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212003113301 = 7237731601849
BaseRepresentation
bin1100010101110001011…
…1101100100101010101
3202021012212021000111022
43011130113230211111
511433140244111201
6241220510250525
721213430505300
oct3053427544525
9667185230438
10212003113301
1181a01259951
12351074b6a45
1316cb8003a95
14a3922adb37
1557ac10c41b
hex315c5ec955

212003113301 has 24 divisors (see below), whose sum is σ = 256750925400. Its totient is φ = 174383580672.

The previous prime is 212003113247. The next prime is 212003113337. The reversal of 212003113301 is 103311300212.

It can be written as a sum of positive squares in 4 ways, for example, as 47110268401 + 164892844900 = 217049^2 + 406070^2 .

It is not a de Polignac number, because 212003113301 - 214 = 212003096917 is a prime.

It is a super-3 number, since 3×2120031133013 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212003113301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003113501) 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, 668576 + ... + 933273.

It is an arithmetic number, because the mean of its divisors is an integer number (10697955225).

Almost surely, 2212003113301 is an apocalyptic number.

It is an amenable number.

212003113301 is a deficient number, since it is larger than the sum of its proper divisors (44747812099).

212003113301 is a wasteful number, since it uses less digits than its factorization.

212003113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601973 (or 1601966 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 212003113301 its reverse (103311300212), we get a palindrome (315314413513).

The spelling of 212003113301 in words is "two hundred twelve billion, three million, one hundred thirteen thousand, three hundred one".

Divisors: 1 7 37 49 73 259 511 1813 2701 3577 18907 132349 1601849 11212943 59268413 78490601 116934977 414878891 818544839 2904152237 4326594149 5729813873 30286159043 212003113301