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100212110119 = 1117599082943
BaseRepresentation
bin101110101010100011…
…0110111001100100111
3100120122221202122122001
41131111012313030213
53120213300010434
6114011541150131
710145230611232
oct1352506671447
9316587678561
10100212110119
113955513a620
12175089bb347
1395b0746ba4
144bc92b6419
152917b87114
hex17551b7327

100212110119 has 16 divisors (see below), whose sum is σ = 117714954240. Its totient is φ = 84289701760.

The previous prime is 100212110111. The next prime is 100212110137. The reversal of 100212110119 is 911011212001.

It is not a de Polignac number, because 100212110119 - 23 = 100212110111 is a prime.

It is a super-3 number, since 3×1002121101193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212110096 and 100212110105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212110111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4530439 + ... + 4552504.

It is an arithmetic number, because the mean of its divisors is an integer number (7357184640).

Almost surely, 2100212110119 is an apocalyptic number.

100212110119 is a deficient number, since it is larger than the sum of its proper divisors (17502844121).

100212110119 is a wasteful number, since it uses less digits than its factorization.

100212110119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083030.

The product of its (nonzero) digits is 36, while the sum is 19.

It can be divided in two parts, 1002 and 12110119, that added together give a palindrome (12111121).

The spelling of 100212110119 in words is "one hundred billion, two hundred twelve million, one hundred ten thousand, one hundred nineteen".

Divisors: 1 11 17 59 187 649 1003 11033 9082943 99912373 154410031 535893637 1698510341 5894830007 9110191829 100212110119