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20100020210100 = 223252209211067509
BaseRepresentation
bin1001001000111111001101…
…00100001000100110110100
32122011112122222010121221200
410210133212210020212310
510113304320133210400
6110425453302212500
74143115144542645
oct444374644104664
978145588117850
1020100020210100
11644a4094472a6
122307628124130
13b2a56804b3cc
144d6bbbc5d6cc
1524ccaac63b00
hex1247e69089b4

20100020210100 has 108 divisors (see below), whose sum is σ = 63005467144620. Its totient is φ = 5359744166400.

The previous prime is 20100020210087. The next prime is 20100020210143. The reversal of 20100020210100 is 101202000102.

It can be written as a sum of positive squares in 6 ways, for example, as 1564205465124 + 18535814744976 = 1250682^2 + 4305324^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18295146 + ... + 19362654.

Almost surely, 220100020210100 is an apocalyptic number.

20100020210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100020210100 is an abundant number, since it is smaller than the sum of its proper divisors (42905446934520).

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

20100020210100 is a wasteful number, since it uses less digits than its factorization.

20100020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088450 (or 1088440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100020210100 its reverse (101202000102), we get a palindrome (20201222210202).

The spelling of 20100020210100 in words is "twenty trillion, one hundred billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 20921 41842 62763 83684 104605 125526 188289 209210 251052 313815 376578 418420 523025 627630 753156 941445 1046050 1067509 1255260 1569075 1882890 2092100 2135018 3138150 3202527 3765780 4270036 4707225 5337545 6276300 6405054 9414450 9607581 10675090 12810108 16012635 18828900 19215162 21350180 26687725 32025270 38430324 48037905 53375450 64050540 80063175 96075810 106750900 160126350 192151620 240189525 320252700 480379050 960758100 22333355789 44666711578 67000067367 89333423156 111666778945 134000134734 201000202101 223333557890 268000269468 335000336835 402000404202 446667115780 558333894725 670000673670 804000808404 1005001010505 1116667789450 1340001347340 1675001684175 2010002021010 2233335578900 3350003368350 4020004042020 5025005052525 6700006736700 10050010105050 20100020210100