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204421430401320 = 233511374185532973
BaseRepresentation
bin101110011110101110010010…
…101111100101100100101000
3222210210111102221222022110210
4232132232102233211210220
5203243220042140320240
62002433524135341120
761025650416531036
oct5636562257454450
9883714387868423
10204421430401320
115a153707229a90
121ab162ab5217a0
138a0ab20534892
14386a09b395556
15189770d05b780
hexb9eb92be5928

204421430401320 has 128 divisors (see below), whose sum is σ = 687097093011840. Its totient is φ = 48217339837440.

The previous prime is 204421430401277. The next prime is 204421430401343. The reversal of 204421430401320 is 23104034124402.

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 31 ways as a sum of consecutive naturals, for example, 2092717647 + ... + 2092815326.

It is an arithmetic number, because the mean of its divisors is an integer number (5367946039155).

Almost surely, 2204421430401320 is an apocalyptic number.

204421430401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204421430401320 is an abundant number, since it is smaller than the sum of its proper divisors (482675662610520).

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

204421430401320 is a wasteful number, since it uses less digits than its factorization.

204421430401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185533035 (or 4185533031 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204421430401320 its reverse (23104034124402), we get a palindrome (227525464525722).

The spelling of 204421430401320 in words is "two hundred four trillion, four hundred twenty-one billion, four hundred thirty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 4185532973 8371065946 12556598919 16742131892 20927664865 25113197838 33484263784 41855329730 46040862703 50226395676 62782994595 83710659460 92081725406 100452791352 125565989190 138122588109 154864720001 167421318920 184163450812 230204313515 251131978380 276245176218 309729440002 368326901624 460408627030 464594160003 502263956760 552490352436 619458880004 690612940545 774323600005 920817254060 929188320006 1104980704872 1238917760008 1381225881090 1548647200010 1703511920011 1841634508120 1858376640012 2322970800015 2762451762180 3097294400020 3407023840022 3716753280024 4645941600030 5110535760033 5524903524360 6194588800040 6814047680044 8517559600055 9291883200060 10221071520066 13628095360088 17035119200110 18583766400120 20442143040132 25552678800165 34070238400220 40884286080264 51105357600330 68140476800440 102210715200660 204421430401320