Search a number
-
+
110133111002232 = 233311108211335743
BaseRepresentation
bin11001000010101001011100…
…111101011001010001111000
3112102221121210212101022111210
4121002221130331121101320
5103413410102404032412
61030122241442323120
732124566105414343
oct3102513475312170
9472847725338453
10110133111002232
113210120aaa634a
12104286500594a0
13495b67a853ac6
141d2a68466945a
15caec3574483c
hex642a5cf59478

110133111002232 has 64 divisors (see below), whose sum is σ = 284217257410560. Its totient is φ = 35526462825600.

The previous prime is 110133111002219. The next prime is 110133111002281. The reversal of 110133111002232 is 232200111331011.

It is a super-3 number, since 3×1101331110022323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110133111002199 and 110133111002208.

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, 81782953 + ... + 83118695.

It is an arithmetic number, because the mean of its divisors is an integer number (4440894647040).

Almost surely, 2110133111002232 is an apocalyptic number.

110133111002232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110133111002232 is an abundant number, since it is smaller than the sum of its proper divisors (174084146408328).

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

110133111002232 is a wasteful number, since it uses less digits than its factorization.

110133111002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446604 (or 1446600 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 110133111002232 its reverse (232200111331011), we get a palindrome (342333222333243).

The spelling of 110133111002232 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred eleven million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 110821 221642 332463 443284 664926 886568 1329852 1335743 2659704 2671486 3435451 4007229 5342972 6870902 8014458 10306353 10685944 13741804 16028916 20612706 27483608 32057832 41225412 41408033 82450824 82816066 124224099 165632132 248448198 331264264 496896396 993792792 148028375003 296056750006 444085125009 592113500012 888170250018 1184227000024 1776340500036 3552681000072 4588879625093 9177759250186 13766638875279 18355518500372 27533277750558 36711037000744 55066555501116 110133111002232