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212211001121100 = 223523464172041961
BaseRepresentation
bin110000010000000100111001…
…010101101101100101001100
31000211101011200112112200221220
4300100010321111231211030
5210303331112241333400
62031200215453523340
762461511302266432
oct6020047125554514
91024334615480856
10212211001121100
11616871a8892473
121b973ab6aa3550
1391545471c8637
143a590d27a6d52
1519801661457a0
hexc1013956d94c

212211001121100 has 72 divisors (see below), whose sum is σ = 613999236356688. Its totient is φ = 56589409228800.

The previous prime is 212211001121051. The next prime is 212211001121113. The reversal of 212211001121100 is 1121100112212.

It is a happy number.

It is a super-3 number, since 3×2122110011211003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212211001121100.

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, 102904120 + ... + 104946080.

Almost surely, 2212211001121100 is an apocalyptic number.

212211001121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211001121100 is an abundant number, since it is smaller than the sum of its proper divisors (401788235235588).

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

212211001121100 is a wasteful number, since it uses less digits than its factorization.

212211001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388395 (or 2388388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212211001121100 its reverse (1121100112212), we get a palindrome (213332101233312).

The spelling of 212211001121100 in words is "two hundred twelve trillion, two hundred eleven billion, one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 346417 692834 1039251 1385668 1732085 2041961 2078502 3464170 4083922 4157004 5196255 6125883 6928340 8167844 8660425 10209805 10392510 12251766 17320850 20419610 20785020 24503532 25981275 30629415 34641700 40839220 51049025 51962550 61258830 102098050 103925100 122517660 153147075 204196100 306294150 612588300 707370003737 1414740007474 2122110011211 2829480014948 3536850018685 4244220022422 7073700037370 8488440044844 10610550056055 14147400074740 17684250093425 21221100112110 35368500186850 42442200224220 53052750280275 70737000373700 106105500560550 212211001121100