Search a number
-
+
23212333100 = 225211432292143
BaseRepresentation
bin10101100111100100…
…000001100000101100
32012220201002200211202
4111213210001200230
5340014324124400
614355200505032
71451136401345
oct254744014054
965821080752
1023212333100
119931836470
1245b991b178
13225c073c58
1411a2ba10cc
1590cca34d5
hex56790182c

23212333100 has 144 divisors (see below), whose sum is σ = 56499717120. Its totient is φ = 8204716800.

The previous prime is 23212333093. The next prime is 23212333201. The reversal of 23212333100 is 133321232.

It is a super-2 number, since 2×232123331002 (a number of 22 digits) contains 22 as substring.

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

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, 10830629 + ... + 10832771.

Almost surely, 223212333100 is an apocalyptic number.

23212333100 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 23212333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28249858560).

23212333100 is an abundant number, since it is smaller than the sum of its proper divisors (33287384020).

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

23212333100 is a wasteful number, since it uses less digits than its factorization.

23212333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23212333100 its reverse (133321232), we get a palindrome (23345654332).

The spelling of 23212333100 in words is "twenty-three billion, two hundred twelve million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 229 275 430 458 473 550 860 916 946 1075 1100 1145 1892 2143 2150 2290 2365 2519 4286 4300 4580 4730 5038 5725 8572 9460 9847 10076 10715 11450 11825 12595 19694 21430 22900 23573 23650 25190 39388 42860 47146 47300 49235 50380 53575 62975 92149 94292 98470 107150 108317 117865 125950 184298 196940 214300 216634 235730 246175 251900 368596 433268 460745 471460 490747 492350 541585 589325 921490 981494 984700 1013639 1083170 1178650 1842980 1962988 2027278 2166340 2303725 2357300 2453735 2707925 4054556 4607450 4907470 5068195 5398217 5415850 9214900 9814940 10136390 10796434 10831700 12268675 20272780 21102121 21592868 24537350 25340975 26991085 42204242 49074700 50681950 53982170 84408484 101363900 105510605 107964340 134955425 211021210 232123331 269910850 422042420 464246662 527553025 539821700 928493324 1055106050 1160616655 2110212100 2321233310 4642466620 5803083275 11606166550 23212333100