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211061751017 = 13531073328541
BaseRepresentation
bin1100010010010001000…
…0101011110011101001
3202011210020220212012112
43010210100223303221
511424223302013032
6240543241452105
721151210165655
oct3044420536351
9664706825175
10211061751017
1181568946497
1234aa41a1035
1316b97c87790
14a303267a65
1557546601b2
hex312442bce9

211061751017 has 16 divisors (see below), whose sum is σ = 231615589968. Its totient is φ = 191125758720.

The previous prime is 211061750983. The next prime is 211061751083. The reversal of 211061751017 is 710157160112.

It can be written as a sum of positive squares in 8 ways, for example, as 42322364176 + 168739386841 = 205724^2 + 410779^2 .

It is not a de Polignac number, because 211061751017 - 224 = 211044973801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211061751097) 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 15 ways as a sum of consecutive naturals, for example, 7380767 + ... + 7409307.

It is an arithmetic number, because the mean of its divisors is an integer number (14475974373).

Almost surely, 2211061751017 is an apocalyptic number.

It is an amenable number.

211061751017 is a deficient number, since it is larger than the sum of its proper divisors (20553838951).

211061751017 is a wasteful number, since it uses less digits than its factorization.

211061751017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39340.

The product of its (nonzero) digits is 2940, while the sum is 32.

The spelling of 211061751017 in words is "two hundred eleven billion, sixty-one million, seven hundred fifty-one thousand, seventeen".

Divisors: 1 13 53 689 10733 28541 139529 371033 568849 1512673 7395037 19664749 306330553 3982297189 16235519309 211061751017