Search a number
-
+
1111103023032 = 2337122951673
BaseRepresentation
bin10000001010110010111…
…001101010011110111000
310221012221200100210000000
4100022302321222132320
5121201014333214112
62210233401513000
7143163111603042
oct20126271523670
93835850323000
101111103023032
11399241765592
1215b40a1a2760
1380a131643a2
143bac5d14a92
151dd805e07dc
hex102b2e6a7b8

1111103023032 has 128 divisors (see below), whose sum is σ = 3127103784000. Its totient is φ = 370059155712.

The previous prime is 1111103022983. The next prime is 1111103023033. The reversal of 1111103023032 is 2303203011111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1111103022996 and 1111103023014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111103023033) 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, 21476748 + ... + 21528420.

Almost surely, 21111103023032 is an apocalyptic number.

1111103023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111103023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563551892000).

1111103023032 is an abundant number, since it is smaller than the sum of its proper divisors (2016000760968).

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

1111103023032 is an equidigital number, since it uses as much as digits as its factorization.

1111103023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52929 (or 52907 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1111103023032 its reverse (2303203011111), we get a palindrome (3414306034143).

The spelling of 1111103023032 in words is "one trillion, one hundred eleven billion, one hundred three million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1229 1458 1944 2187 2458 2916 3687 4374 4916 5832 7374 8748 9832 11061 14748 17496 22122 29496 33183 44244 51673 66366 88488 99549 103346 132732 155019 199098 206692 265464 298647 310038 398196 413384 465057 597294 620076 796392 895941 930114 1194588 1240152 1395171 1791882 1860228 2389176 2687823 2790342 3583764 3720456 4185513 5375646 5580684 7167528 8371026 10751292 11161368 12556539 16742052 21502584 25113078 33484104 37669617 50226156 63506117 75339234 100452312 113008851 127012234 150678468 190518351 226017702 254024468 301356936 381036702 452035404 508048936 571555053 762073404 904070808 1143110106 1524146808 1714665159 2286220212 3429330318 4572440424 5143995477 6858660636 10287990954 13717321272 15431986431 20575981908 30863972862 41151963816 46295959293 61727945724 92591918586 123455891448 138887877879 185183837172 277775755758 370367674344 555551511516 1111103023032