Search a number
-
+
23133004142320 = 2451812251170969
BaseRepresentation
bin1010100001010000100100…
…11111101001011011110000
310000220111022211111021021001
411100220102133221123300
511013002343030023240
6121111053322011344
74605206256600532
oct520502237513360
9100814284437231
1023133004142320
117409719842496
1227173b8346b54
13cba5821c0267
1459d9015c3852
152a1b2104e89a
hex150a127e96f0

23133004142320 has 80 divisors (see below), whose sum is σ = 54084549617280. Its totient is φ = 9201540556800.

The previous prime is 23133004142221. The next prime is 23133004142341. The reversal of 23133004142320 is 2324140033132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325923796 + ... + 325994764.

It is an arithmetic number, because the mean of its divisors is an integer number (676056870216).

Almost surely, 223133004142320 is an apocalyptic number.

23133004142320 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 23133004142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042274808640).

23133004142320 is an abundant number, since it is smaller than the sum of its proper divisors (30951545474960).

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

23133004142320 is a wasteful number, since it uses less digits than its factorization.

23133004142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93674 (or 93668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 23133004142320 its reverse (2324140033132), we get a palindrome (25457144175452).

The spelling of 23133004142320 in words is "twenty-three trillion, one hundred thirty-three billion, four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 22511 45022 70969 90044 112555 141938 180088 225110 283876 354845 360176 450220 567752 709690 900440 1135504 1419380 1800880 2838760 4074491 5677520 8148982 12845389 16297964 20372455 25690778 32595928 40744910 51381556 64226945 65191856 81489820 102763112 128453890 162979640 205526224 256907780 325959280 513815560 1027631120 1597583159 3195166318 6390332636 7987915795 12780665272 15975831590 25561330544 31951663180 63903326360 127806652720 289162551779 578325103558 1156650207116 1445812758895 2313300414232 2891625517790 4626600828464 5783251035580 11566502071160 23133004142320