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34313242221 = 3317294315981
BaseRepresentation
bin11111111101001110…
…101000011001101101
310021120100102022101000
4133331032220121231
51030233142222341
623432511510513
72323212514026
oct377516503155
9107510368330
1034313242221
1113608a26825
126797528439
13330ab6cb2b
14193721bc4d
15d5c6268b6
hex7fd3a866d

34313242221 has 64 divisors (see below), whose sum is σ = 55819238400. Its totient is φ = 20735769600.

The previous prime is 34313242219. The next prime is 34313242267. The reversal of 34313242221 is 12224231343.

34313242221 is a `hidden beast` number, since 3 + 431 + 3 + 2 + 4 + 2 + 221 = 666.

It is not a de Polignac number, because 34313242221 - 21 = 34313242219 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313242121) 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, 5734051 + ... + 5740031.

It is an arithmetic number, because the mean of its divisors is an integer number (872175600).

Almost surely, 234313242221 is an apocalyptic number.

It is an amenable number.

34313242221 is a deficient number, since it is larger than the sum of its proper divisors (21505996179).

34313242221 is a wasteful number, since it uses less digits than its factorization.

34313242221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6461 counting only the distinct ones).

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

Adding to 34313242221 its reverse (12224231343), we get a palindrome (46537473564).

The spelling of 34313242221 in words is "thirty-four billion, three hundred thirteen million, two hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 29 51 87 153 261 431 459 493 783 1293 1479 3879 4437 5981 7327 11637 12499 13311 17943 21981 37497 53829 65943 101677 112491 161487 173449 197829 212483 305031 337473 520347 637449 915093 1561041 1912347 2577811 2745279 2948633 4683123 5737041 7733433 8845899 23200299 26537697 43822787 69600897 74756519 79613091 131468361 224269557 394405083 672808671 1183215249 1270860823 2018426013 3812582469 11437747407 34313242221