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23311001220 = 223513377391093
BaseRepresentation
bin10101101101011100…
…011010011010000100
32020011120202120001120
4111231130122122010
5340220104014340
614413043353540
71453445145453
oct255534323204
966146676046
1023311001220
1199824a8271
1246269828b0
13227663c460
1411b1d26b9a
159167934d0
hex56d71a684

23311001220 has 192 divisors, whose sum is σ = 72355234560. Its totient is φ = 5570353152.

The previous prime is 23311001213. The next prime is 23311001227. The reversal of 23311001220 is 2210011332.

It is an interprime number because it is at equal distance from previous prime (23311001213) and next prime (23311001227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23311001220.

It is not an unprimeable number, because it can be changed into a prime (23311001227) by changing a digit.

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, 21326994 + ... + 21328086.

It is an arithmetic number, because the mean of its divisors is an integer number (376850180).

Almost surely, 223311001220 is an apocalyptic number.

23311001220 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 23311001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36177617280).

23311001220 is an abundant number, since it is smaller than the sum of its proper divisors (49044233340).

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

23311001220 is a wasteful number, since it uses less digits than its factorization.

23311001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23311001220 its reverse (2210011332), we get a palindrome (25521012552).

The spelling of 23311001220 in words is "twenty-three billion, three hundred eleven million, one thousand, two hundred twenty".