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20100212100 = 22335219391817
BaseRepresentation
bin10010101110000100…
…001110010110000100
31220212211002120102000
4102232010032112010
5312131123241400
613122305145300
71311046661313
oct225604162604
956784076360
1020100212100
118585055941
123a8b62b230
131b84393b37
14d8973027a
157c9963600
hex4ae10e584

20100212100 has 144 divisors (see below), whose sum is σ = 68019604800. Its totient is φ = 5077935360.

The previous prime is 20100212059. The next prime is 20100212117. The reversal of 20100212100 is 121200102.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 144609 + ... + 247208.

Almost surely, 220100212100 is an apocalyptic number.

20100212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100212100 is an abundant number, since it is smaller than the sum of its proper divisors (47919392700).

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

20100212100 is a wasteful number, since it uses less digits than its factorization.

20100212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391859 (or 391846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100212100 its reverse (121200102), we get a palindrome (20221412202).

The spelling of 20100212100 in words is "twenty billion, one hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 391817 783634 1175451 1567268 1959085 2350902 3526353 3918170 4701804 5877255 7052706 7444523 7836340 9795425 10579059 11754510 14105412 14889046 17631765 19590850 21158118 22333569 23509020 29386275 29778092 35263530 37222615 39181700 42316236 44667138 52895295 58772550 67000707 70527060 74445230 88158825 89334276 105790590 111667845 117545100 134001414 148890460 176317650 186113075 201002121 211581180 223335690 264476475 268002828 335003535 352635300 372226150 402004242 446671380 528952950 558339225 670007070 744452300 804008484 1005010605 1057905900 1116678450 1340014140 1675017675 2010021210 2233356900 3350035350 4020042420 5025053025 6700070700 10050106050 20100212100