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33430102314201 = 36353941138053
BaseRepresentation
bin1111001100111100011010…
…10111111000110011011001
311101100212221022100102000000
413212132031113320303121
513340204322143023301
6155033324344003213
710020150046114305
oct746361527706331
9141325838312000
1033430102314201
11a71969926534a
1238bab89760509
1315865a2c16508
148380502c4d05
153ce8d8a00786
hex1e678d5f8cd9

33430102314201 has 56 divisors (see below), whose sum is σ = 50317994260296. Its totient is φ = 22199821839360.

The previous prime is 33430102314179. The next prime is 33430102314209. The reversal of 33430102314201 is 10241320103433.

It is a happy number.

33430102314201 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 0 + 1 + 0 + 231 + 420 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11991572523225 + 21438529790976 = 3462885^2 + 4630176^2 .

It is not a de Polignac number, because 33430102314201 - 213 = 33430102306009 is a prime.

It is a super-2 number, since 2×334301023142012 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (33430102314209) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 242085091 + ... + 242223143.

It is an arithmetic number, because the mean of its divisors is an integer number (898535611791).

Almost surely, 233430102314201 is an apocalyptic number.

It is an amenable number.

33430102314201 is a deficient number, since it is larger than the sum of its proper divisors (16887891946095).

33430102314201 is an equidigital number, since it uses as much as digits as its factorization.

33430102314201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139365 (or 139350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33430102314201 its reverse (10241320103433), we get a palindrome (43671422417634).

The spelling of 33430102314201 in words is "thirty-three trillion, four hundred thirty billion, one hundred two million, three hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 27 81 243 353 729 941 1059 2823 3177 8469 9531 25407 28593 76221 85779 138053 228663 257337 332173 414159 685989 996519 1242477 2989557 3727431 8968671 11182293 26906013 33546879 48732709 80718039 100640637 129907873 146198127 242154117 389723619 438594381 1169170857 1315783143 3507512571 3947349429 10522537713 11842048287 31567613139 35526144861 45857479169 94702839417 137572437507 412717312521 1238151937563 3714455812689 11143367438067 33430102314201