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201321042342030 = 232513179961280821
BaseRepresentation
bin101101110001100110110101…
…001101101111000010001110
3222101211002210120212020111200
4231301212311031233002032
5202341420443314421110
61552101335435330330
760255652051045152
oct5561466515570216
9871732716766450
10201321042342030
1159168857a78556
121a6b54498b09a6
1388446539a4980
14379ddc1aa5062
151841c504c76c0
hexb719b536f08e

201321042342030 has 96 divisors (see below), whose sum is σ = 566848075116960. Its totient is φ = 49279099956480.

The previous prime is 201321042342011. The next prime is 201321042342037. The reversal of 201321042342030 is 30243240123102.

201321042342030 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 210 + 4 + 23 + 420 + 3 + 0 = 666.

It is a super-2 number, since 2×2013210423420302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201321042341985 and 201321042342003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321042342037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480430981 + ... + 480849840.

It is an arithmetic number, because the mean of its divisors is an integer number (5904667449135).

Almost surely, 2201321042342030 is an apocalyptic number.

201321042342030 is an abundant number, since it is smaller than the sum of its proper divisors (365527032774930).

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

201321042342030 is a wasteful number, since it uses less digits than its factorization.

201321042342030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961281026 (or 961281023 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201321042342030 its reverse (30243240123102), we get a palindrome (231564282465132).

The spelling of 201321042342030 in words is "two hundred one trillion, three hundred twenty-one billion, forty-two million, three hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 179 195 234 358 390 537 585 895 1074 1170 1611 1790 2327 2685 3222 4654 5370 6981 8055 11635 13962 16110 20943 23270 34905 41886 69810 104715 209430 961280821 1922561642 2883842463 4806404105 5767684926 8651527389 9612808210 12496650673 14419212315 17303054778 24993301346 28838424630 37489952019 43257636945 62483253365 74979904038 86515273890 112469856057 124966506730 172069266959 187449760095 224939712114 344138533918 374899520190 516207800877 562349280285 860346334795 1032415601754 1124698560570 1548623402631 1720692669590 2236900470467 2581039004385 3097246805262 4473800940934 5162078008770 6710701411401 7743117013155 11184502352335 13421402822802 15486234026310 20132104234203 22369004704670 33553507057005 40264208468406 67107014114010 100660521171015 201321042342030