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102074575741122 = 231997151322118979
BaseRepresentation
bin10111001101011000010110…
…110100111110000011000010
3111101102020022200120112220210
4113031120112310332003002
5101334342212342203442
61001032225052414550
730333434100035145
oct2715302664760302
9441366280515823
10102074575741122
112a584647a22066
12b5468a0a77456
1344c578baca18a
141b2c615c9c05c
15bc02d995d19c
hex5cd616d3e0c2

102074575741122 has 128 divisors (see below), whose sum is σ = 218626423142400. Its totient is φ = 31678988544000.

The previous prime is 102074575741111. The next prime is 102074575741163. The reversal of 102074575741122 is 221147575470201.

102074575741122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5378281029 + ... + 5378300007.

It is an arithmetic number, because the mean of its divisors is an integer number (1708018930800).

Almost surely, 2102074575741122 is an apocalyptic number.

102074575741122 is an abundant number, since it is smaller than the sum of its proper divisors (116551847401278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102074575741122 is a wasteful number, since it uses less digits than its factorization.

102074575741122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22472.

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 102074575741122 in words is "one hundred two trillion, seventy-four billion, five hundred seventy-five million, seven hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 97 114 151 194 291 302 453 582 906 1843 2869 3221 3686 5529 5738 6442 8607 9663 11058 14647 17214 18979 19326 29294 37958 43941 56937 61199 87882 113874 122398 183597 278293 312437 360601 367194 486371 556586 624874 721202 834879 937311 972742 1081803 1459113 1669758 1840963 1874622 2163606 2865829 2918226 3681926 5522889 5731658 5936303 8597487 9241049 11045778 11872606 17194974 17808909 18482098 27723147 34978297 35617818 47177987 54450751 55446294 61131359 69956594 94355974 104934891 108901502 122262718 141533961 163352253 183394077 209869782 277985413 283067922 326704506 366788154 555970826 833956239 896381753 1161495821 1667912478 1792763506 2322991642 2689145259 3484487463 5281722847 5378290518 5929741823 6968974926 9230835209 10563445694 11859483646 15845168541 17789225469 18461670418 27692505627 31690337082 35578450938 55385011254 112665094637 175385868971 225330189274 337995283911 350771737942 526157606913 675990567822 895391015273 1052315213826 1790782030546 2686173045819 5372346091638 17012429290187 34024858580374 51037287870561 102074575741122