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100120201311 = 3137335166913
BaseRepresentation
bin101110100111110100…
…0010000100001011111
3100120102112211012110010
41131033220100201133
53120021232420221
6113554455214303
710143033445434
oct1351750204137
9316375735403
10100120201311
1139508275129
12174a2077393
1395976a7190
144bbadcdb8b
15290ea7ec76
hex174fa1085f

100120201311 has 16 divisors (see below), whose sum is σ = 145731691616. Its totient is φ = 60768423936.

The previous prime is 100120201261. The next prime is 100120201343. The reversal of 100120201311 is 113102021001.

It is not a de Polignac number, because 100120201311 - 210 = 100120200287 is a prime.

It is a super-2 number, since 2×1001202013112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120201361) 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, 17580610 + ... + 17586303.

It is an arithmetic number, because the mean of its divisors is an integer number (9108230726).

Almost surely, 2100120201311 is an apocalyptic number.

100120201311 is a deficient number, since it is larger than the sum of its proper divisors (45611490305).

100120201311 is a wasteful number, since it uses less digits than its factorization.

100120201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35167002.

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

Adding to 100120201311 its reverse (113102021001), we get a palindrome (213222222312).

The spelling of 100120201311 in words is "one hundred billion, one hundred twenty million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 13 39 73 219 949 2847 35166913 105500739 457169869 1371509607 2567184649 7701553947 33373400437 100120201311