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11010110022032 = 2411375333196377
BaseRepresentation
bin1010000000110111110110…
…1100100110000110010000
31102222120000111110000021212
42200031331230212012100
52420342201131201112
635225550312235252
72214311535021242
oct240157554460620
942876014400255
1011010110022032
1135653a8090120
1212999bb69bb28
1361b330b53904
142a0c6c178092
151415e904b522
hexa037db26190

11010110022032 has 160 divisors (see below), whose sum is σ = 24425096586624. Its totient is φ = 4762979020800.

The previous prime is 11010110022029. The next prime is 11010110022047. The reversal of 11010110022032 is 23022001101011.

It is a junction number, because it is equal to n+sod(n) for n = 11010110021998 and 11010110022016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114191828 + ... + 114288204.

Almost surely, 211010110022032 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 11010110022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212548293312).

11010110022032 is an abundant number, since it is smaller than the sum of its proper divisors (13414986564592).

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

11010110022032 is a wasteful number, since it uses less digits than its factorization.

11010110022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96817 (or 96811 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11010110022032 its reverse (23022001101011), we get a palindrome (34032111123043).

The spelling of 11010110022032 in words is "eleven trillion, ten billion, one hundred ten million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 53 74 88 106 148 176 212 296 331 407 424 583 592 662 814 848 1166 1324 1628 1961 2332 2648 3256 3641 3922 4664 5296 6512 7282 7844 9328 12247 14564 15688 17543 21571 24494 29128 31376 35086 43142 48988 58256 70172 86284 96377 97976 134717 140344 172568 192754 192973 195952 269434 280688 345136 385508 385946 538868 649091 771016 771892 1060147 1077736 1298182 1542032 1543784 2120294 2155472 2596364 3087568 3565949 4240588 5107981 5192728 7131898 7140001 8481176 10215962 10385456 14263796 14280002 16962352 20431924 28527592 28560004 31900787 39225439 40863848 56187791 57055184 57120008 63801574 78450878 81727696 112375582 114240016 127603148 156901756 188995297 224751164 255206296 313803512 350908657 377990594 449502328 510412592 627607024 701817314 755981188 899004656 1180329119 1403634628 1511962376 1690741711 2078948267 2360658238 2807269256 3023924752 3381483422 4157896534 4721316476 5614538512 6762966844 8315793068 9442632952 12983620309 13525933688 16631586136 18598158821 18885265904 25967240618 27051867376 33263172272 37196317642 51934481236 62557443307 74392635284 103868962472 125114886614 148785270568 207737924944 250229773228 297570541136 500459546456 688131876377 1000919092912 1376263752754 2752527505508 5505055011016 11010110022032