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20002001200100 = 22522931009676573
BaseRepresentation
bin1001000110001000101000…
…01011010010001111100100
32121211011122212002000002222
410203010110023102033210
510110203044301400400
6110312443102451512
74133045143652333
oct443042413221744
977734585060088
1020002001200100
11641188a254317
1222b0631893b98
13b21246a8b3ca
144d215dd49d1a
1524a4708d4185
hex1231142d23e4

20002001200100 has 72 divisors (see below), whose sum is σ = 43595708732520. Its totient is φ = 7965579847680.

The previous prime is 20002001200061. The next prime is 20002001200109. The reversal of 20002001200100 is 100210020002.

It can be written as a sum of positive squares in 12 ways, for example, as 1702017688996 + 18299983511104 = 1304614^2 + 4277848^2 .

It is not an unprimeable number, because it can be changed into a prime (20002001200109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29225414 + ... + 29901986.

Almost surely, 220002001200100 is an apocalyptic number.

20002001200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002001200100 is an abundant number, since it is smaller than the sum of its proper divisors (23593707532420).

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

20002001200100 is a wasteful number, since it uses less digits than its factorization.

20002001200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677889 (or 677882 counting only the distinct ones).

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

Adding to 20002001200100 its reverse (100210020002), we get a palindrome (20102211220102).

The spelling of 20002001200100 in words is "twenty trillion, two billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1009 1172 1465 2018 2930 4036 5045 5860 7325 10090 14650 20180 25225 29300 50450 100900 295637 591274 676573 1182548 1353146 1478185 2706292 2956370 3382865 5912740 6765730 7390925 13531460 14781850 16914325 29563700 33828650 67657300 198235889 396471778 682662157 792943556 991179445 1365324314 1982358890 2730648628 3413310785 3964717780 4955897225 6826621570 9911794450 13653243140 17066553925 19823588900 34133107850 68266215700 200020012001 400040024002 800080048004 1000100060005 2000200120010 4000400240020 5000500300025 10001000600050 20002001200100