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2021114124344 = 2371094634791493
BaseRepresentation
bin11101011010010011110…
…010100001100000111000
321011012211220210111111102
4131122103302201200320
5231103220203434334
64144253105550532
7266010043412630
oct35322362414070
97135756714442
102021114124344
1170a171261a27
12287857045448
131187899c6883
146db72b0d6c0
153789196e67e
hex1d693ca1838

2021114124344 has 128 divisors (see below), whose sum is σ = 4392216576000. Its totient is φ = 854031112704.

The previous prime is 2021114124221. The next prime is 2021114124353. The reversal of 2021114124344 is 4434214111202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1353726062 + ... + 1353727554.

It is an arithmetic number, because the mean of its divisors is an integer number (34314192000).

Almost surely, 22021114124344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021114124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196108288000).

2021114124344 is an abundant number, since it is smaller than the sum of its proper divisors (2371102451656).

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

2021114124344 is a wasteful number, since it uses less digits than its factorization.

2021114124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 2021114124344 its reverse (4434214111202), we get a palindrome (6455328235546).

The spelling of 2021114124344 in words is "two trillion, twenty-one billion, one hundred fourteen million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 109 218 436 463 479 763 872 926 958 1493 1526 1852 1916 2986 3052 3241 3353 3704 3832 5972 6104 6482 6706 10451 11944 12964 13412 20902 25928 26824 41804 50467 52211 83608 100934 104422 162737 201868 208844 221777 325474 353269 365477 403736 417688 443554 650948 691259 706538 715147 730954 887108 1139159 1301896 1382518 1413076 1430294 1461908 1552439 1774216 2278318 2765036 2826152 2860588 2923816 3104878 4556636 4838813 5006029 5530072 5721176 6209756 9113272 9677626 10012058 12419512 19355252 20024116 24173693 38710504 40048232 48347386 75347231 77951023 96694772 150694462 155902046 169215851 193389544 301388924 311804092 331113061 338431702 527430617 545657161 602777848 623608184 662226122 676863404 1054861234 1091314322 1324452244 1353726808 2109722468 2182628644 2317791427 2648904488 4219444936 4365257288 4635582854 9271165708 18542331416 36091323649 72182647298 144365294596 252639265543 288730589192 505278531086 1010557062172 2021114124344