Search a number
-
+
23113231100 = 22523153140677
BaseRepresentation
bin10101100001101001…
…111110101011111100
32012122210121210110022
4111201221332223330
5334313441343400
614341300431312
71445524136261
oct254151765374
965583553408
1023113231100
1198908a8693
1245906a8538
13224468610b
141193965268
15904229b85
hex561a7eafc

23113231100 has 72 divisors (see below), whose sum is σ = 52750873728. Its totient is φ = 8778182400.

The previous prime is 23113231087. The next prime is 23113231103. The reversal of 23113231100 is 113231132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23113231103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93962 + ... + 234638.

It is an arithmetic number, because the mean of its divisors is an integer number (732651024).

Almost surely, 223113231100 is an apocalyptic number.

23113231100 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 23113231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26375436864).

23113231100 is an abundant number, since it is smaller than the sum of its proper divisors (29637642628).

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

23113231100 is a wasteful number, since it uses less digits than its factorization.

23113231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140775 (or 140768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 23113231100 its reverse (113231132), we get a palindrome (23226462232).

The spelling of 23113231100 in words is "twenty-three billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1550 1643 2650 3100 3286 5300 6572 8215 16430 32860 41075 82150 140677 164300 281354 562708 703385 1406770 2813540 3516925 4360987 7033850 7455881 8721974 14067700 14911762 17443948 21804935 29823524 37279405 43609870 74558810 87219740 109024675 149117620 186397025 218049350 231132311 372794050 436098700 462264622 745588100 924529244 1155661555 2311323110 4622646220 5778307775 11556615550 23113231100