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20011002002020 = 22571139509199181
BaseRepresentation
bin1001000110011001011001…
…01010100111101001100100
32121212000220010200010011001
410203030230222213221210
510110330013003031040
6110320532153123044
74133514166343341
oct443145452475144
977760803603131
1020011002002020
116415688a42a97
1222b23240b9484
13b2204c75c6c3
144d27754cd7c8
1524a7eabbd59a
hex12332caa7a64

20011002002020 has 96 divisors (see below), whose sum is σ = 43006102675200. Its totient is φ = 7819456243200.

The previous prime is 20011002002011. The next prime is 20011002002023. The reversal of 20011002002020 is 2020020011002.

It is a super-2 number, since 2×200110020020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20011002001988 and 20011002002006.

It is not an unprimeable number, because it can be changed into a prime (20011002002023) 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, 100366830 + ... + 100566010.

It is an arithmetic number, because the mean of its divisors is an integer number (447980236200).

Almost surely, 220011002002020 is an apocalyptic number.

20011002002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011002002020 is an abundant number, since it is smaller than the sum of its proper divisors (22995100673180).

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

20011002002020 is a wasteful number, since it uses less digits than its factorization.

20011002002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199909 (or 199907 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20011002002020 its reverse (2020020011002), we get a palindrome (22031022013022).

The spelling of 20011002002020 in words is "twenty trillion, eleven billion, two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 71 139 142 278 284 355 509 556 695 710 1018 1390 1420 2036 2545 2780 5090 9869 10180 19738 36139 39476 49345 70751 72278 98690 141502 144556 180695 197380 199181 283004 353755 361390 398362 707510 722780 796724 995905 1415020 1991810 3983620 5023321 10046642 14141851 20093284 25116605 27686159 28283702 50233210 55372318 56567404 70709255 100466420 101383129 110744636 138430795 141418510 202766258 276861590 282837020 405532516 506915645 553723180 1013831290 1965717289 2027662580 3931434578 7198202159 7862869156 9828586445 14092254931 14396404318 19657172890 28184509862 28792808636 35991010795 39314345780 56369019724 70461274655 71982021590 140922549310 143964043180 281845098620 1000550100101 2001100200202 4002200400404 5002750500505 10005501001010 20011002002020