Search a number
-
+
201212012211100 = 2252111710760000653
BaseRepresentation
bin101101110000000001010010…
…100000110010101110011100
3222101102200101002102201101021
4231300001102200302232130
5202333124200111223400
61551535304453253524
760245042144163262
oct5560012240625634
9871380332381337
10201212012211100
1159126598341430
121a69829b9342a4
1388372993c54b7
1437989db628432
15183debd60d71a
hexb70052832b9c

201212012211100 has 72 divisors (see below), whose sum is σ = 504342750654288. Its totient is φ = 68864004172800.

The previous prime is 201212012211071. The next prime is 201212012211101. The reversal of 201212012211100 is 1112210212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212012211101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5379981627 + ... + 5380019026.

It is an arithmetic number, because the mean of its divisors is an integer number (7004760425754).

Almost surely, 2201212012211100 is an apocalyptic number.

201212012211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212012211100 is an abundant number, since it is smaller than the sum of its proper divisors (303130738443188).

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

201212012211100 is a wasteful number, since it uses less digits than its factorization.

201212012211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760000695 (or 10760000688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201212012211100 its reverse (1112210212102), we get a palindrome (202324222423202).

The spelling of 201212012211100 in words is "two hundred one trillion, two hundred twelve billion, twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 10760000653 21520001306 43040002612 53800003265 107600006530 118360007183 182920011101 215200013060 236720014366 269000016325 365840022202 473440028732 538000032650 591800035915 731680044404 914600055505 1076000065300 1183600071830 1829200111010 2012120122111 2367200143660 2959000179575 3658400222020 4024240244222 4573000277525 5918000359150 8048480488444 9146000555050 10060600610555 11836000718300 18292001110100 20121201221110 40242402442220 50303003052775 100606006105550 201212012211100