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20201100222100 = 2252738977279601
BaseRepresentation
bin1001001011111011011110…
…11001110001111010010100
32122112012120102000021010211
410211331233121301322110
510121433323124101400
6110544131325455204
74153324044505330
oct445755731617224
978465512007124
1020201100222100
1164892694853a6
122323137711504
13b36c565309b5
144dba4a4d87c0
15250724bd6dba
hex125f6f671e94

20201100222100 has 144 divisors (see below), whose sum is σ = 50239249482240. Its totient is φ = 6906673152000.

The previous prime is 20201100222089. The next prime is 20201100222203. The reversal of 20201100222100 is 122200110202.

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 47 ways as a sum of consecutive naturals, for example, 2104057300 + ... + 2104066900.

It is an arithmetic number, because the mean of its divisors is an integer number (348883676960).

Almost surely, 220201100222100 is an apocalyptic number.

20201100222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201100222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119624741120).

20201100222100 is an abundant number, since it is smaller than the sum of its proper divisors (30038149260140).

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

20201100222100 is a wasteful number, since it uses less digits than its factorization.

20201100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17738 (or 17731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20201100222100 its reverse (122200110202), we get a palindrome (20323300332302).

The spelling of 20201100222100 in words is "twenty trillion, two hundred one billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 389 700 778 1556 1945 2723 3890 5446 7727 7780 9601 9725 10892 13615 15454 19202 19450 27230 30908 38404 38635 38900 48005 54089 54460 67207 68075 77270 96010 108178 134414 136150 154540 192020 193175 216356 240025 268828 270445 272300 336035 386350 480050 540890 672070 772700 960100 1081780 1344140 1352225 1680175 2704450 3005803 3360350 3734789 5408900 6011606 6720700 7469578 12023212 14939156 15029015 18673945 21040621 26143523 30058030 37347890 42081242 52287046 60116060 74186927 74695780 75145075 84162484 93369725 104574092 105203105 130717615 148373854 150290150 186739450 210406210 261435230 296747708 300580300 370934635 373478900 420812420 519308489 522870460 526015525 653588075 741869270 1038616978 1052031050 1307176150 1483738540 1854673175 2077233956 2104062100 2596542445 2614352300 3709346350 5193084890 7418692700 10386169780 12982712225 25965424450 28858714603 51930848900 57717429206 115434858412 144293573015 202011002221 288587146030 404022004442 577174292060 721467865075 808044008884 1010055011105 1442935730150 2020110022210 2885871460300 4040220044420 5050275055525 10100550111050 20201100222100