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2021100114 = 231117323271
BaseRepresentation
bin111100001110111…
…1000101001010010
312012212001112010210
41320131320221102
513114400200424
6532315104550
7101041032105
oct17035705122
95185045123
102021100114
11947949480
12484a42156
13262954437
141525cc73c
15bc67e729
hex78778a52

2021100114 has 128 divisors (see below), whose sum is σ = 4906967040. Its totient is φ = 549331200.

The previous prime is 2021100089. The next prime is 2021100121. The reversal of 2021100114 is 4110011202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2021100114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7457799 + ... + 7458069.

It is an arithmetic number, because the mean of its divisors is an integer number (38335680).

Almost surely, 22021100114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021100114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453483520).

2021100114 is an abundant number, since it is smaller than the sum of its proper divisors (2885866926).

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

2021100114 is a wasteful number, since it uses less digits than its factorization.

2021100114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

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

The square root of 2021100114 is about 44956.6470502416. The cubic root of 2021100114 is about 1264.3363053384.

Adding to 2021100114 its reverse (4110011202), we get a palindrome (6131111316).

The spelling of 2021100114 in words is "two billion, twenty-one million, one hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 271 289 374 391 506 542 561 578 759 782 813 867 1122 1173 1518 1626 1734 2346 2981 3179 4301 4607 4913 5962 6233 6358 6647 8602 8943 9214 9537 9826 12466 12903 13294 13821 14739 17886 18699 19074 19941 25806 27642 29478 37398 39882 50677 54043 68563 73117 78319 101354 105961 108086 112999 137126 146234 152031 156638 162129 205689 211922 219351 225998 234957 304062 317883 324258 338997 411378 438702 469914 635766 677994 861509 1165571 1242989 1331423 1723018 1801337 2331142 2485978 2584527 2662846 3496713 3602674 3728967 3994269 5169054 5404011 6993426 7457934 7988538 10808022 14645653 19814707 29291306 30622729 39629414 43936959 59444121 61245458 87873918 91868187 118888242 183736374 336850019 673700038 1010550057 2021100114