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212201210000 = 2454131632317
BaseRepresentation
bin1100010110100000101…
…1011000000010010000
3202021201200000101002002
43011220023120002100
511434042002210000
6241252304213132
721221354344553
oct3055013300220
9667650011062
10212201210000
1181aa306192a
123516190a1a8
131701a072970
14a3b071869a
1557be6dc8d5
hex31682d8090

212201210000 has 100 divisors (see below), whose sum is σ = 553280715372. Its totient is φ = 78351168000.

The previous prime is 212201209999. The next prime is 212201210033. The reversal of 212201210000 is 12102212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 174202725376 + 37998484624 = 417376^2 + 194932^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 686159 + ... + 946158.

Almost surely, 2212201210000 is an apocalyptic number.

212201210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201210000 is an abundant number, since it is smaller than the sum of its proper divisors (341079505372).

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

212201210000 is a wasteful number, since it uses less digits than its factorization.

212201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632358 (or 1632337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212201210000 its reverse (12102212), we get a palindrome (212213312212).

The spelling of 212201210000 in words is "two hundred twelve billion, two hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 1632317 3264634 6529268 8161585 13058536 16323170 21220121 26117072 32646340 40807925 42440242 65292680 81615850 84880484 106100605 130585360 163231700 169760968 204039625 212201210 326463400 339521936 408079250 424402420 530503025 652926800 816158500 848804840 1020198125 1061006050 1632317000 1697609680 2040396250 2122012100 2652515125 3264634000 4080792500 4244024200 5305030250 8161585000 8488048400 10610060500 13262575625 16323170000 21220121000 26525151250 42440242000 53050302500 106100605000 212201210000