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211221010004 = 22313168706877
BaseRepresentation
bin1100010010110111000…
…0001101011001010100
3202012012100121001110112
43010231300031121110
511430040034310004
6241011131142152
721155152650614
oct3045560153124
9665170531415
10211221010004
118163a832094
1234b295a4958
1316bc1c78b74
14a31a482a44
15576361ce6e
hex312dc0d654

211221010004 has 12 divisors (see below), whose sum is σ = 370817717844. Its totient is φ = 105273090624.

The previous prime is 211221010003. The next prime is 211221010109. The reversal of 211221010004 is 400010122112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78877845904 + 132343164100 = 280852^2 + 363790^2 .

It is a super-2 number, since 2×2112210100042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221010003) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 84352187 + ... + 84354690.

It is an arithmetic number, because the mean of its divisors is an integer number (30901476487).

Almost surely, 2211221010004 is an apocalyptic number.

It is an amenable number.

211221010004 is a deficient number, since it is larger than the sum of its proper divisors (159596707840).

211221010004 is a wasteful number, since it uses less digits than its factorization.

211221010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168707194 (or 168707192 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211221010004 its reverse (400010122112), we get a palindrome (611231132116).

The spelling of 211221010004 in words is "two hundred eleven billion, two hundred twenty-one million, ten thousand, four".

Divisors: 1 2 4 313 626 1252 168706877 337413754 674827508 52805252501 105610505002 211221010004