Search a number
-
+
13210233432 = 23311374872777
BaseRepresentation
bin11000100110110010…
…00010101001011000
31021002122101101111220
430103121002221120
5204023304432212
610022501052040
7645235063044
oct142331025130
937078341456
1013210233432
1156699179a0
1226880b7020
131326accb96
148d4653024
15524b2d38c
hex313642a58

13210233432 has 128 divisors (see below), whose sum is σ = 37090967040. Its totient is φ = 3885511680.

The previous prime is 13210233431. The next prime is 13210233481. The reversal of 13210233432 is 23433201231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210233431) 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, 4755628 + ... + 4758404.

It is an arithmetic number, because the mean of its divisors is an integer number (289773180).

Almost surely, 213210233432 is an apocalyptic number.

13210233432 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 13210233432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545483520).

13210233432 is an abundant number, since it is smaller than the sum of its proper divisors (23880733608).

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

13210233432 is a wasteful number, since it uses less digits than its factorization.

13210233432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13210233432 its reverse (23433201231), we get a palindrome (36643434663).

It can be divided in two parts, 13210 and 233432, that added together give a palindrome (246642).

The spelling of 13210233432 in words is "thirteen billion, two hundred ten million, two hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 487 814 888 974 1221 1461 1628 1948 2442 2777 2922 3256 3896 4884 5357 5554 5844 8331 9768 10714 11108 11688 16071 16662 18019 21428 22216 30547 32142 33324 36038 42856 54057 61094 64284 66648 72076 91641 102749 108114 122188 128568 144152 183282 198209 205498 216228 244376 308247 366564 396418 410996 432456 594627 616494 733128 792836 821992 1130239 1189254 1232988 1352399 1585672 2260478 2378508 2465976 2704798 3390717 4057197 4520956 4757016 5409596 6781434 8114394 9041912 10819192 13562868 14876389 16228788 27125736 29752778 32457576 44629167 50038763 59505556 89258334 100077526 119011112 150116289 178516668 200155052 300232578 357033336 400310104 550426393 600465156 1100852786 1200930312 1651279179 2201705572 3302558358 4403411144 6605116716 13210233432