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3152112513 = 3114153113389
BaseRepresentation
bin1011101111100001…
…0110101110000001
322010200020220110220
42323320112232001
522423420100023
61240440413253
7141053341254
oct27370265601
98120226426
103152112513
111378315870
1273b777229
133b3072b44
1421c8c109b
15136ade3e3
hexbbe16b81

3152112513 has 64 divisors (see below), whose sum is σ = 4840093440. Its totient is φ = 1807769600.

The previous prime is 3152112499. The next prime is 3152112517.

3152112513 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3152112513 - 218 = 3151850369 is a prime.

It is a super-2 number, since 2×31521125132 = 19871626589222350338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3152112517) 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 63 ways as a sum of consecutive naturals, for example, 8102923 + ... + 8103311.

It is an arithmetic number, because the mean of its divisors is an integer number (75626460).

Almost surely, 23152112513 is an apocalyptic number.

3152112513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3152112513 is a deficient number, since it is larger than the sum of its proper divisors (1687980927).

3152112513 is a wasteful number, since it uses less digits than its factorization.

3152112513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its digits is 900, while the sum is 24.

The square root of 3152112513 is about 56143.6774089478. The cubic root of 3152112513 is about 1466.2248316196.

The spelling of 3152112513 in words is "three billion, one hundred fifty-two million, one hundred twelve thousand, five hundred thirteen".

Divisors: 1 3 11 33 41 53 113 123 159 339 389 451 583 1167 1243 1353 1749 2173 3729 4279 4633 5989 6519 12837 13899 15949 17967 20617 23903 43957 47847 50963 61851 65879 71709 131871 152889 175439 197637 226787 245549 483527 526317 680361 736647 845297 1450581 1802237 2329721 2535891 2701039 5406711 6989163 8103117 9298267 19824607 25626931 27894801 59473821 76880793 95518561 286555683 1050704171 3152112513