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211004040331420 = 22575397293167033
BaseRepresentation
bin101111111110100000110100…
…110111101100000010011100
31000200002210022100212211122021
4233332200310313230002130
5210124042233311101140
62024433530135225524
762305352551663060
oct5776406467540234
91020083270784567
10211004040331420
11612613469a3036
121b7b9bb62182a4
139097798785c8b
143a16915a0baa0
15195da752d8b4a
hexbfe834dec09c

211004040331420 has 96 divisors (see below), whose sum is σ = 521283821159808. Its totient is φ = 70247511539712.

The previous prime is 211004040331411. The next prime is 211004040331421. The reversal of 211004040331420 is 24133040400112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211004040331421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145863777 + ... + 147303256.

It is an arithmetic number, because the mean of its divisors is an integer number (5430039803748).

Almost surely, 2211004040331420 is an apocalyptic number.

211004040331420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211004040331420 is an abundant number, since it is smaller than the sum of its proper divisors (310279780828388).

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

211004040331420 is a wasteful number, since it uses less digits than its factorization.

211004040331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293167199 (or 293167197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211004040331420 its reverse (24133040400112), we get a palindrome (235137080731532).

The spelling of 211004040331420 in words is "two hundred eleven trillion, four billion, forty million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 97 106 140 194 212 265 371 388 485 530 679 742 970 1060 1358 1484 1855 1940 2716 3395 3710 5141 6790 7420 10282 13580 20564 25705 35987 51410 71974 102820 143948 179935 359870 719740 293167033 586334066 1172668132 1465835165 2052169231 2931670330 4104338462 5863340660 8208676924 10260846155 15537852749 20521692310 28437202201 31075705498 41043384620 56874404402 62151410996 77689263745 108764969243 113748808804 142186011005 155378527490 199060415407 217529938486 284372022010 310757054980 398120830814 435059876972 543824846215 568744044020 796241661628 995302077035 1087649692430 1507171716653 1990604154070 2175299384860 3014343433306 3981208308140 6028686866612 7535858583265 10550202016571 15071717166530 21100404033142 30143434333060 42200808066284 52751010082855 105502020165710 211004040331420