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212512100746527 = 3259400211112517
BaseRepresentation
bin110000010100011101010100…
…010001101000010100011111
31000212102221212200121111012200
4300110131110101220110133
5210323244240242342102
62031550413351502543
762522330652005121
oct6024352421502437
91025387780544180
10212512100746527
116179296a76860a
121ba02328687a53
139176a60aa657a
143a698d798b211
151987dda11451c
hexc1475446851f

212512100746527 has 12 divisors (see below), whose sum is σ = 312164667764040. Its totient is φ = 139273467155568.

The previous prime is 212512100746499. The next prime is 212512100746537. The reversal of 212512100746527 is 725647001215212.

It is a happy number.

212512100746527 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 12 + 100 + 7 + 4 + 6 + 527 = 666.

It is not a de Polignac number, because 212512100746527 - 211 = 212512100744479 is a prime.

It is a super-2 number, since 2×2125121007465272 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212512100746537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200105555728 + ... + 200105556789.

It is an arithmetic number, because the mean of its divisors is an integer number (26013722313670).

Almost surely, 2212512100746527 is an apocalyptic number.

212512100746527 is a deficient number, since it is larger than the sum of its proper divisors (99652567017513).

212512100746527 is a wasteful number, since it uses less digits than its factorization.

212512100746527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400211112582 (or 400211112579 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 212512100746527 in words is "two hundred twelve trillion, five hundred twelve billion, one hundred million, seven hundred forty-six thousand, five hundred twenty-seven".

Divisors: 1 3 9 59 177 531 400211112517 1200633337551 3601900012653 23612455638503 70837366915509 212512100746527