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10001202200112 = 2435319919755227
BaseRepresentation
bin1001000110001001011000…
…0110101011111000110000
31022102002211222101100100110
42101202112012223320300
52302324430230400422
633134253332221320
72051364054025014
oct221422606537060
938362758340313
1010001202200112
113206538a02832
12115637246a840
13577156240236
142680bca72544
1512524a76560c
hex918961abe30

10001202200112 has 80 divisors (see below), whose sum is σ = 26456201337600. Its totient is φ = 3254396910336.

The previous prime is 10001202200089. The next prime is 10001202200113. The reversal of 10001202200112 is 21100220210001.

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

It is not an unprimeable number, because it can be changed into a prime (10001202200113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9371358 + ... + 10383869.

It is an arithmetic number, because the mean of its divisors is an integer number (330702516720).

Almost surely, 210001202200112 is an apocalyptic number.

10001202200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001202200112 is an abundant number, since it is smaller than the sum of its proper divisors (16454999137488).

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

10001202200112 is a wasteful number, since it uses less digits than its factorization.

10001202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19755490 (or 19755484 counting only the distinct ones).

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

Adding to 10001202200112 its reverse (21100220210001), we get a palindrome (31101422410113).

The spelling of 10001202200112 in words is "ten trillion, one billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 199 212 318 398 424 597 636 796 848 1194 1272 1592 2388 2544 3184 4776 9552 10547 21094 31641 42188 63282 84376 126564 168752 253128 506256 19755227 39510454 59265681 79020908 118531362 158041816 237062724 316083632 474125448 948250896 1047027031 2094054062 3141081093 3931290173 4188108124 6282162186 7862580346 8376216248 11793870519 12564324372 15725160692 16752432496 23587741038 25128648744 31450321384 47175482076 50257297488 62900642768 94350964152 188701928304 208358379169 416716758338 625075137507 833433516676 1250150275014 1666867033352 2500300550028 3333734066704 5000601100056 10001202200112