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204421214012211 = 32771733167197677
BaseRepresentation
bin101110011110101110000101…
…110110001000001100110011
3222210210110212212210121102100
4232132232011312020030303
5203243214121241342321
62002433450445351443
761025642151334020
oct5636560566101463
9883713785717370
10204421214012211
115a153606072709
121ab1624ab68583
138a0aab775c8a1
14386a07a748547
1518976e9066326
hexb9eb85d88333

204421214012211 has 96 divisors (see below), whose sum is σ = 347009262133248. Its totient is φ = 113552811671040.

The previous prime is 204421214012153. The next prime is 204421214012243. The reversal of 204421214012211 is 112210412124402.

204421214012211 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 21 + 21 + 401 + 2 + 211 = 666.

It is not a de Polignac number, because 204421214012211 - 214 = 204421213995827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204421214011211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034018505 + ... + 1034216181.

It is an arithmetic number, because the mean of its divisors is an integer number (3614679813888).

Almost surely, 2204421214012211 is an apocalyptic number.

204421214012211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204421214012211 is a deficient number, since it is larger than the sum of its proper divisors (142588048121037).

204421214012211 is a wasteful number, since it uses less digits than its factorization.

204421214012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201001 (or 200998 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 204421214012211 its reverse (112210412124402), we get a palindrome (316631626136613).

The spelling of 204421214012211 in words is "two hundred four trillion, four hundred twenty-one billion, two hundred fourteen million, twelve thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 71 73 213 219 497 511 639 657 1491 1533 3167 4473 4599 5183 9501 15549 22169 28503 36281 46647 66507 108843 197677 199521 224857 231191 326529 593031 674571 693573 1383739 1573999 1618337 1779093 2023713 2080719 4151217 4721997 4855011 12453651 14035067 14165991 14430421 14565033 16414561 42105201 43291263 49243683 98245469 101012947 114901927 126315603 129873789 147731049 294736407 303038841 344705781 626043059 884209221 909116523 1024559891 1034117343 1878129177 3073679673 4382301413 5634387531 7171919237 9221039019 13146904239 21515757711 39440712717 44449057189 45701143307 64547273133 133347171567 137103429921 311143400323 319908003149 400041514701 411310289763 933430200969 959724009447 2800290602907 2879172028341 3244781174797 9734343524391 22713468223579 29203030573173 68140404670737 204421214012211