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202411411230 = 235719219913417
BaseRepresentation
bin1011110010000010101…
…0010000011100011110
3201100110101210001211110
42330200222100130132
511304014310124410
6232553031002450
720423641415310
oct2744052203436
9640411701743
10202411411230
1178929a68146
123328b209426
1316119aa1b22
149b224717b0
1553ea001720
hex2f20a9071e

202411411230 has 192 divisors, whose sum is σ = 588932121600. Its totient is φ = 43606937088.

The previous prime is 202411411229. The next prime is 202411411231. The reversal of 202411411230 is 32114114202.

It is an interprime number because it is at equal distance from previous prime (202411411229) and next prime (202411411231).

It is a super-2 number, since 2×2024114112302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202411411197 and 202411411206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202411411231) 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 95 ways as a sum of consecutive naturals, for example, 15079482 + ... + 15092898.

It is an arithmetic number, because the mean of its divisors is an integer number (3067354800).

Almost surely, 2202411411230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202411411230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294466060800).

202411411230 is an abundant number, since it is smaller than the sum of its proper divisors (386520710370).

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

202411411230 is a wasteful number, since it uses less digits than its factorization.

202411411230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 202411411230 its reverse (32114114202), we get a palindrome (234525525432).

The spelling of 202411411230 in words is "two hundred two billion, four hundred eleven million, four hundred eleven thousand, two hundred thirty".