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114222050514210 = 23537533795122853
BaseRepresentation
bin11001111110001001100100…
…101111110001010100100010
3112222102112002002110100111010
4121332021210233301110202
5104432403224412423320
61042532515143001350
733026161614664302
oct3176114457612442
9488375062410433
10114222050514210
1133438332830721
1210988bb9739256
134b971298464b2
14202c53bad1602
15d3129e8ecae0
hex67e264bf1522

114222050514210 has 128 divisors (see below), whose sum is σ = 287610957722880. Its totient is φ = 29000096326656.

The previous prime is 114222050514071. The next prime is 114222050514227. The reversal of 114222050514210 is 12415050222411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 19735144 + ... + 24857996.

It is an arithmetic number, because the mean of its divisors is an integer number (2246960607210).

Almost surely, 2114222050514210 is an apocalyptic number.

114222050514210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114222050514210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143805478861440).

114222050514210 is an abundant number, since it is smaller than the sum of its proper divisors (173388907208670).

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

114222050514210 is a wasteful number, since it uses less digits than its factorization.

114222050514210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123332.

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 114222050514210 in words is "one hundred fourteen trillion, two hundred twenty-two billion, fifty million, five hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 53 74 106 111 159 185 222 265 318 370 379 530 555 758 795 1110 1137 1590 1895 1961 2274 3790 3922 5685 5883 9805 11370 11766 14023 19610 20087 28046 29415 40174 42069 58830 60261 70115 84138 100435 120522 140230 200870 210345 301305 420690 602610 743219 1486438 2229657 3716095 4459314 5122853 7432190 10245706 11148285 15368559 22296570 25614265 30737118 51228530 76842795 153685590 189545561 271511209 379091122 543022418 568636683 814533627 947727805 1137273366 1357556045 1629067254 1895455610 1941561287 2715112090 2843183415 3883122574 4072668135 5686366830 5824683861 8145336270 9707806435 10045914733 11649367722 19415612870 20091829466 29123419305 30137744199 50229573665 58246838610 60275488398 71837767619 100459147330 102902748211 143675535238 150688720995 205805496422 215513302857 301377441990 308708244633 359188838095 431026605714 514513741055 617416489266 718377676190 1029027482110 1077566514285 1543541223165 2155133028570 3087082446330 3807401683807 7614803367614 11422205051421 19037008419035 22844410102842 38074016838070 57111025257105 114222050514210