Search a number
-
+
234441203031100 = 225213676133438877
BaseRepresentation
bin110101010011100100011000…
…101000001001110000111100
31010202002100201112100201220101
4311103210120220021300330
5221212041040433443400
62150340445110530444
7100244550363633232
oct6523443050116074
91122070645321811
10234441203031100
1168777a5727248a
1222364338666a24
13a0a7931200460
1441c702c75c952
151c18548b3c56a
hexd53918a09c3c

234441203031100 has 144 divisors (see below), whose sum is σ = 556140169660768. Its totient is φ = 85256824181760.

The previous prime is 234441203031097. The next prime is 234441203031109. The reversal of 234441203031100 is 1130302144432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234441203031109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533964862 + ... + 534403738.

Almost surely, 2234441203031100 is an apocalyptic number.

234441203031100 is a gapful number since it is divisible by the number (20) 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 234441203031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278070084830384).

234441203031100 is an abundant number, since it is smaller than the sum of its proper divisors (321698966629668).

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

234441203031100 is a wasteful number, since it uses less digits than its factorization.

234441203031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445104 (or 445097 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 234441203031100 its reverse (1130302144432), we get a palindrome (235571505175532).

The spelling of 234441203031100 in words is "two hundred thirty-four trillion, four hundred forty-one billion, two hundred three million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 650 670 871 1300 1340 1675 1742 3350 3484 4355 6133 6700 8710 12266 17420 21775 24532 30665 43550 61330 79729 87100 122660 153325 159458 306650 318916 398645 410911 438877 613300 797290 821822 877754 1594580 1643644 1755508 1993225 2054555 2194385 3986450 4109110 4388770 5341843 5705401 7972900 8218220 8777540 10272775 10683686 10971925 11410802 20545550 21367372 21943850 22821604 26709215 28527005 29404759 41091100 43887700 53418430 57054010 58809518 106836860 114108020 117619036 133546075 142635025 147023795 267092150 285270050 294047590 382261867 534184300 570540100 588095180 735118975 764523734 1470237950 1529047468 1911309335 2691632641 2940475900 3822618670 5383265282 7645237340 9556546675 10766530564 13458163205 19113093350 26916326410 34991224333 38226186700 53832652820 67290816025 69982448666 134581632050 139964897332 174956121665 180339386947 269163264100 349912243330 360678773894 699824486660 721357547788 874780608325 901696934735 1749561216650 1803393869470 2344412030311 3499122433300 3606787738940 4508484673675 4688824060622 9016969347350 9377648121244 11722060151555 18033938694700 23444120303110 46888240606220 58610300757775 117220601515550 234441203031100