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100011033220212 = 22327333790019449
BaseRepresentation
bin10110101111010110100010…
…000110111101010001110100
3111010002221221212021012002100
4112233112202012331101310
5101102040044001021322
6552412233454542100
730031362431025102
oct2657264206752164
9433087855235070
10100011033220212
1129959493a74894
12b272984807930
1343a5cccc0220a
141a9a7ba28cc72
15b867b3221dac
hex5af5a21bd474

100011033220212 has 36 divisors (see below), whose sum is σ = 253150559143300. Its totient is φ = 33291530831232.

The previous prime is 100011033220169. The next prime is 100011033220213. The reversal of 100011033220212 is 212022330110001.

100011033220212 is a `hidden beast` number, since 10 + 0 + 0 + 110 + 332 + 2 + 0 + 212 = 666.

100011033220212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62282495989476 + 37728537230736 = 7891926^2 + 6142356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011033220213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1894983337 + ... + 1895036112.

Almost surely, 2100011033220212 is an apocalyptic number.

100011033220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011033220212 is an abundant number, since it is smaller than the sum of its proper divisors (153139525923088).

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

100011033220212 is a wasteful number, since it uses less digits than its factorization.

100011033220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790020192 (or 3790020187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100011033220212 its reverse (212022330110001), we get a palindrome (312033363330213).

The spelling of 100011033220212 in words is "one hundred trillion, eleven billion, thirty-three million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 733 1466 2199 2932 4398 6597 8796 13194 26388 3790019449 7580038898 11370058347 15160077796 22740116694 34110175041 45480233388 68220350082 136440700164 2778084256117 5556168512234 8334252768351 11112337024468 16668505536702 25002758305053 33337011073404 50005516610106 100011033220212