Search a number
-
+
231023103113000 = 235311163128847241
BaseRepresentation
bin110100100001110101000001…
…111111101111011100101000
31010021222121000021022222120102
4310201311001333233130220
5220240040303344104000
62135202314243044532
766442603601001452
oct6441650177573450
91107877007288512
10231023103113000
116767a390a47010
1221ab19a9970748
139bba501219513
1441098138a72d2
151ba96939ab3d5
hexd21d41fef728

231023103113000 has 128 divisors (see below), whose sum is σ = 593357011079040. Its totient is φ = 83493011520000.

The previous prime is 231023103112961. The next prime is 231023103113009. The reversal of 231023103113000 is 311301320132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (231023103113009) 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, 62630621 + ... + 66216620.

It is an arithmetic number, because the mean of its divisors is an integer number (4635601649055).

Almost surely, 2231023103113000 is an apocalyptic number.

231023103113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231023103113000 is an abundant number, since it is smaller than the sum of its proper divisors (362333907966040).

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

231023103113000 is a wasteful number, since it uses less digits than its factorization.

231023103113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128847436 (or 128847422 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 231023103113000 its reverse (311301320132), we get a palindrome (231334404433132).

The spelling of 231023103113000 in words is "two hundred thirty-one trillion, twenty-three billion, one hundred three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 163 200 220 250 275 326 440 500 550 652 815 1000 1100 1304 1375 1630 1793 2200 2750 3260 3586 4075 5500 6520 7172 8150 8965 11000 14344 16300 17930 20375 32600 35860 40750 44825 71720 81500 89650 163000 179300 224125 358600 448250 896500 1793000 128847241 257694482 515388964 644236205 1030777928 1288472410 1417319651 2576944820 2834639302 3221181025 5153889640 5669278604 6442362050 7086598255 11338557208 12884724100 14173196510 16105905125 21002100283 25769448200 28346393020 32211810250 35432991275 42004200566 56692786040 64423620500 70865982550 84008401132 105010501415 128847241000 141731965100 168016802264 177164956375 210021002830 231023103113 283463930200 354329912750 420042005660 462046206226 525052507075 708659825500 840084011320 924092412452 1050105014150 1155115515565 1417319651000 1848184824904 2100210028300 2310231031130 2625262535375 4200420056600 4620462062260 5250525070750 5775577577825 9240924124520 10501050141500 11551155155650 21002100283000 23102310311300 28877887889125 46204620622600 57755775778250 115511551556500 231023103113000