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330121130123320 = 235191074241957211
BaseRepresentation
bin100101100001111100101000…
…0101100011010000000111000
31121021212021100011100011120221
41023003321100230122000320
5321232201033302421240
63130035315322225424
7126351315231216004
oct11303712054320070
91537767304304527
10330121130123320
1196206648795008
123103782a655274
131122839abc8243
145b73d3b269704
15282731c924a4a
hex12c3e50b1a038

330121130123320 has 128 divisors (see below), whose sum is σ = 789359898297600. Its totient is φ = 123900037171200.

The previous prime is 330121130123297. The next prime is 330121130123327. The reversal of 330121130123320 is 23321031121033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121130123327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344399515 + ... + 345356725.

It is an arithmetic number, because the mean of its divisors is an integer number (6166874205450).

Almost surely, 2330121130123320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330121130123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394679949148800).

330121130123320 is an abundant number, since it is smaller than the sum of its proper divisors (459238768174280).

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

330121130123320 is a wasteful number, since it uses less digits than its factorization.

330121130123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961589 (or 961585 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 330121130123320 its reverse (23321031121033), we get a palindrome (353442161244353).

The spelling of 330121130123320 in words is "three hundred thirty trillion, one hundred twenty-one billion, one hundred thirty million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 152 190 214 380 428 535 760 856 1070 2033 2140 4066 4241 4280 8132 8482 10165 16264 16964 20330 21205 33928 40660 42410 80579 81320 84820 161158 169640 322316 402895 453787 644632 805790 907574 957211 1611580 1815148 1914422 2268935 3223160 3630296 3828844 4537870 4786055 7657688 8621953 9075740 9572110 17243906 18151480 18187009 19144220 34487812 36374018 38288440 43109765 68975624 72748036 86219530 90935045 102421577 145496072 172439060 181870090 204843154 344878120 363740180 409686308 512107885 727480360 819372616 1024215770 1946009963 2048431540 3892019926 4059531851 4096863080 7784039852 8119063702 9730049815 15568079704 16238127404 19460099630 20297659255 32476254808 38920199260 40595318510 77131105169 77840398520 81190637020 154262210338 162381274040 308524420676 385655525845 434369908057 617048841352 771311051690 868739816114 1542622103380 1737479632228 2171849540285 3085244206760 3474959264456 4343699080570 8253028253083 8687398161140 16506056506166 17374796322280 33012113012332 41265141265415 66024226024664 82530282530830 165060565061660 330121130123320