Search a number
-
+
4223100001320 = 2333516724197157
BaseRepresentation
bin111101011101000100011…
…000000001110000101000
3112221201120002201001001000
4331131010120001300220
51023142402100020240
612552022041155000
7614052232505544
oct75350430016050
915851502631030
104223100001320
111389008944752
1258256b78ba60
1324830cb1b035
14108583300a24
1574cbc3e4430
hex3d744601c28

4223100001320 has 256 divisors, whose sum is σ = 14220200332800. Its totient is φ = 1114760171520.

The previous prime is 4223100001303. The next prime is 4223100001381. The reversal of 4223100001320 is 231000013224.

It is a super-2 number, since 2×42231000013202 (a number of 26 digits) contains 22 as substring.

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 = 4223100001293 and 4223100001302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43418182 + ... + 43515338.

It is an arithmetic number, because the mean of its divisors is an integer number (55547657550).

Almost surely, 24223100001320 is an apocalyptic number.

4223100001320 is a gapful number since it is divisible by the number (40) 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 4223100001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110100166400).

4223100001320 is an abundant number, since it is smaller than the sum of its proper divisors (9997100331480).

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

4223100001320 is a wasteful number, since it uses less digits than its factorization.

4223100001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97585 (or 97575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4223100001320 its reverse (231000013224), we get a palindrome (4454100014544).

The spelling of 4223100001320 in words is "four trillion, two hundred twenty-three billion, one hundred million, one thousand, three hundred twenty".