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100101212211 = 371113101330037
BaseRepresentation
bin101110100111001111…
…1110100100000110011
3100120101020002110022010
41131032133310200303
53120001402242321
6113552540214003
710142413156560
oct1351637644063
9316336073263
10100101212211
11394a8585360
121749783a303
139593788c20
144bb8689867
15290d07d676
hex174e7f4833

100101212211 has 64 divisors (see below), whose sum is σ = 180976997376. Its totient is φ = 47525184000.

The previous prime is 100101212203. The next prime is 100101212213. The reversal of 100101212211 is 112212101001.

It is not a de Polignac number, because 100101212211 - 23 = 100101212203 is a prime.

It is a super-2 number, since 2×1001012122112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101212213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138285 + ... + 468321.

It is an arithmetic number, because the mean of its divisors is an integer number (2827765584).

Almost surely, 2100101212211 is an apocalyptic number.

100101212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101212211 is a deficient number, since it is larger than the sum of its proper divisors (80875785165).

100101212211 is a wasteful number, since it uses less digits than its factorization.

100101212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330172.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101212211 its reverse (112212101001), we get a palindrome (212313313212).

It can be divided in two parts, 10010 and 1212211, that added together give a palindrome (1222221).

The spelling of 100101212211 in words is "one hundred billion, one hundred one million, two hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 429 707 1001 1111 1313 2121 3003 3333 3939 7777 9191 14443 23331 27573 43329 101101 303303 330037 990111 2310259 3630407 4290481 6930777 10891221 12871443 25412849 30033367 33333737 47195291 76238547 90100101 100001211 141585873 233336159 330367037 366671107 433338581 700008477 991101111 1100013321 1300015743 2566697749 3033370067 4766724391 7700093247 9100110201 14300173173 33367070737 100101212211