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212003322101 = 1722812610589
BaseRepresentation
bin1100010101110001100…
…0011111100011110101
3202021012212122121220122
43011130120133203311
511433140322301401
6241220514541325
721213432335114
oct3053430374365
9667185577818
10212003322101
1181a0139180a
1235107597845
1316cb8077b2c
14a392325c7b
1557ac14e21b
hex315c61f8f5

212003322101 has 12 divisors (see below), whose sum is σ = 226009218660. Its totient is φ = 198822382080.

The previous prime is 212003322007. The next prime is 212003322121. The reversal of 212003322101 is 101223300212.

It can be written as a sum of positive squares in 6 ways, for example, as 71089423876 + 140913898225 = 266626^2 + 375385^2 .

It is a de Polignac number, because none of the positive numbers 2k-212003322101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212003322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003322121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1224086 + ... + 1386503.

It is an arithmetic number, because the mean of its divisors is an integer number (18834101555).

Almost surely, 2212003322101 is an apocalyptic number.

It is an amenable number.

212003322101 is a deficient number, since it is larger than the sum of its proper divisors (14005896559).

212003322101 is a wasteful number, since it uses less digits than its factorization.

212003322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610904 (or 2610887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212003322101 its reverse (101223300212), we get a palindrome (313226622313).

The spelling of 212003322101 in words is "two hundred twelve billion, three million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 17 281 289 4777 81209 2610589 44380013 733575509 754460221 12470783653 212003322101