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211020021009 = 32721240938561
BaseRepresentation
bin1100010010000111000…
…1011111110100010001
3202011200100101202101200
43010201301133310101
511424132111133014
6240535151221413
721150162404100
oct3044161376421
9664610352350
10211020021009
1181547334086
1234a92217869
1316b8c436675
14a2db8c4037
155750b6aa09
hex3121c5fd11

211020021009 has 36 divisors (see below), whose sum is σ = 354608825220. Its totient is φ = 120570024960.

The previous prime is 211020020999. The next prime is 211020021011. The reversal of 211020021009 is 900120020112.

It can be written as a sum of positive squares in 2 ways, for example, as 22639716225 + 188380304784 = 150465^2 + 434028^2 .

It is not a de Polignac number, because 211020021009 - 212 = 211020016913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211020020982 and 211020021000.

It is not an unprimeable number, because it can be changed into a prime (211020031009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5453089 + ... + 5491649.

It is an arithmetic number, because the mean of its divisors is an integer number (9850245145).

Almost surely, 2211020021009 is an apocalyptic number.

It is an amenable number.

211020021009 is a deficient number, since it is larger than the sum of its proper divisors (143588804211).

211020021009 is a wasteful number, since it uses less digits than its factorization.

211020021009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50990 (or 50980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 211020021009 in words is "two hundred eleven billion, twenty million, twenty-one thousand, nine".

Divisors: 1 3 7 9 21 49 63 147 441 12409 37227 38561 86863 111681 115683 260589 269927 347049 608041 781767 809781 1824123 1889489 2429343 5472369 5668467 17005401 478503449 1435510347 3349524143 4306531041 10048572429 23446669001 30145717287 70340007003 211020021009