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214123521221112 = 233414336911371061
BaseRepresentation
bin110000101011111010000100…
…011010111010000111111000
31001002011000020100112012010010
4300223322010122322013320
5211031144432413033422
62035222553201021520
763046625316023346
oct6053720432720770
91032130210465103
10214123521221112
11622543035a4648
12200226a60248a0
1392629b8a86979
143ac38c2d1c996
1519b4c9e142b0c
hexc2be846ba1f8

214123521221112 has 128 divisors (see below), whose sum is σ = 561270225035520. Its totient is φ = 67995801216000.

The previous prime is 214123521221081. The next prime is 214123521221147. The reversal of 214123521221112 is 211122125321412.

214123521221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214123521221112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155488062 + ... + 156859122.

It is an arithmetic number, because the mean of its divisors is an integer number (4384923633090).

Almost surely, 2214123521221112 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 214123521221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280635112517760).

214123521221112 is an abundant number, since it is smaller than the sum of its proper divisors (347146703814408).

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

214123521221112 is a wasteful number, since it uses less digits than its factorization.

214123521221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374845 (or 1374841 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

Adding to 214123521221112 its reverse (211122125321412), we get a palindrome (425245646542524).

The spelling of 214123521221112 in words is "two hundred fourteen trillion, one hundred twenty-three billion, five hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 984 1032 1763 3526 3691 5289 7052 7382 10578 11073 14104 14764 21156 22146 29528 42312 44292 88584 151331 158713 302662 317426 453993 476139 605324 634852 907986 952278 1210648 1269704 1371061 1815972 1904556 2742122 3631944 3809112 4113183 5484244 6507233 8226366 10968488 13014466 16452732 19521699 26028932 32905464 39043398 52057864 56213501 58955623 78086796 112427002 117911246 156173592 168640503 176866869 224854004 235822492 337281006 353733738 449708008 471644984 674562012 707467476 1349124024 1414934952 2417180543 4834361086 5060586151 7251541629 9668722172 10121172302 14503083258 15181758453 19337444344 20242344604 29006166516 30363516906 40484689208 58012333032 60727033812 121454067624 207484032191 217605204493 414968064382 435210408986 622452096573 652815613479 829936128764 870420817972 1244904193146 1305631226958 1659872257528 1740841635944 2489808386292 2611262453916 4979616772584 5222524907832 8921813384213 17843626768426 26765440152639 35687253536852 53530880305278 71374507073704 107061760610556 214123521221112