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212102201001 = 31312572100001
BaseRepresentation
bin1100010110001001000…
…1101011111010101001
3202021110202201012021010
43011202101223322221
511433341130413001
6241234410134133
721216042650565
oct3054221537251
9667422635233
10212102201001
1181a52187a09
1235134721349
13170026b8262
14a3a15046a5
1557b5b818d6
hex316246bea9

212102201001 has 16 divisors (see below), whose sum is σ = 286070672448. Its totient is φ = 139776000000.

The previous prime is 212102200997. The next prime is 212102201033. The reversal of 212102201001 is 100102201212.

212102201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212102201001 - 22 = 212102200997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212102201081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949000 + ... + 1151001.

It is an arithmetic number, because the mean of its divisors is an integer number (17879417028).

Almost surely, 2212102201001 is an apocalyptic number.

It is an amenable number.

212102201001 is a deficient number, since it is larger than the sum of its proper divisors (73968471447).

212102201001 is a wasteful number, since it uses less digits than its factorization.

212102201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100392.

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

Adding to 212102201001 its reverse (100102201212), we get a palindrome (312204402213).

The spelling of 212102201001 in words is "two hundred twelve billion, one hundred two million, two hundred one thousand, one".

Divisors: 1 3 131 257 393 771 33667 101001 2100001 6300003 275100131 539700257 825300393 1619100771 70700733667 212102201001