Search a number
-
+
1023231123100 = 2252237318233343
BaseRepresentation
bin11101110001111010101…
…00111101111010011100
310121211010201212202100201
432320331110331322130
5113231034131414400
62102022122033244
7133632423016624
oct16707524757234
93554121782321
101023231123100
11364a4a32558a
12146386048824
137564b1bb224
143774b8d9884
151b93aecc06a
hexee3d53de9c

1023231123100 has 144 divisors (see below), whose sum is σ = 2350681546752. Its totient is φ = 385806896640.

The previous prime is 1023231123091. The next prime is 1023231123137. The reversal of 1023231123100 is 13211323201.

It is a super-2 number, since 2×10232311231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306080029 + ... + 306083371.

It is an arithmetic number, because the mean of its divisors is an integer number (16324177408).

Almost surely, 21023231123100 is an apocalyptic number.

1023231123100 is a gapful number since it is divisible by the number (10) 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 1023231123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175340773376).

1023231123100 is an abundant number, since it is smaller than the sum of its proper divisors (1327450423652).

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

1023231123100 is a wasteful number, since it uses less digits than its factorization.

1023231123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1023231123100 its reverse (13211323201), we get a palindrome (1036442446301).

The spelling of 1023231123100 in words is "one trillion, twenty-three billion, two hundred thirty-one million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 73 92 100 115 146 230 292 365 460 575 730 1150 1460 1679 1823 1825 2300 3343 3358 3646 3650 6686 6716 7292 7300 8395 9115 13372 16715 16790 18230 33430 33580 36460 41929 41975 45575 66860 76889 83575 83858 83950 91150 133079 153778 167150 167716 167900 182300 209645 244039 266158 307556 334300 384445 419290 488078 532316 665395 768890 838580 976156 1048225 1220195 1330790 1537780 1922225 2096450 2440390 2661580 3060817 3326975 3844450 4192900 4880780 5612897 6094289 6100975 6121634 6653950 7688900 11225794 12188578 12201950 12243268 13307900 15304085 22451588 24377156 24403900 28064485 30471445 30608170 56128970 60942890 61216340 76520425 112257940 121885780 140168647 140322425 152357225 153040850 280337294 280644850 304714450 306081700 444883097 560674588 561289700 609428900 700843235 889766194 1401686470 1779532388 2224415485 2803372940 3504216175 4448830970 7008432350 8897661940 10232311231 11122077425 14016864700 20464622462 22244154850 40929244924 44488309700 51161556155 102323112310 204646224620 255807780775 511615561550 1023231123100