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20021211021020 = 225117112311041241
BaseRepresentation
bin1001000110101100011010…
…01010111011111011011100
32121220000020121202000102212
410203112031022323323130
510111011420010133040
6110325341203535552
74134325162515206
oct443261512737334
977800217660385
1020021211021020
116419a47740080
1222b42b308a5b8
13b22cb8841351
144d3063301776
1524abe70b7d65
hex12358d2bbedc

20021211021020 has 96 divisors (see below), whose sum is σ = 46550614505472. Its totient is φ = 7172061120000.

The previous prime is 20021211020981. The next prime is 20021211021029. The reversal of 20021211021020 is 2012011212002.

It is a junction number, because it is equal to n+sod(n) for n = 20021211020986 and 20021211021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021211021029) 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, 18707600 + ... + 19748840.

It is an arithmetic number, because the mean of its divisors is an integer number (484902234432).

Almost surely, 220021211021020 is an apocalyptic number.

20021211021020 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 20021211021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275307252736).

20021211021020 is an abundant number, since it is smaller than the sum of its proper divisors (26529403484452).

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

20021211021020 is a wasteful number, since it uses less digits than its factorization.

20021211021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042563 (or 1042561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021211021020 its reverse (2012011212002), we get a palindrome (22033222233022).

The spelling of 20021211021020 in words is "twenty trillion, twenty-one billion, two hundred eleven million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1231 1420 1562 2462 3124 3905 4924 6155 7810 12310 13541 15620 24620 27082 54164 67705 87401 135410 174802 270820 349604 437005 874010 961411 1041241 1748020 1922822 2082482 3845644 4164964 4807055 5206205 9614110 10412410 11453651 19228220 20824820 22907302 45814604 57268255 73928111 114536510 147856222 229073020 295712444 369640555 739281110 813209221 1281767671 1478562220 1626418442 2563535342 3252836884 4066046105 5127070684 6408838355 8132092210 12817676710 14099444381 16264184420 25635353420 28198888762 56397777524 70497221905 91005504641 140994443810 182011009282 281988887620 364022018564 455027523205 910055046410 1001060551051 1820110092820 2002121102102 4004242204204 5005302755255 10010605510510 20021211021020