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133101121330233 = 3375973163510271
BaseRepresentation
bin11110010000111000000101…
…000011100101110000111001
3122110021100020222220101101000
4132100320011003211300321
5114421212044030031413
61151025451102315213
740015144603116450
oct3620700503456071
9573240228811330
10133101121330233
1139456961063001
1212b17a80288b09
1359364c7003224
1424c21b3007b97
15105c3eb6c3073
hex790e050e5c39

133101121330233 has 64 divisors (see below), whose sum is σ = 232315394457600. Its totient is φ = 73744439852160.

The previous prime is 133101121330231. The next prime is 133101121330249. The reversal of 133101121330233 is 332033121101331.

133101121330233 is a `hidden beast` number, since 1 + 3 + 310 + 1 + 1 + 2 + 13 + 302 + 33 = 666.

It is not a de Polignac number, because 133101121330233 - 21 = 133101121330231 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 133101121330197 and 133101121330206.

It is not an unprimeable number, because it can be changed into a prime (133101121330231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80941113 + ... + 82569158.

It is an arithmetic number, because the mean of its divisors is an integer number (3629928038400).

Almost surely, 2133101121330233 is an apocalyptic number.

It is an amenable number.

133101121330233 is a deficient number, since it is larger than the sum of its proper divisors (99214273127367).

133101121330233 is a wasteful number, since it uses less digits than its factorization.

133101121330233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163510419 (or 163510413 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133101121330233 its reverse (332033121101331), we get a palindrome (465134242431564).

The spelling of 133101121330233 in words is "one hundred thirty-three trillion, one hundred one billion, one hundred twenty-one million, three hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 59 63 73 177 189 219 413 511 531 657 1239 1533 1593 1971 3717 4307 4599 11151 12921 13797 30149 38763 90447 116289 271341 814023 163510271 490530813 1144571897 1471592439 3433715691 4414777317 9647105989 10301147073 11936249783 28941317967 30903441219 35808749349 67529741923 83553748481 86823953901 107426248047 202589225769 250661245443 260471861703 322278744141 607767677307 704238737197 751983736329 1823303031921 2112716211591 2255951208987 4929671160379 6338148634773 14789013481137 19014445904319 44367040443411 133101121330233