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20100221011220 = 22571016832081281
BaseRepresentation
bin1001001000111111100101…
…00010001000010100010100
32122011120011221222101022012
410210133302202020110110
510113310223034324340
6110425525234123352
74143123133404650
oct444376242102424
978146157871265
1020100221011220
11644a501827139
122307683420558
13b2a59a82623c
144d6bda7ada60
1524ccbd6ca565
hex1247f2888514

20100221011220 has 96 divisors (see below), whose sum is σ = 48789512545536. Its totient is φ = 6813278208000.

The previous prime is 20100221011207. The next prime is 20100221011243. The reversal of 20100221011220 is 2211012200102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20100221011195 and 20100221011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8616980 + ... + 10698260.

It is an arithmetic number, because the mean of its divisors is an integer number (508224089016).

Almost surely, 220100221011220 is an apocalyptic number.

20100221011220 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 20100221011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394756272768).

20100221011220 is an abundant number, since it is smaller than the sum of its proper divisors (28689291534316).

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

20100221011220 is a wasteful number, since it uses less digits than its factorization.

20100221011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082081 (or 2082079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20100221011220 its reverse (2211012200102), we get a palindrome (22311233211322).

The spelling of 20100221011220 in words is "twenty trillion, one hundred billion, two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 683 707 1010 1366 1414 2020 2732 2828 3415 3535 4781 6830 7070 9562 13660 14140 19124 23905 47810 68983 95620 137966 275932 344915 482881 689830 965762 1379660 1931524 2081281 2414405 4162562 4828810 8325124 9657620 10406405 14568967 20812810 29137934 41625620 58275868 72844835 145689670 210209381 291379340 420418762 840837524 1051046905 1421514923 1471465667 2102093810 2843029846 2942931334 4204187620 5686059692 5885862668 7107574615 7357328335 9950604461 14215149230 14714656670 19901208922 28430298460 29429313340 39802417844 49753022305 99506044610 143573007223 199012089220 287146014446 574292028892 717865036115 1005011050561 1435730072230 2010022101122 2871460144460 4020044202244 5025055252805 10050110505610 20100221011220