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122442040099 = 17313761311331
BaseRepresentation
bin111001000001000011…
…1010100001100100011
3102201001012022002202001
41302002013110030203
54001230130240344
6132125445504431
711563141111561
oct1620207241443
9381035262661
10122442040099
1147a22380a85
121b891712117
13b714102302
145cd77caa31
1532b9582ed4
hex1c821d4323

122442040099 has 64 divisors (see below), whose sum is σ = 140569288704. Its totient is φ = 106064640000.

The previous prime is 122442040027. The next prime is 122442040109. The reversal of 122442040099 is 990040244221.

It is not a de Polignac number, because 122442040099 - 27 = 122442039971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (122442040199) 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, 369915364 + ... + 369915694.

It is an arithmetic number, because the mean of its divisors is an integer number (2196395136).

Almost surely, 2122442040099 is an apocalyptic number.

122442040099 is a deficient number, since it is larger than the sum of its proper divisors (18127248605).

122442040099 is a wasteful number, since it uses less digits than its factorization.

122442040099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 122442040099 in words is "one hundred twenty-two billion, four hundred forty-two million, forty thousand, ninety-nine".

Divisors: 1 17 31 37 61 311 331 527 629 1037 1147 1891 2257 5287 5627 9641 10261 11507 12247 18971 19499 20191 32147 38369 69967 102941 163897 174437 195619 208199 322507 343247 356717 379657 588101 625921 701927 747067 1189439 1749997 3191171 3808817 6064189 6279401 6454169 9997717 10640657 11932759 12700139 21759737 23159077 54249907 64749889 106749817 118073327 194661431 232337837 369915529 393704309 2007246559 3309244327 3949743229 7202472947 122442040099