Search a number
-
+
23132202200320 = 28579228759911
BaseRepresentation
bin1010100001001111000101…
…01100011110110100000000
310000220102020221111101122111
411100213202230132310000
511012444222230402240
6121110441553345104
74605150351315313
oct520474254366400
9100812227441574
1023132202200320
1174093480a5604
122717213868194
13cba48500a475
1459d866cb097a
152a1ac59421ea
hex1509e2b1ed00

23132202200320 has 72 divisors (see below), whose sum is σ = 56110231215360. Its totient is φ = 9135755765760.

The previous prime is 23132202200309. The next prime is 23132202200351. The reversal of 23132202200320 is 2300220223132.

It is a junction number, because it is equal to n+sod(n) for n = 23132202200291 and 23132202200300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114278836 + ... + 114481075.

It is an arithmetic number, because the mean of its divisors is an integer number (779308766880).

Almost surely, 223132202200320 is an apocalyptic number.

23132202200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132202200320 is an abundant number, since it is smaller than the sum of its proper divisors (32978029015040).

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

23132202200320 is an equidigital number, since it uses as much as digits as its factorization.

23132202200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228760011 (or 228759997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23132202200320 its reverse (2300220223132), we get a palindrome (25432422423452).

The spelling of 23132202200320 in words is "twenty-three trillion, one hundred thirty-two billion, two hundred two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 632 640 790 1264 1280 1580 2528 3160 5056 6320 10112 12640 20224 25280 50560 101120 228759911 457519822 915039644 1143799555 1830079288 2287599110 3660158576 4575198220 7320317152 9150396440 14640634304 18072032969 18300792880 29281268608 36144065938 36601585760 58562537216 72288131876 73203171520 90360164845 144576263752 146406343040 180720329690 289152527504 292812686080 361440659380 578305055008 722881318760 1156610110016 1445762637520 2313220220032 2891525275040 4626440440064 5783050550080 11566101100160 23132202200320