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204301343434100 = 225211220938406667
BaseRepresentation
bin101110011100111110011101…
…000000001010010101110100
3222210101000110220011022101012
4232130332131000022111310
5203234233122404342400
62002302424055051352
761014166513253633
oct5634763500122564
9883330426138335
10204301343434100
115a107793275130
121aab6b76670b58
1389cc6c331ab23
14386434869151a
151894530627d35
hexb9cf9d00a574

204301343434100 has 72 divisors (see below), whose sum is σ = 483658946950368. Its totient is φ = 74288026108800.

The previous prime is 204301343434063. The next prime is 204301343434147. The reversal of 204301343434100 is 1434343103402.

204301343434100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20098967 + ... + 28505633.

Almost surely, 2204301343434100 is an apocalyptic number.

204301343434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204301343434100 is an abundant number, since it is smaller than the sum of its proper divisors (279357603516268).

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

204301343434100 is a wasteful number, since it uses less digits than its factorization.

204301343434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428785 (or 8428778 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 204301343434100 its reverse (1434343103402), we get a palindrome (205735686537502).

The spelling of 204301343434100 in words is "two hundred four trillion, three hundred one billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 22093 44186 88372 110465 220930 243023 441860 486046 552325 972092 1104650 1215115 2209300 2430230 4860460 6075575 8406667 12151150 16813334 24302300 33626668 42033335 84066670 92473337 168133340 184946674 210166675 369893348 420333350 462366685 840666700 924733370 1849466740 2311833425 4623666850 9247333700 185728494031 371456988062 742913976124 928642470155 1857284940310 2043013434341 3714569880620 4086026868682 4643212350775 8172053737364 9286424701550 10215067171705 18572849403100 20430134343410 40860268686820 51075335858525 102150671717050 204301343434100