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20217662590100 = 22523532719210643
BaseRepresentation
bin1001001100011010010101…
…00110001100110010010100
32122120210022200000201210212
410212031022212030302110
510122221233110340400
6110555511014504552
74154451345351443
oct446151246146224
978523280021725
1020217662590100
116495298505638
12232639a365158
13b38695967a51
144dc77c018d5a
15250d93c65335
hex12634a98cc94

20217662590100 has 72 divisors (see below), whose sum is σ = 44013002154240. Its totient is φ = 8061151380480.

The previous prime is 20217662590093. The next prime is 20217662590123. The reversal of 20217662590100 is 109526671202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95875379 + ... + 96086021.

Almost surely, 220217662590100 is an apocalyptic number.

20217662590100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20217662590100 is an abundant number, since it is smaller than the sum of its proper divisors (23795339564140).

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

20217662590100 is a wasteful number, since it uses less digits than its factorization.

20217662590100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213729 (or 213722 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 20217662590100 in words is "twenty trillion, two hundred seventeen billion, six hundred sixty-two million, five hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 353 706 1412 1765 2719 3530 5438 7060 8825 10876 13595 17650 27190 35300 54380 67975 135950 210643 271900 421286 842572 959807 1053215 1919614 2106430 3839228 4212860 4799035 5266075 9598070 10532150 19196140 21064300 23995175 47990350 74356979 95980700 148713958 297427916 371784895 572738317 743569790 1145476634 1487139580 1858924475 2290953268 2863691585 3717848950 5727383170 7435697900 11454766340 14318457925 28636915850 57273831700 202176625901 404353251802 808706503604 1010883129505 2021766259010 4043532518020 5054415647525 10108831295050 20217662590100