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20020110202100 = 22521737369145691
BaseRepresentation
bin1001000110101010010111…
…00011101001010011110100
32121212220101220100121202202
410203111023203221103310
510111002141202431400
6110325040041324032
74134255664641461
oct443251343512364
977786356317682
1020020110202100
116419532316578
1222b4046496618
13b22b717649c8
144d2d9b02c668
1524ab8061e4d5
hex12354b8e94f4

20020110202100 has 144 divisors (see below), whose sum is σ = 46190227761216. Its totient is φ = 7505733888000.

The previous prime is 20020110202093. The next prime is 20020110202109. The reversal of 20020110202100 is 120201102002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020110202109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438140255 + ... + 438185945.

It is an arithmetic number, because the mean of its divisors is an integer number (320765470564).

Almost surely, 220020110202100 is an apocalyptic number.

20020110202100 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 20020110202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23095113880608).

20020110202100 is an abundant number, since it is smaller than the sum of its proper divisors (26170117559116).

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

20020110202100 is a wasteful number, since it uses less digits than its factorization.

20020110202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46786 (or 46779 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20020110202100 its reverse (120201102002), we get a palindrome (20140311304102).

The spelling of 20020110202100 in words is "twenty trillion, twenty billion, one hundred ten million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 373 425 691 746 850 1382 1492 1700 1865 2764 3455 3730 6341 6910 7460 9325 11747 12682 13820 17275 18650 23494 25364 31705 34550 37300 45691 46988 58735 63410 69100 91382 117470 126820 158525 182764 228455 234940 257743 293675 317050 456910 515486 587350 634100 776747 913820 1030972 1142275 1174700 1288715 1553494 2284550 2577430 3106988 3883735 4381631 4569100 5154860 6443575 7767470 8763262 12887150 15534940 17042743 17526524 19418675 21908155 25774300 31572481 34085486 38837350 43816310 63144962 68170972 77674700 85213715 87632620 109540775 126289924 157862405 170427430 219081550 289726631 315724810 340854860 426068575 438163100 536732177 579453262 631449620 789312025 852137150 1073464354 1158906524 1448633155 1578624050 1704274300 2146928708 2683660885 2897266310 3157248100 5367321770 5794532620 7243165775 10734643540 11776535413 13418304425 14486331550 23553070826 26836608850 28972663100 47106141652 53673217700 58882677065 117765354130 200201102021 235530708260 294413385325 400402204042 588826770650 800804408084 1001005510105 1177653541300 2002011020210 4004022040420 5005027550525 10010055101050 20020110202100