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20100100002220 = 22571718713451313
BaseRepresentation
bin1001001000111111010110…
…10100100001000110101100
32122011112212112021111011101
410210133223110201012230
510113310001100032340
6110425505232332444
74143120134012020
oct444375324410654
978145775244141
1020100100002220
11644a44a4962a7
12230764a9a4124
13b2a57b737c94
144d6bc86b0380
1524ccb2c75c9a
hex1247eb5211ac

20100100002220 has 96 divisors (see below), whose sum is σ = 51080743905408. Its totient is φ = 6485721710592.

The previous prime is 20100100002187. The next prime is 20100100002221. The reversal of 20100100002220 is 2220000100102.

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 = 20100100002197 and 20100100002206.

It is not an unprimeable number, because it can be changed into a prime (20100100002221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44311284 + ... + 44762596.

It is an arithmetic number, because the mean of its divisors is an integer number (532091082348).

Almost surely, 220100100002220 is an apocalyptic number.

20100100002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100100002220 is an abundant number, since it is smaller than the sum of its proper divisors (30980643903188).

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

20100100002220 is a wasteful number, since it uses less digits than its factorization.

20100100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470059 (or 470057 counting only the distinct ones).

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

Adding to 20100100002220 its reverse (2220000100102), we get a palindrome (22320100102322).

The spelling of 20100100002220 in words is "twenty trillion, one hundred billion, one hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 18713 37426 74852 93565 130991 187130 261982 318121 374260 451313 523964 636242 654955 902626 1272484 1309910 1590605 1805252 2226847 2256565 2619820 3159191 3181210 4453694 4513130 6318382 6362420 7672321 8907388 9026260 11134235 12636764 15344642 15795955 22268470 30689284 31591910 38361605 44536940 53706247 63183820 76723210 107412494 153446420 214824988 268531235 537062470 1074124940 8445420169 16890840338 33781680676 42227100845 59117941183 84454201690 118235882366 143572142873 168908403380 236471764732 287144285746 295589705915 574288571492 591179411830 717860714365 1005005000111 1182358823660 1435721428730 2010010000222 2871442857460 4020020000444 5025025000555 10050050001110 20100100002220