Search a number
-
+
20220111010110 = 235114312831110643
BaseRepresentation
bin1001001100011110111001…
…00010001011100100111110
32122121000122022011100122110
410212033130202023210332
510122241241404310420
6111000554000554450
74154566125522264
oct446173442134476
978530568140573
1020220111010110
116496334589850
122326962322a26
13b38995ca789b
144dc931280434
15250e88ba2ee0
hex1263dc88b93e

20220111010110 has 128 divisors (see below), whose sum is σ = 54213359118336. Its totient is φ = 4784112627840.

The previous prime is 20220111010093. The next prime is 20220111010123. The reversal of 20220111010110 is 1101011102202.

It is a super-2 number, since 2×202201110101102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17650449 + ... + 18761091.

It is an arithmetic number, because the mean of its divisors is an integer number (423541868112).

Almost surely, 220220111010110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220111010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27106679559168).

20220111010110 is an abundant number, since it is smaller than the sum of its proper divisors (33993248108226).

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

20220111010110 is a wasteful number, since it uses less digits than its factorization.

20220111010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111990.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20220111010110 its reverse (1101011102202), we get a palindrome (21321122112312).

The spelling of 20220111010110 in words is "twenty trillion, two hundred twenty billion, one hundred eleven million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1283 1290 1419 2365 2566 2838 3849 4730 6415 7095 7698 12830 14113 14190 19245 28226 38490 42339 55169 70565 84678 110338 141130 165507 211695 275845 331014 423390 551690 606859 827535 1110643 1213718 1655070 1820577 2221286 3034295 3331929 3641154 5553215 6068590 6663858 9102885 11106430 12217073 16659645 18205770 24434146 33319290 36651219 47757649 61085365 73302438 95515298 122170730 143272947 183256095 238788245 286545894 366512190 477576490 525334139 716364735 1050668278 1424954969 1432729470 1576002417 2626670695 2849909938 3152004834 4274864907 5253341390 7124774845 7880012085 8549729814 14249549690 15674504659 15760024170 21374324535 31349009318 42748649070 47023513977 61273063667 78372523295 94047027954 122546127334 156745046590 183819191001 235117569885 306365318335 367638382002 470235139770 612730636670 674003700337 919095955005 1348007400674 1838191910010 2022011101011 3370018501685 4044022202022 6740037003370 10110055505055 20220111010110