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101434322430320 = 24511349330275861
BaseRepresentation
bin10111000100000100000100…
…110000011010100101110000
3111022011000201100000102211112
4113010010010300122211300
5101243344443020232240
6555422141234132452
730236250032504645
oct2704040460324560
9438130640012745
10101434322430320
112a358066696360
12b462799421128
13447a2a5788a89
141b0963994bdcc
15bad815c6d665
hex5c4104c1a970

101434322430320 has 80 divisors (see below), whose sum is σ = 258011503394400. Its totient is φ = 36779519769600.

The previous prime is 101434322430283. The next prime is 101434322430323. The reversal of 101434322430320 is 23034223434101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434322430323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164830811 + ... + 165445050.

It is an arithmetic number, because the mean of its divisors is an integer number (3225143792430).

Almost surely, 2101434322430320 is an apocalyptic number.

101434322430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434322430320 is an abundant number, since it is smaller than the sum of its proper divisors (156577180964080).

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

101434322430320 is a wasteful number, since it uses less digits than its factorization.

101434322430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330276234 (or 330276228 counting only the distinct ones).

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

Adding to 101434322430320 its reverse (23034223434101), we get a palindrome (124468545864421).

The spelling of 101434322430320 in words is "one hundred one trillion, four hundred thirty-four billion, three hundred twenty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 349 440 698 880 1396 1745 2792 3490 3839 5584 6980 7678 13960 15356 19195 27920 30712 38390 61424 76780 153560 307120 330275861 660551722 1321103444 1651379305 2642206888 3302758610 3633034471 5284413776 6605517220 7266068942 13211034440 14532137884 18165172355 26422068880 29064275768 36330344710 58128551536 72660689420 115266275489 145321378840 230532550978 290642757680 461065101956 576331377445 922130203912 1152662754890 1267929030379 1844260407824 2305325509780 2535858060758 4610651019560 5071716121516 6339645151895 9221302039120 10143432243032 12679290303790 20286864486064 25358580607580 50717161215160 101434322430320