Search a number
-
+
23110333020 = 22335173247381
BaseRepresentation
bin10101100001011110…
…111011001001011100
32012122121011120001000
4111201132323021130
5334312221124040
614341114350300
71445460406125
oct254136731134
965577146030
1023110333020
11988a1a9285
12458b72b390
132243bacc88
14119340d04c
15903d56130
hex5617bb25c

23110333020 has 96 divisors (see below), whose sum is σ = 72314706240. Its totient is φ = 6127107840.

The previous prime is 23110332991. The next prime is 23110333021. The reversal of 23110333020 is 2033301132.

23110333020 is a `hidden beast` number, since 2 + 311 + 0 + 3 + 330 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23110332984 and 23110333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23110333021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30271 + ... + 217110.

It is an arithmetic number, because the mean of its divisors is an integer number (753278190).

Almost surely, 223110333020 is an apocalyptic number.

23110333020 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 23110333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36157353120).

23110333020 is an abundant number, since it is smaller than the sum of its proper divisors (49204373220).

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

23110333020 is a wasteful number, since it uses less digits than its factorization.

23110333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247572 (or 247564 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23110333020 its reverse (2033301132), we get a palindrome (25143634152).

The spelling of 23110333020 in words is "twenty-three billion, one hundred ten million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 15570 18684 23355 31140 46710 93420 247381 494762 742143 989524 1236905 1484286 2226429 2473810 2968572 3710715 4452858 4947620 6679287 7421430 8905716 11132145 13358574 14842860 22264290 26717148 33396435 42796913 44528580 66792870 85593826 128390739 133585740 171187652 213984565 256781478 385172217 427969130 513562956 641953695 770344434 855938260 1155516651 1283907390 1540688868 1925861085 2311033302 2567814780 3851722170 4622066604 5777583255 7703444340 11555166510 23110333020