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213446711441 = 29137227311761
BaseRepresentation
bin1100011011001001101…
…0100101100010010001
3202101221110122101212002
43012302122211202101
511444114324231231
6242020035443345
721264260053235
oct3066232454221
9671843571762
10213446711441
1182582116567
123544aa56555
1317188108a72
14a48bcd05c5
155843c150cb
hex31b26a5891

213446711441 has 32 divisors (see below), whose sum is σ = 224411316480. Its totient is φ = 202759244800.

The previous prime is 213446711431. The next prime is 213446711483. The reversal of 213446711441 is 144117644312.

It is a cyclic number.

It is not a de Polignac number, because 213446711441 - 214 = 213446695057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213446711395 and 213446711404.

It is not an unprimeable number, because it can be changed into a prime (213446711431) 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 31 ways as a sum of consecutive naturals, for example, 280481501 + ... + 280482261.

It is an arithmetic number, because the mean of its divisors is an integer number (7012853640).

Almost surely, 2213446711441 is an apocalyptic number.

It is an amenable number.

213446711441 is a deficient number, since it is larger than the sum of its proper divisors (10964605039).

213446711441 is a wasteful number, since it uses less digits than its factorization.

213446711441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

The product of its digits is 64512, while the sum is 38.

The spelling of 213446711441 in words is "two hundred thirteen billion, four hundred forty-six million, seven hundred eleven thousand, four hundred forty-one".

Divisors: 1 29 137 227 311 761 3973 6583 9019 22069 31099 42607 70597 104257 172747 236671 901871 1235603 2047313 3023453 5009663 6863459 9671789 23666339 32423927 53724317 280481881 686323831 940293883 1558005193 7360231429 213446711441