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211313034018 = 232149178944041
BaseRepresentation
bin1100010011001100111…
…1010000001100100010
3202012102202202100200100
43010303033100030202
511430232114042033
6241024215403230
721160351103322
oct3046317201442
9665382670610
10211313034018
1181687776099
1234b54383516
1316c08059148
14a328799282
15576b749513
hex31333d0322

211313034018 has 48 divisors (see below), whose sum is σ = 461185803000. Its totient is φ = 69924245760.

The previous prime is 211313034011. The next prime is 211313034059. The reversal of 211313034018 is 810430313112.

211313034018 is a `hidden beast` number, since 2 + 1 + 1 + 313 + 0 + 340 + 1 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191736267129 + 19576766889 = 437877^2 + 139917^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211313033982 and 211313034000.

It is not an unprimeable number, because it can be changed into a prime (211313034011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4776078 + ... + 4820118.

Almost surely, 2211313034018 is an apocalyptic number.

211313034018 is an abundant number, since it is smaller than the sum of its proper divisors (249872768982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211313034018 is a wasteful number, since it uses less digits than its factorization.

211313034018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45987 (or 45984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 211313034018 in words is "two hundred eleven billion, three hundred thirteen million, thirty-four thousand, eighteen".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 1789 2682 3578 5367 10734 16101 32202 44041 88082 132123 264246 266561 396369 533122 792738 799683 1599366 2399049 4798098 6562109 13124218 19686327 39372654 59058981 78789349 118117962 157578698 236368047 472736094 709104141 1418208282 11739613001 23479226002 35218839003 70437678006 105656517009 211313034018