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20200232112 = 24329107135623
BaseRepresentation
bin10010110100000001…
…110001010010110000
31221010210022010001220
4102310001301102300
5312332224411422
613140241025040
71313403065664
oct226401612260
957123263056
1020200232112
118626560405
123ab9025180
131b9c013788
14d98b288a4
157d361de5c
hex4b40714b0

20200232112 has 80 divisors (see below), whose sum is σ = 54488298240. Its totient is φ = 6440417536.

The previous prime is 20200232089. The next prime is 20200232119. The reversal of 20200232112 is 21123200202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20200232091 and 20200232100.

It is not an unprimeable number, because it can be changed into a prime (20200232119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81133 + ... + 216755.

It is an arithmetic number, because the mean of its divisors is an integer number (681103728).

Almost surely, 220200232112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244149120).

20200232112 is an abundant number, since it is smaller than the sum of its proper divisors (34288066128).

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

20200232112 is a wasteful number, since it uses less digits than its factorization.

20200232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135770 (or 135764 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20200232112 its reverse (21123200202), we get a palindrome (41323432314).

The spelling of 20200232112 in words is "twenty billion, two hundred million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1712 2568 3103 5136 6206 9309 12412 18618 24824 37236 49648 74472 135623 148944 271246 406869 542492 813738 1084984 1627476 2169968 3254952 3933067 6509904 7866134 11799201 14511661 15732268 23598402 29023322 31464536 43534983 47196804 58046644 62929072 87069966 94393608 116093288 174139932 188787216 232186576 348279864 420838169 696559728 841676338 1262514507 1683352676 2525029014 3366705352 5050058028 6733410704 10100116056 20200232112