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10212571465 = 537173319093
BaseRepresentation
bin10011000001011011…
…10111100101001001
3222100201202101100121
421200231313211021
5131403404241330
64405214503241
7511035265555
oct114055674511
928321671317
1010212571465
114370804108
121b90204b21
13c69a568c5
146cc498865
153eb89c17a
hex260b77949

10212571465 has 16 divisors (see below), whose sum is σ = 12659097168. Its totient is φ = 7903270656.

The previous prime is 10212571427. The next prime is 10212571471. The reversal of 10212571465 is 56417521201.

10212571465 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4120612864 + 6091958601 = 64192^2 + 78051^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212571465 - 219 = 10212047177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10212571465.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 127542 + ... + 191551.

It is an arithmetic number, because the mean of its divisors is an integer number (791193573).

Almost surely, 210212571465 is an apocalyptic number.

It is an amenable number.

10212571465 is a deficient number, since it is larger than the sum of its proper divisors (2446525703).

10212571465 is a wasteful number, since it uses less digits than its factorization.

10212571465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319308.

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10212571465 in words is "ten billion, two hundred twelve million, five hundred seventy-one thousand, four hundred sixty-five".

Divisors: 1 5 37 173 185 865 6401 32005 319093 1595465 11806441 55203089 59032205 276015445 2042514293 10212571465