Search a number
-
+
111102001122112 = 26711131734234533
BaseRepresentation
bin11001010000101111110011…
…010011111000101101000000
3112120101020200111002002022121
4121100233303103320231000
5104030243344241401422
61032143315452214024
732254566105511420
oct3120576323705500
9476336614062277
10111102001122112
1132445104234910
121056438b46a314
1349cbb48827750
141d615190b6480
15cca040be88c7
hex650bf34f8b40

111102001122112 has 112 divisors (see below), whose sum is σ = 296013024139392. Its totient is φ = 39956763617280.

The previous prime is 111102001122083. The next prime is 111102001122143. The reversal of 111102001122112 is 211221100201111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1111020011221122 (a number of 29 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 867053203 + ... + 867181330.

It is an arithmetic number, because the mean of its divisors is an integer number (2642973429816).

Almost surely, 2111102001122112 is an apocalyptic number.

It is an amenable number.

111102001122112 is an abundant number, since it is smaller than the sum of its proper divisors (184911023017280).

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

111102001122112 is a wasteful number, since it uses less digits than its factorization.

111102001122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734234576 (or 1734234566 counting only the distinct ones).

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

Adding to 111102001122112 its reverse (211221100201111), we get a palindrome (322323101323223).

The spelling of 111102001122112 in words is "one hundred eleven trillion, one hundred two billion, one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 16016 32032 64064 1734234533 3468469066 6936938132 12139641731 13873876264 19076579863 22545048929 24279283462 27747752528 38153159726 45090097858 48558566924 55495505056 76306319452 90180195716 97117133848 110991010112 133536059041 152612638904 157815342503 180360391432 194234267696 247995538219 267072118082 305225277808 315630685006 360720782864 388468535392 495991076438 534144236164 610450555616 631261370012 721441565728 776937070784 991982152876 1068288472328 1220901111232 1262522740024 1442883131456 1735968767533 1983964305752 2136576944656 2525045480048 3471937535066 3967928611504 4273153889312 5050090960096 6943875070132 7935857223008 8546307778624 10100181920192 13887750140264 15871714446016 27775500280528 55551000561056 111102001122112