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204126351003300 = 223521163198029271
BaseRepresentation
bin101110011010011011011110…
…101001000000111010100100
3222202202021210101000202200110
4232122123132221000322210
5203223401231324101200
62002050203500013020
760665433161164635
oct5632333651007244
9882667711022613
10204126351003300
115a04a55463a8a0
121aa89079b31170
1389b9055c8549b
143859aa796788c
15188ebdc86db50
hexb9a6dea40ea4

204126351003300 has 144 divisors (see below), whose sum is σ = 645318071000064. Its totient is φ = 49406752080000.

The previous prime is 204126351003287. The next prime is 204126351003361. The reversal of 204126351003300 is 3300153621402.

204126351003300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2041263510033002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 46932336 + ... + 51096935.

It is an arithmetic number, because the mean of its divisors is an integer number (4481375493056).

Almost surely, 2204126351003300 is an apocalyptic number.

204126351003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204126351003300 is an abundant number, since it is smaller than the sum of its proper divisors (441191719996764).

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

204126351003300 is a wasteful number, since it uses less digits than its factorization.

204126351003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98029930 (or 98029923 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 204126351003300 in words is "two hundred four trillion, one hundred twenty-six billion, three hundred fifty-one million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 631 660 825 1100 1262 1650 1893 2524 3155 3300 3786 6310 6941 7572 9465 12620 13882 15775 18930 20823 27764 31550 34705 37860 41646 47325 63100 69410 83292 94650 104115 138820 173525 189300 208230 347050 416460 520575 694100 1041150 2082300 98029271 196058542 294087813 392117084 490146355 588175626 980292710 1078321981 1176351252 1470439065 1960585420 2156643962 2450731775 2940878130 3234965943 4313287924 4901463550 5391609905 5881756260 6469931886 7352195325 9802927100 10783219810 12939863772 14704390650 16174829715 21566439620 26958049525 29408781300 32349659430 53916099050 61856470001 64699318860 80874148575 107832198100 123712940002 161748297150 185569410003 247425880004 309282350005 323496594300 371138820006 618564700010 680421170011 742277640012 927847050015 1237129400020 1360842340022 1546411750025 1855694100030 2041263510033 2721684680044 3092823500050 3402105850055 3711388200060 4082527020066 4639235250075 6185647000100 6804211700110 8165054040132 9278470500150 10206317550165 13608423400220 17010529250275 18556941000300 20412635100330 34021058500550 40825270200660 51031587750825 68042117001100 102063175501650 204126351003300