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20021111202100 = 2252297853879133
BaseRepresentation
bin1001000110101100001110…
…01110001010000100110100
32121212222222122220200121211
410203112013032022010310
510111011213431431400
6110325323240251204
74134322541206021
oct443260716120464
977788878820554
1020021111202100
1164199a63626a8
1222b4285770b04
13b22ca0c620b8
144d3053d5a548
1524abdd44bdba
hex12358738a134

20021111202100 has 72 divisors (see below), whose sum is σ = 44949717018360. Its totient is φ = 7731297799680.

The previous prime is 20021111202077. The next prime is 20021111202109. The reversal of 20021111202100 is 120211112002.

It can be written as a sum of positive squares in 12 ways, for example, as 16666740930064 + 3354370272036 = 4082492^2 + 1831494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021111202109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22334134 + ... + 23213266.

It is an arithmetic number, because the mean of its divisors is an integer number (624301625255).

Almost surely, 220021111202100 is an apocalyptic number.

20021111202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021111202100 is an abundant number, since it is smaller than the sum of its proper divisors (24928605816260).

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

20021111202100 is a wasteful number, since it uses less digits than its factorization.

20021111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887029 (or 887022 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20021111202100 its reverse (120211112002), we get a palindrome (20141322314102).

The spelling of 20021111202100 in words is "twenty trillion, twenty-one billion, one hundred eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 7853 15706 31412 39265 78530 157060 196325 227737 392650 455474 785300 879133 910948 1138685 1758266 2277370 3516532 4395665 4554740 5693425 8791330 11386850 17582660 21978325 22773700 25494857 43956650 50989714 87913300 101979428 127474285 254948570 509897140 637371425 1274742850 2549485700 6903831449 13807662898 27615325796 34519157245 69038314490 138076628980 172595786225 200211112021 345191572450 400422224042 690383144900 800844448084 1001055560105 2002111120210 4004222240420 5005277800525 10010555601050 20021111202100