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102032203302102 = 233119328121294751
BaseRepresentation
bin10111001100110000111001…
…001110111100010011010110
3111101021011221200100121220110
4113030300321032330103112
5101333143423021131402
61001000540324143450
730330404054200413
oct2714607116742326
9441234850317813
10102032203302102
112a568683876517
12b53a636537b86
1344c179838ba58
141b2a5565a710a
15bbe159a4656c
hex5ccc393bc4d6

102032203302102 has 128 divisors (see below), whose sum is σ = 212636638494720. Its totient is φ = 32604364800000.

The previous prime is 102032203302053. The next prime is 102032203302121. The reversal of 102032203302102 is 201203302230201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21475940227 + ... + 21475944977.

It is an arithmetic number, because the mean of its divisors is an integer number (1661223738240).

Almost surely, 2102032203302102 is an apocalyptic number.

102032203302102 is an abundant number, since it is smaller than the sum of its proper divisors (110604435192618).

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

102032203302102 is a wasteful number, since it uses less digits than its factorization.

102032203302102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102032203302102 its reverse (201203302230201), we get a palindrome (303235505532303).

The spelling of 102032203302102 in words is "one hundred two trillion, thirty-two billion, two hundred three million, three hundred two thousand, one hundred two".

Divisors: 1 2 3 6 31 62 93 186 193 281 386 562 579 843 1158 1686 2129 4258 4751 5983 6387 8711 9502 11966 12774 14253 17422 17949 26133 28506 35898 52266 54233 65999 108466 131998 147281 162699 197997 294562 325398 395994 410897 441843 598249 821794 883686 916943 1196498 1232691 1335031 1681223 1794747 1833886 2465382 2670062 2750829 3362446 3589494 4005093 5043669 5501658 8010186 10087338 10114879 12737807 18545719 20229758 25475614 28425233 30344637 37091438 38213421 41385961 55637157 56850466 60689274 76426842 82771922 85275699 111274314 115462057 124157883 170551398 230924114 248315766 257660983 313561249 346386171 515321966 627122498 692772342 772982949 940683747 1545965898 1881367494 1952171647 2842280999 3579323767 3904343294 5684561998 5856514941 7158647534 7987490473 8526842997 10737971301 11713029882 15974980946 17053685994 21475942602 23962471419 47924942838 60517321057 88110710969 121034642114 176221421938 181551963171 264332132907 363103926342 528664265814 548560232807 1097120465614 1645680698421 3291361396842 17005367217017 34010734434034 51016101651051 102032203302102