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201354413535345 = 357171115811010957
BaseRepresentation
bin101101110010000101111010…
…010010101111000001110001
3222101221021221021122111201110
4231302011322102233001301
5202342442314331112340
61552124535100023533
760261243034363020
oct5562057222570161
9871837837574643
10201354413535345
1159180a22161a64
121a6bba01831ba9
138847841617ac5
1437a1869b3c8b7
151842a55068680
hexb7217a4af071

201354413535345 has 64 divisors (see below), whose sum is σ = 389853096961536. Its totient is φ = 86632297328640.

The previous prime is 201354413535257. The next prime is 201354413535371. The reversal of 201354413535345 is 543535314453102.

It is a happy number.

201354413535345 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201354413535345 - 210 = 201354413534321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201354413535294 and 201354413535303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198666607 + ... + 199677563.

It is an arithmetic number, because the mean of its divisors is an integer number (6091454640024).

Almost surely, 2201354413535345 is an apocalyptic number.

It is an amenable number.

201354413535345 is a deficient number, since it is larger than the sum of its proper divisors (188498683426191).

201354413535345 is a wasteful number, since it uses less digits than its factorization.

201354413535345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122570.

The product of its (nonzero) digits is 6480000, while the sum is 48.

Adding to 201354413535345 its reverse (543535314453102), we get a palindrome (744889727988447).

The spelling of 201354413535345 in words is "two hundred one trillion, three hundred fifty-four billion, four hundred thirteen million, five hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 111581 334743 557905 781067 1010957 1673715 1896877 2343201 3032871 3905335 5054785 5690631 7076699 9484385 11716005 13278139 15164355 17186269 21230097 28453155 35383495 39834417 51558807 66390695 85931345 106150485 120303883 199172085 257794035 360911649 601519415 1804558245 112803593017 338410779051 564017965085 789625151119 1692053895255 1917661081289 2368875453357 3948125755595 5752983243867 9588305406445 11844377266785 13423627569023 28764916219335 40270882707069 67118137845115 201354413535345