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2122350110430 = 23511591011079269
BaseRepresentation
bin11110111000100101111…
…011001010011011011110
321111220011020011102220120
4132320211323022123132
5234233033112013210
64302554424255410
7306222546166254
oct36704573123336
97456136142816
102122350110430
117490a1342730
122a33aa911566
131251a15ba314
1474a17d8a5d4
153a319452270
hex1ee25eca6de

2122350110430 has 128 divisors (see below), whose sum is σ = 5706834393600. Its totient is φ = 500780352000.

The previous prime is 2122350110423. The next prime is 2122350110449. The reversal of 2122350110430 is 340110532212.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122350110430.

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, 1426836 + ... + 2506104.

It is an arithmetic number, because the mean of its divisors is an integer number (44584643700).

Almost surely, 22122350110430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122350110430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853417196800).

2122350110430 is an abundant number, since it is smaller than the sum of its proper divisors (3584484283170).

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

2122350110430 is a wasteful number, since it uses less digits than its factorization.

2122350110430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079450.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2122350110430 its reverse (340110532212), we get a palindrome (2462460642642).

The spelling of 2122350110430 in words is "two trillion, one hundred twenty-two billion, three hundred fifty million, one hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 101 110 118 165 177 202 295 303 330 354 505 590 606 649 885 1010 1111 1298 1515 1770 1947 2222 3030 3245 3333 3894 5555 5959 6490 6666 9735 11110 11918 16665 17877 19470 29795 33330 35754 59590 65549 89385 131098 178770 196647 327745 393294 655490 983235 1079269 1966470 2158538 3237807 5396345 6475614 10792690 11871959 16189035 23743918 32378070 35615877 59359795 63676871 71231754 109006169 118719590 127353742 178079385 191030613 218012338 318384355 327018507 356158770 382061226 545030845 636768710 654037014 700445581 955153065 1090061690 1199067859 1400891162 1635092535 1910306130 2101336743 2398135718 3270185070 3502227905 3597203577 4202673486 5995339295 6431363971 7004455810 7194407154 10506683715 11990678590 12862727942 17986017885 19294091913 21013367430 32156819855 35972035770 38588183826 64313639710 70745003681 96470459565 141490007362 192940919130 212235011043 353725018405 424470022086 707450036810 1061175055215 2122350110430