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23202432141 = 3719151385109
BaseRepresentation
bin10101100110111110…
…010000010010001101
32012220000110200021120
4111212332100102031
5340004310312031
614354204351153
71450656263520
oct254676202215
965800420246
1023202432141
119927193759
1245b65454b9
132259cb84b5
1411a1744bb7
1590be99a96
hex566f9048d

23202432141 has 32 divisors (see below), whose sum is σ = 37463500800. Its totient is φ = 12477499200.

The previous prime is 23202432091. The next prime is 23202432283. The reversal of 23202432141 is 14123420232.

It is a happy number.

It is not a de Polignac number, because 23202432141 - 213 = 23202423949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23202433141) 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 31 ways as a sum of consecutive naturals, for example, 132306 + ... + 252803.

It is an arithmetic number, because the mean of its divisors is an integer number (1170734400).

Almost surely, 223202432141 is an apocalyptic number.

23202432141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23202432141 is a deficient number, since it is larger than the sum of its proper divisors (14261068659).

23202432141 is a wasteful number, since it uses less digits than its factorization.

23202432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385289.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23202432141 its reverse (14123420232), we get a palindrome (37325852373).

The spelling of 23202432141 in words is "twenty-three billion, two hundred two million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 7 19 21 57 133 151 399 453 1057 2869 3171 8607 20083 60249 385109 1155327 2695763 7317071 8087289 21951213 51219497 58151459 153658491 174454377 407060213 1104877721 1221180639 3314633163 7734144047 23202432141