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102210224144320 = 2651938943215661
BaseRepresentation
bin10111001111010110101100…
…000110100011111111000000
3111101220012110020222102002001
4113033112230012203333000
5101344103014340104240
61001214421224433344
730346305431323255
oct2717265406437700
9441805406872061
10102210224144320
112a627126a07106
12b569039318854
1345054c8c75806
141b350035b142c
15bc3ac860789a
hex5cf5ac1a3fc0

102210224144320 has 112 divisors (see below), whose sum is σ = 256856608663200. Its totient is φ = 38632725688320.

The previous prime is 102210224144219. The next prime is 102210224144333. The reversal of 102210224144320 is 23441422012201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19242711 + ... + 23972950.

It is an arithmetic number, because the mean of its divisors is an integer number (2293362577350).

Almost surely, 2102210224144320 is an apocalyptic number.

102210224144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210224144320 is an abundant number, since it is smaller than the sum of its proper divisors (154646384518880).

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

102210224144320 is a wasteful number, since it uses less digits than its factorization.

102210224144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43216086 (or 43216076 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102210224144320 its reverse (23441422012201), we get a palindrome (125651646156521).

The spelling of 102210224144320 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty-four million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 389 608 760 778 1216 1520 1556 1945 3040 3112 3890 6080 6224 7391 7780 12448 14782 15560 24896 29564 31120 36955 59128 62240 73910 118256 124480 147820 236512 295640 473024 591280 1182560 2365120 43215661 86431322 172862644 216078305 345725288 432156610 691450576 821097559 864313220 1382901152 1642195118 1728626440 2765802304 3284390236 3457252880 4105487795 6568780472 6914505760 8210975590 13137560944 13829011520 16421951180 16810892129 26275121888 32843902360 33621784258 52550243776 65687804720 67243568516 84054460645 131375609440 134487137032 168108921290 262751218880 268974274064 319406950451 336217842580 537948548128 638813900902 672435685160 1075897096256 1277627801804 1344871370320 1597034752255 2555255603608 2689742740640 3194069504510 5110511207216 5379485481280 6388139009020 10221022414432 12776278018040 20442044828864 25552556036080 51105112072160 102210224144320