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202020110000020 = 2251318121611986497
BaseRepresentation
bin101101111011110001111000…
…111001001101111110010100
3222111021221012210222202110001
4231323301320321031332110
5202434344141130000040
61553354431325341044
760360320440101334
oct5573617071157624
9874257183882401
10202020110000020
115940827a494864
121a7a8a26107784
138895550c33240
1437c5b7b2310c4
1518550177b559a
hexb7bc78e4df94

202020110000020 has 96 divisors (see below), whose sum is σ = 459613245270816. Its totient is φ = 74145565900800.

The previous prime is 202020109999957. The next prime is 202020110000021. The reversal of 202020110000020 is 20000011020202.

It can be written as a sum of positive squares in 16 ways, for example, as 117310690972036 + 84709419027984 = 10831006^2 + 9203772^2 .

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 = 202020109999961 and 202020110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202020110000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100703412 + ... + 102689908.

It is an arithmetic number, because the mean of its divisors is an integer number (4787637971571).

Almost surely, 2202020110000020 is an apocalyptic number.

202020110000020 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 202020110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806622635408).

202020110000020 is an abundant number, since it is smaller than the sum of its proper divisors (257593135270796).

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

202020110000020 is a wasteful number, since it uses less digits than its factorization.

202020110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988861 (or 1988859 counting only the distinct ones).

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

Adding to 202020110000020 its reverse (20000011020202), we get a palindrome (222020121020222).

The spelling of 202020110000020 in words is "two hundred two trillion, twenty billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2161 2353 3620 4322 4706 8644 9412 10805 11765 21610 23530 28093 43220 47060 56186 112372 140465 280930 391141 561860 782282 1564564 1955705 1986497 3911410 3972994 5084833 7822820 7945988 9932485 10169666 19864970 20339332 25424165 25824461 39729940 50848330 51648922 101696660 103297844 129122305 258244610 359555957 516489220 719111914 1438223828 1797779785 3595559570 4292820017 4674227441 7191119140 8585640034 9348454882 17171280068 18696909764 21464100085 23371137205 42928200170 46742274410 55806660221 85856400340 93484548820 111613320442 223226640884 279033301105 558066602210 777000423077 1116133204420 1554000846154 3108001692308 3885002115385 7770004230770 10101005500001 15540008461540 20202011000002 40404022000004 50505027500005 101010055000010 202020110000020