a08
1518387deb3284a
hexb6cf797512a0

201002212201120 has 96 divisors (see below), whose sum is σ = 540560890154880. Its totient is φ = 69913812925440.

The previous prime is 201002212201099. The next prime is 201002212201129. The reversal of 201002212201120 is 21102212200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201002212201094 and 201002212201103.

It is not an unprimeable number, because it can be changed into a prime (201002212201129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482694355 + ... + 2482775314.

It is an arithmetic number, because the mean of its divisors is an integer number (5630842605780).

Almost surely, 2201002212201120 is an apocalyptic number.

201002212201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002212201120 is an abundant number, since it is smaller than the sum of its proper divisors (339558677953760).

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

201002212201120 is a wasteful number, since it uses less digits than its factorization.

201002212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965469718 (or 4965469710 counting only the distinct ones).

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

Adding to 201002212201120 its reverse (21102212200102), we get a palindrome (222104424401222).

The spelling of 201002212201120 in words is "two hundred one trillion, two billion, two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 40480 4965469669 9930939338 19861878676 24827348345 39723757352 49654696690 54620166359 79447514704 99309393380 109240332718 114205802387 158895029408 198618786760 218480665436 228411604774 273100831795 397237573520 436961330872 456823209548 546201663590 571029011935 794475147040 873922661744 913646419096 1092403327180 1142058023870 1256263826257 1747845323488 1827292838192 2184806654360 2284116047740 2512527652514 3654585676384 4369613308720 4568232095480 5025055305028 6281319131285 8739226617440 9136464190960 10050110610056 12562638262570 18272928381920 20100221220112 25125276525140 40200442440224 50250553050280 100501106100560 201002212201120