Search a number
-
+
211411011420 = 22335755928839
BaseRepresentation
bin1100010011100100010…
…1000000011101011100
3202012200121010010102000
43010321011000131130
511430432204331140
6241042035402300
721162650642610
oct3047105003534
9665617103360
10211411011420
1181728005a54
1234b81153390
1316c2244213b
14a3377c1340
15577514ea30
hex313914075c

211411011420 has 96 divisors (see below), whose sum is σ = 751683609600. Its totient is φ = 48322516032.

The previous prime is 211411011359. The next prime is 211411011473. The reversal of 211411011420 is 24110114112.

211411011420 is a `hidden beast` number, since 2 + 1 + 141 + 101 + 1 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211411011393 and 211411011402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27960640 + ... + 27968199.

It is an arithmetic number, because the mean of its divisors is an integer number (7830037600).

Almost surely, 2211411011420 is an apocalyptic number.

211411011420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211411011420 is an abundant number, since it is smaller than the sum of its proper divisors (540272598180).

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

211411011420 is a wasteful number, since it uses less digits than its factorization.

211411011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55928864 (or 55928856 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211411011420 its reverse (24110114112), we get a palindrome (235521125532).

The spelling of 211411011420 in words is "two hundred eleven billion, four hundred eleven million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 55928839 111857678 167786517 223715356 279644195 335573034 391501873 503359551 559288390 671146068 783003746 838932585 1006719102 1118576780 1174505619 1510078653 1566007492 1677865170 1957509365 2013438204 2349011238 2516797755 3020157306 3355730340 3523516857 3915018730 4698022476 5033595510 5872528095 6040314612 7047033714 7550393265 7830037460 10067191020 10570550571 11745056190 14094067428 15100786530 17617584285 21141101142 23490112380 30201573060 35235168570 42282202284 52852752855 70470337140 105705505710 211411011420