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100220020112200 = 23521094597248629
BaseRepresentation
bin10110110010011001001010…
…101100101011101101001000
3111010211221101111222021210011
4112302121022230223231020
5101114001100122042300
6553052235221201304
730052441345220302
oct2662311254535510
9433757344867704
10100220020112200
1129a2a087693a4a
12b2a7389b60234
1343bc927062251
141aa6963b32972
15b8be45633eba
hex5b264ab2bb48

100220020112200 has 48 divisors (see below), whose sum is σ = 235149267424500. Its totient is φ = 39720228145920.

The previous prime is 100220020112183. The next prime is 100220020112213. The reversal of 100220020112200 is 2211020022001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29299941095364 + 70920079016836 = 5412942^2 + 8421406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2298602515 + ... + 2298646114.

Almost surely, 2100220020112200 is an apocalyptic number.

100220020112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220020112200 is an abundant number, since it is smaller than the sum of its proper divisors (134929247312300).

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

100220020112200 is a wasteful number, since it uses less digits than its factorization.

100220020112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597248754 (or 4597248745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100220020112200 its reverse (2211020022001), we get a palindrome (102431040134201).

The spelling of 100220020112200 in words is "one hundred trillion, two hundred twenty billion, twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 4597248629 9194497258 18388994516 22986243145 36777989032 45972486290 91944972580 114931215725 183889945160 229862431450 459724862900 501100100561 919449725800 1002200201122 2004400402244 2505500502805 4008800804488 5011001005610 10022002011220 12527502514025 20044004022440 25055005028050 50110010056100 100220020112200