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20220202200112 = 24296115727716427
BaseRepresentation
bin1001001100011111000011…
…11110000010110000110000
32122121000212122202021210221
410212033201332002300300
510122241433230400422
6111001011015302424
74154601313602325
oct446174176026060
978530778667727
1020220202200112
116496381003192
12232698897aa14
13b389abb55375
144dc93d41ab4c
15250e91bb73c7
hex1263e1f82c30

20220202200112 has 160 divisors (see below), whose sum is σ = 41606502995520. Its totient is φ = 9505276784640.

The previous prime is 20220202200073. The next prime is 20220202200119. The reversal of 20220202200112 is 21100220202202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20220202200119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230904443 + ... + 1230920869.

It is an arithmetic number, because the mean of its divisors is an integer number (260040643722).

Almost surely, 220220202200112 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 20220202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803251497760).

20220202200112 is an abundant number, since it is smaller than the sum of its proper divisors (21386300795408).

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

20220202200112 is a wasteful number, since it uses less digits than its factorization.

20220202200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20220202200112 its reverse (21100220202202), we get a palindrome (41320422402314).

The spelling of 20220202200112 in words is "twenty trillion, two hundred twenty billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 61 116 122 157 232 244 277 314 464 488 554 628 976 1108 1256 1769 2216 2512 3538 4432 4553 7076 8033 9106 9577 14152 16066 16427 16897 18212 19154 28304 32132 32854 33794 36424 38308 43489 64264 65708 67588 72848 76616 86978 128528 131416 135176 153232 173956 262832 270352 277733 347912 476383 490013 555466 695824 952766 980026 1002047 1110932 1261181 1905532 1960052 2004094 2221864 2522362 2579039 2652829 3811064 3920104 4008188 4443728 4550279 5044724 5158078 5305658 7622128 7840208 8016376 9100558 10089448 10316156 10611316 16032752 18201116 20178896 20632312 21222632 29059363 36402232 41264624 42445264 58118726 72804464 74792131 76932041 116237452 131958091 149584262 153864082 157321379 232474904 263916182 277567019 299168524 307728164 314642758 464949808 527832364 555134038 598337048 615456328 629285516 714393803 1055664728 1110268076 1196674096 1230912656 1258571032 1428787606 2111329456 2220536152 2517142064 2857575212 4441072304 4562319991 5715150424 8049443551 9124639982 11430300848 16098887102 18249279964 20717420287 32197774204 36498559928 41434840574 43578021983 64395548408 72997119856 82869681148 87156043966 128791096816 165739362296 174312087932 331478724592 348624175864 697248351728 1263762637507 2527525275014 5055050550028 10110101100056 20220202200112