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83122220072247 = 31719199472991153
BaseRepresentation
bin10010111001100101100110…
…011001100111110100110111
3101220022101222102202021011120
4102321211212121213310313
541343333301314302442
6452441453140235023
723336245046625606
oct2271454631476467
9356271872667146
1083122220072247
1124537a3226a094
1293a578739ba73
13374c5127b80a5
1416751cb9b7a3d
159922edeb74ec
hex4b9966667d37

83122220072247 has 64 divisors (see below), whose sum is σ = 124173624960000. Its totient is φ = 49150885183488.

The previous prime is 83122220072207. The next prime is 83122220072279. The reversal of 83122220072247 is 74227002222138.

It is not a de Polignac number, because 83122220072247 - 243 = 74326127050039 is a prime.

It is a super-3 number, since 3×831222200722473 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83122220072199 and 83122220072208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83122220072207) 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, 911852223 + ... + 911943375.

It is an arithmetic number, because the mean of its divisors is an integer number (1940212890000).

Almost surely, 283122220072247 is an apocalyptic number.

83122220072247 is a deficient number, since it is larger than the sum of its proper divisors (41051404887753).

83122220072247 is a wasteful number, since it uses less digits than its factorization.

83122220072247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96120.

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 83122220072247 in words is "eighty-three trillion, one hundred twenty-two billion, two hundred twenty million, seventy-two thousand, two hundred forty-seven".

Divisors: 1 3 17 19 51 57 199 323 597 969 3383 3781 4729 10149 11343 14187 64277 80393 89851 91153 192831 241179 269553 273459 941071 1527467 1549601 1731907 2823213 4582401 4648803 5195721 15998207 17880349 18139447 29442419 47994621 53641047 54418341 88327257 303965933 308370599 344649493 431062537 911897799 925111797 1033948479 1293187611 5859041381 7328063129 8190188203 17577124143 21984189387 24570564609 85781444863 139233199451 257344334589 417699598353 1458284562671 1629847452397 4374853688013 4889542357191 27707406690749 83122220072247