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20102210210100 = 22352431558310869
BaseRepresentation
bin1001001001000011010010…
…00110010100100100110100
32122011202022121000011011210
410210201221012110210310
510113323311303210400
6110430454453401420
74143223336332414
oct444415106244464
978152277004153
1020102210210100
116450332666757
122307b39639270
13b2a82698b1b5
144d6d48a56644
1524cd88157950
hex124869194934

20102210210100 has 72 divisors (see below), whose sum is σ = 59515008747040. Its totient is φ = 5235924516480.

The previous prime is 20102210210083. The next prime is 20102210210111. The reversal of 20102210210100 is 101201220102.

It is a super-2 number, since 2×201022102101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779142535 + ... + 779168334.

Almost surely, 220102210210100 is an apocalyptic number.

20102210210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102210210100 is an abundant number, since it is smaller than the sum of its proper divisors (39412798536940).

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

20102210210100 is a wasteful number, since it uses less digits than its factorization.

20102210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558310929 (or 1558310922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102210210100 its reverse (101201220102), we get a palindrome (20203411430202).

The spelling of 20102210210100 in words is "twenty trillion, one hundred two billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 1558310869 3116621738 4674932607 6233243476 7791554345 9349865214 15583108690 18699730428 23374663035 31166217380 38957771725 46749326070 67007367367 77915543450 93498652140 116873315175 134014734734 155831086900 201022102101 233746630350 268029469468 335036836835 402044204202 467493260700 670073673670 804088408404 1005110510505 1340147347340 1675184184175 2010221021010 3350368368350 4020442042020 5025552552525 6700736736700 10051105105050 20102210210100