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3152120031 = 322324389173
BaseRepresentation
bin1011101111100001…
…1000100011011111
322010200021021210100
42323320120203133
522423420320111
61240440512143
7141053402214
oct27370304337
98120237710
103152120031
111378320485
1273b77b653
133b30763a8
1421c8c3b0b
15136ae1756
hexbbe188df

3152120031 has 72 divisors (see below), whose sum is σ = 4953508560. Its totient is φ = 1930021632.

The previous prime is 3152119913. The next prime is 3152120033. The reversal of 3152120031 is 1300212513.

It is not a de Polignac number, because 3152120031 - 27 = 3152119903 is a prime.

It is a super-2 number, since 2×31521200312 = 19871721379662881922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3152119986 and 3152120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3152120033) 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 71 ways as a sum of consecutive naturals, for example, 18220261 + ... + 18220433.

It is an arithmetic number, because the mean of its divisors is an integer number (68798730).

Almost surely, 23152120031 is an apocalyptic number.

3152120031 is a deficient number, since it is larger than the sum of its proper divisors (1801388529).

3152120031 is a wasteful number, since it uses less digits than its factorization.

3152120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3152120031 is about 56143.7443621282. The cubic root of 3152120031 is about 1466.2259973003.

Adding to 3152120031 its reverse (1300212513), we get a palindrome (4452332544).

The spelling of 3152120031 in words is "three billion, one hundred fifty-two million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 23 43 69 89 129 173 207 267 387 519 529 801 989 1557 1587 2047 2967 3827 3979 4761 6141 7439 8901 11481 11937 15397 18423 22317 22747 34443 35811 46191 47081 66951 68241 88021 91517 138573 141243 171097 204723 264063 274551 354131 423729 513291 662071 792189 823653 1062393 1539873 1986213 2024483 3187179 3935231 5958639 6073449 8145013 11805693 15227633 18220347 24435039 35417079 45682899 73305117 137048697 350235559 1050706677 3152120031