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211330222004 = 22117391971593
BaseRepresentation
bin1100010011010001000…
…0110100011110110100
3202012110222002121011102
43010310100310132310
511430301014101004
6241030032025232
721160650151136
oct3046420643664
9665428077142
10211330222004
1181696445740
1234b5a092218
1316c0b796655
14a32ab91056
15576cee211e
hex31344347b4

211330222004 has 48 divisors (see below), whose sum is σ = 409426039680. Its totient is φ = 94638896640.

The previous prime is 211330222001. The next prime is 211330222063. The reversal of 211330222004 is 400222033112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211330222001) 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 15 ways as a sum of consecutive naturals, for example, 2916032 + ... + 2987624.

It is an arithmetic number, because the mean of its divisors is an integer number (8529709160).

Almost surely, 2211330222004 is an apocalyptic number.

It is an amenable number.

211330222004 is a deficient number, since it is larger than the sum of its proper divisors (198095817676).

211330222004 is a wasteful number, since it uses less digits than its factorization.

211330222004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72600 (or 72598 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211330222004 its reverse (400222033112), we get a palindrome (611552255116).

It can be divided in two parts, 211330 and 222004, that added together give a palindrome (433334).

The spelling of 211330222004 in words is "two hundred eleven billion, three hundred thirty million, two hundred twenty-two thousand, four".

Divisors: 1 2 4 11 22 44 73 146 292 803 919 1606 1838 3212 3676 10109 20218 40436 67087 71593 134174 143186 268348 286372 737957 787523 1475914 1575046 2951828 3150092 5226289 10452578 20905156 57489179 65793967 114978358 131587934 229956716 263175868 723733637 1447467274 2894934548 4802959591 9605919182 19211838364 52832555501 105665111002 211330222004