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211420201014 = 2321121136713789
BaseRepresentation
bin1100010011100110100…
…0000100000000110110
3202012201020102000011100
43010321220010000312
511430442032413024
6241043004350530
721163122025461
oct3047150040066
9665636360140
10211420201014
1181732212260
1234b84245446
1316c2430bb79
14a338ad42d8
155775d677c9
hex3139a04036

211420201014 has 96 divisors (see below), whose sum is σ = 503493419520. Its totient is φ = 63584740800.

The previous prime is 211420201009. The next prime is 211420201061. The reversal of 211420201014 is 410102024112.

211420201014 is a `hidden beast` number, since 211 + 420 + 20 + 1 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15325632 + ... + 15339420.

It is an arithmetic number, because the mean of its divisors is an integer number (5244723120).

Almost surely, 2211420201014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211420201014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251746709760).

211420201014 is an abundant number, since it is smaller than the sum of its proper divisors (292073218506).

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

211420201014 is a wasteful number, since it uses less digits than its factorization.

211420201014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386 (or 14383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211420201014 its reverse (410102024112), we get a palindrome (621522225126).

The spelling of 211420201014 in words is "two hundred eleven billion, four hundred twenty million, two hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 367 422 633 734 1101 1266 1899 2202 2321 3303 3798 4037 4642 6606 6963 8074 12111 13789 13926 20889 24222 27578 36333 41367 41778 72666 77437 82734 124101 151679 154874 232311 248202 303358 455037 464622 696933 851807 910074 1365111 1393866 1703614 2555421 2730222 2909479 5060563 5110842 5818958 7666263 8728437 10121126 15181689 15332526 17456874 26185311 30363378 32004269 45545067 52370622 55666193 64008538 91090134 96012807 111332386 166998579 192025614 288038421 333997158 500995737 576076842 1001991474 1067778793 2135557586 3203336379 6406672758 9610009137 11745566723 19220018274 23491133446 35236700169 70473400338 105710100507 211420201014