Search a number
-
+
23001102300 = 22352117519281
BaseRepresentation
bin10101011010111110…
…001111011111011100
32012100222122001122210
4111122332033133130
5334101240233200
614322213240420
71442663100201
oct253276173734
965328561583
1023001102300
119833582660
12455b033110
132227386b07
141182ad7ca8
158e947b650
hex55af8f7dc

23001102300 has 144 divisors (see below), whose sum is σ = 72704346624. Its totient is φ = 5568000000.

The previous prime is 23001102263. The next prime is 23001102301. The reversal of 23001102300 is 320110032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001102301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2473660 + ... + 2482940.

It is an arithmetic number, because the mean of its divisors is an integer number (504891296).

Almost surely, 223001102300 is an apocalyptic number.

23001102300 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 23001102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352173312).

23001102300 is an abundant number, since it is smaller than the sum of its proper divisors (49703244324).

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

23001102300 is a wasteful number, since it uses less digits than its factorization.

23001102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23001102300 its reverse (320110032), we get a palindrome (23321212332).

The spelling of 23001102300 in words is "twenty-three billion, one million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 751 825 1100 1502 1650 2253 3004 3300 3755 4506 7510 8261 9012 9281 11265 15020 16522 18562 18775 22530 24783 27843 33044 37124 37550 41305 45060 46405 49566 55686 56325 75100 82610 92810 99132 102091 111372 112650 123915 139215 165220 185620 204182 206525 225300 232025 247830 278430 306273 408364 413050 464050 495660 510455 556860 612546 619575 696075 826100 928100 1020910 1225092 1239150 1392150 1531365 2041820 2478300 2552275 2784300 3062730 5104550 6125460 6970031 7656825 10209100 13940062 15313650 20910093 27880124 30627300 34850155 41820186 69700310 76670341 83640372 104550465 139400620 153340682 174250775 209100930 230011023 306681364 348501550 383351705 418201860 460022046 522752325 697003100 766703410 920044092 1045504650 1150055115 1533406820 1916758525 2091009300 2300110230 3833517050 4600220460 5750275575 7667034100 11500551150 23001102300