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10202012200020 = 2235379461485731
BaseRepresentation
bin1001010001110101011101…
…0100000010110001010100
31100010022011202211021211110
42110131113110002301110
52314122210110400040
633410423435335020
72102033241614544
oct224352724026124
940108152737743
1010202012200020
113283715a14943
1211892752b1470
13590079303aa4
14273acc563324
1512a59ed89980
hex94757502c54

10202012200020 has 96 divisors (see below), whose sum is σ = 29340839638656. Its totient is φ = 2646723340800.

The previous prime is 10202012199989. The next prime is 10202012200117. The reversal of 10202012200020 is 2000221020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202012199969 and 10202012200005.

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 31 ways as a sum of consecutive naturals, for example, 20760555 + ... + 21246285.

It is an arithmetic number, because the mean of its divisors is an integer number (305633746236).

Almost surely, 210202012200020 is an apocalyptic number.

10202012200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202012200020 is an abundant number, since it is smaller than the sum of its proper divisors (19138827438636).

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

10202012200020 is a wasteful number, since it uses less digits than its factorization.

10202012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495241 (or 495239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202012200020 its reverse (2000221020201), we get a palindrome (12202233220221).

The spelling of 10202012200020 in words is "ten trillion, two hundred two billion, twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 9461 18922 28383 37844 47305 56766 94610 113532 141915 189220 283830 350057 485731 567660 700114 971462 1050171 1400228 1457193 1750285 1942924 2100342 2428655 2914386 3500570 4200684 4857310 5250855 5828772 7001140 7285965 9714620 10501710 14571930 17972047 21003420 29143860 35944094 53916141 71888188 89860235 107832282 179720470 215664564 269580705 359440940 539161410 1078322820 4595500991 9191001982 13786502973 18382003964 22977504955 27573005946 45955009910 55146011892 68932514865 91910019820 137865029730 170033536667 275730059460 340067073334 510100610001 680134146668 850167683335 1020201220002 1700335366670 2040402440004 2550503050005 3400670733340 5101006100010 10202012200020