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106743847203367 = 112311314970135747
BaseRepresentation
bin11000010001010100111101…
…000110000011001000100111
3111222221121112020121012021221
4120101110331012003020213
5102442342344341001432
61015005240232521211
731324663020436213
oct3021247506031047
9458847466535257
10106743847203367
11310148a1a38080
12bb7b80a550207
134773b94a78b0a
141c50603411943
15c519bbe38b97
hex61153d183227

106743847203367 has 64 divisors (see below), whose sum is σ = 123588328780800. Its totient is φ = 91248957184000.

The previous prime is 106743847203349. The next prime is 106743847203407. The reversal of 106743847203367 is 763302748347601.

It is not a de Polignac number, because 106743847203367 - 243 = 97947754181159 is a prime.

It is a super-2 number, since 2×1067438472033672 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106743847203467) 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, 2986074588 + ... + 2986110334.

It is an arithmetic number, because the mean of its divisors is an integer number (1931067637200).

Almost surely, 2106743847203367 is an apocalyptic number.

106743847203367 is a deficient number, since it is larger than the sum of its proper divisors (16844481577433).

106743847203367 is a wasteful number, since it uses less digits than its factorization.

106743847203367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36744.

The product of its (nonzero) digits is 85349376, while the sum is 61.

The spelling of 106743847203367 in words is "one hundred six trillion, seven hundred forty-three billion, eight hundred forty-seven million, two hundred three thousand, three hundred sixty-seven".

Divisors: 1 11 23 113 149 253 701 1243 1639 2599 3427 7711 16123 16837 28589 35747 37697 79213 104449 177353 185207 387251 393217 822181 871343 1148939 1821899 2402327 4039411 4259761 5326303 9043991 11802737 20040889 25058647 26425597 44433521 58589333 92906453 122504969 129830107 271462951 275645117 576348881 601872239 1021970983 1347554659 2831627111 2986092461 3733738403 6339837691 6620594629 13843061497 31147898221 41071122433 65127423553 85875983269 152273676467 421912439539 716401659083 944635815959 4641036834929 9703986109397 106743847203367