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212211200100 = 223521224157787
BaseRepresentation
bin1100010110100011000…
…1011111000001100100
3202021202100210220220210
43011220301133001210
511434102031400400
6241253302255420
721221535303324
oct3055061370144
9667670726823
10212211200100
1181aa8765609
1235165127570
131701c15cb73
14a3b1b99284
1557c0512950
hex3168c5f064

212211200100 has 72 divisors (see below), whose sum is σ = 614058524128. Its totient is φ = 56584051200.

The previous prime is 212211200063. The next prime is 212211200129. The reversal of 212211200100 is 1002112212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3643407 + ... + 3701193.

Almost surely, 2212211200100 is an apocalyptic number.

212211200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211200100 is an abundant number, since it is smaller than the sum of its proper divisors (401847324028).

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

212211200100 is a wasteful number, since it uses less digits than its factorization.

212211200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70045 (or 70038 counting only the distinct ones).

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

Adding to 212211200100 its reverse (1002112212), we get a palindrome (213213312312).

The spelling of 212211200100 in words is "two hundred twelve billion, two hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12241 24482 36723 48964 57787 61205 73446 115574 122410 146892 173361 183615 231148 244820 288935 306025 346722 367230 577870 612050 693444 734460 866805 918075 1155740 1224100 1444675 1733610 1836150 2889350 3467220 3672300 4334025 5778700 8668050 17336100 707370667 1414741334 2122112001 2829482668 3536853335 4244224002 7073706670 8488448004 10610560005 14147413340 17684266675 21221120010 35368533350 42442240020 53052800025 70737066700 106105600050 212211200100