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4128187131 = 3223414011213
BaseRepresentation
bin1111011000001111…
…0010001011111011
3101122200220122010200
43312003302023323
531423303442011
61521345213243
7204205003665
oct36603621373
911580818120
104128187131
111829288102
12972631223
1350a353ca3
142b23a1535
15192646856
hexf60f22fb

4128187131 has 48 divisors (see below), whose sum is σ = 6395118912. Its totient is φ = 2559744000.

The previous prime is 4128187123. The next prime is 4128187153. The reversal of 4128187131 is 1317818214.

It is not a de Polignac number, because 4128187131 - 23 = 4128187123 is a prime.

It is a super-2 number, since 2×41281871312 = 34083857977108022322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4128187121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402681 + ... + 3403893.

It is an arithmetic number, because the mean of its divisors is an integer number (133231644).

Almost surely, 24128187131 is an apocalyptic number.

4128187131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4128187131 is a deficient number, since it is larger than the sum of its proper divisors (2266931781).

4128187131 is a wasteful number, since it uses less digits than its factorization.

4128187131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1681 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 4128187131 is about 64250.9698837302. The cubic root of 4128187131 is about 1604.1801023869.

The spelling of 4128187131 in words is "four billion, one hundred twenty-eight million, one hundred eighty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 23 41 69 123 207 369 401 943 1203 1213 2829 3609 3639 8487 9223 10917 16441 27669 27899 49323 49733 83007 83697 147969 149199 251091 378143 447597 486413 1134429 1143859 1459239 3403287 3431577 4377717 10294731 11187499 19942933 33562497 59828799 100687491 179486397 458687459 1376062377 4128187131