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20751126201 = 3213227749253
BaseRepresentation
bin10011010100110111…
…010000111010111001
31222120011220102200200
4103110313100322321
5314444242014301
613311040352413
71333142443131
oct232467207271
958504812620
1020751126201
118889519283
124031615709
131c591a7c00
14100bd6bac1
15816b8bc86
hex4d4dd0eb9

20751126201 has 36 divisors (see below), whose sum is σ = 32574723948. Its totient is φ = 12723564672.

The previous prime is 20751126191. The next prime is 20751126251. The reversal of 20751126201 is 10262115702.

20751126201 is a `hidden beast` number, since 20 + 7 + 5 + 1 + 12 + 620 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10383813801 + 10367312400 = 101901^2 + 101820^2 .

It is not a de Polignac number, because 20751126201 - 211 = 20751124153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20751126251) 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 35 ways as a sum of consecutive naturals, for example, 396691 + ... + 445943.

It is an arithmetic number, because the mean of its divisors is an integer number (904853443).

Almost surely, 220751126201 is an apocalyptic number.

It is an amenable number.

20751126201 is a deficient number, since it is larger than the sum of its proper divisors (11823597747).

20751126201 is a wasteful number, since it uses less digits than its factorization.

20751126201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49562 (or 49546 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 20751126201 in words is "twenty billion, seven hundred fifty-one million, one hundred twenty-six thousand, two hundred one".

Divisors: 1 3 9 13 39 117 169 277 507 831 1521 2493 3601 10803 32409 46813 49253 140439 147759 421317 443277 640289 1920867 5762601 8323757 13643081 24971271 40929243 74913813 122787729 177360053 532080159 1596240477 2305680689 6917042067 20751126201