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20020122102020 = 22546396711032027
BaseRepresentation
bin1001000110101010011000…
…10001000010100100000100
32121212220102201202012101112
410203111030101002210010
510111002202224231040
6110325041144344152
74134256201043225
oct443251421024404
977786381665345
1020020122102020
116419539004117
1222b404a475058
13b22b74070291
144d2d9c84924c
1524ab816c0365
hex12354c442904

20020122102020 has 96 divisors (see below), whose sum is σ = 42235695710208. Its totient is φ = 7971317811072.

The previous prime is 20020122101999. The next prime is 20020122102023. The reversal of 20020122102020 is 2020122102002.

It is a junction number, because it is equal to n+sod(n) for n = 20020122101986 and 20020122102004.

It is not an unprimeable number, because it can be changed into a prime (20020122102023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9876724247 + ... + 9876726273.

It is an arithmetic number, because the mean of its divisors is an integer number (439955163648).

Almost surely, 220020122102020 is an apocalyptic number.

20020122102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020122102020 is an abundant number, since it is smaller than the sum of its proper divisors (22215573608188).

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

20020122102020 is a wasteful number, since it uses less digits than its factorization.

20020122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20020122102020 its reverse (2020122102002), we get a palindrome (22040244204022).

The spelling of 20020122102020 in words is "twenty trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 463 926 967 1103 1852 1934 2027 2206 2315 3868 4054 4412 4630 4835 5515 8108 9260 9670 10135 11030 19340 20270 22060 40540 447721 510689 895442 938501 1021378 1066601 1790884 1877002 1960109 2042756 2133202 2235781 2238605 2553445 3754004 3920218 4266404 4471562 4477210 4692505 5106890 5333005 7840436 8943124 8954420 9385010 9800545 10213780 10666010 11178905 18770020 19601090 21332020 22357810 39202180 44715620 493836263 907530467 987672526 1035166603 1815060934 1975345052 2070333206 2162000227 2469181315 3630121868 4140666412 4324000454 4537652335 4938362630 5175833015 8648000908 9075304670 9876725260 10351666030 10810001135 18150609340 20703332060 21620002270 43240004540 1001006105101 2002012210202 4004024420404 5005030525505 10010061051010 20020122102020