Search a number
-
+
23201120320 = 265710357643
BaseRepresentation
bin10101100110111001…
…010000000001000000
32012212221000000210121
4111212321100001000
5340003441322240
614354120310024
71450642161130
oct254671200100
965787000717
1023201120320
119926478104
1245b6012314
132259949381
1411a14c2ac0
1590bcdb04a
hex566e50040

23201120320 has 56 divisors (see below), whose sum is σ = 63140197824. Its totient is φ = 7954669056.

The previous prime is 23201120309. The next prime is 23201120329. The reversal of 23201120320 is 2302110232.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23201120294 and 23201120303.

It is not an unprimeable number, because it can be changed into a prime (23201120329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5176582 + ... + 5181061.

Almost surely, 223201120320 is an apocalyptic number.

23201120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23201120320 is an abundant number, since it is smaller than the sum of its proper divisors (39939077504).

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

23201120320 is a wasteful number, since it uses less digits than its factorization.

23201120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357667 (or 10357657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23201120320 its reverse (2302110232), we get a palindrome (25503230552).

The spelling of 23201120320 in words is "twenty-three billion, two hundred one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 10357643 20715286 41430572 51788215 72503501 82861144 103576430 145007002 165722288 207152860 290014004 331444576 362517505 414305720 580028008 662889152 725035010 828611440 1160056016 1450070020 1657222880 2320112032 2900140040 3314445760 4640224064 5800280080 11600560160 23201120320