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10552415224100 = 22521731200235583
BaseRepresentation
bin1001100110001110110011…
…1101100000000100100100
31101100210121221221020022012
42121203230331200010210
52340342321244132400
634235413532253352
72136246454311251
oct231435475400444
941323557836265
1010552415224100
1133a9288325142
121225166611258
135b711c5322a9
14286a4d746428
1513475c49cd35
hex998ecf60124

10552415224100 has 72 divisors (see below), whose sum is σ = 25027846115328. Its totient is φ = 3844523174400.

The previous prime is 10552415224063. The next prime is 10552415224123. The reversal of 10552415224100 is 142251425501.

It is a super-2 number, since 2×105524152241002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 100065092 + ... + 100170491.

It is an arithmetic number, because the mean of its divisors is an integer number (347608973824).

Almost surely, 210552415224100 is an apocalyptic number.

10552415224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552415224100 is an abundant number, since it is smaller than the sum of its proper divisors (14475430891228).

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

10552415224100 is a wasteful number, since it uses less digits than its factorization.

10552415224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200235645 (or 200235638 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 10552415224100 its reverse (142251425501), we get a palindrome (10694666649601).

The spelling of 10552415224100 in words is "ten trillion, five hundred fifty-two billion, four hundred fifteen million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 5270 10540 13175 26350 52700 200235583 400471166 800942332 1001177915 2002355830 3404004911 4004711660 5005889575 6207303073 6808009822 10011779150 12414606146 13616019644 17020024555 20023558300 24829212292 31036515365 34040049110 62073030730 68080098220 85100122775 105524152241 124146061460 155182576825 170200245550 211048304482 310365153650 340400491100 422096608964 527620761205 620730307300 1055241522410 2110483044820 2638103806025 5276207612050 10552415224100