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16110971041 = 11410492
BaseRepresentation
bin11110000000100100…
…11110100010100001
31112120210122010110011
433000102132202201
5230443402033131
611222402004521
71110146665024
oct170022364241
945523563404
1016110971041
116918250000
123157646741
131699a6b579
14acb9bb1bb
156446160b1
hex3c049e8a1

16110971041 has 15 divisors (see below), whose sum is σ = 17738868355. Its totient is φ = 14632375120.

The previous prime is 16110971029. The next prime is 16110971053. The reversal of 16110971041 is 14017901161.

The square root of 16110971041 is 126929.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (16110971029) and next prime (16110971053).

It can be written as a sum of positive squares in only one way, i.e., 14611732641 + 1499238400 = 120879^2 + 38720^2 .

It is not a de Polignac number, because 16110971041 - 27 = 16110970913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16110970994 and 16110971012.

It is not an unprimeable number, because it can be changed into a prime (16110971011) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15357885 + ... + 15358933.

Almost surely, 216110971041 is an apocalyptic number.

16110971041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16110971041 is the 126929-th square number.

16110971041 is the 63465-th centered octagonal number.

It is an amenable number.

16110971041 is a deficient number, since it is larger than the sum of its proper divisors (1627897314).

16110971041 is an frugal number, since it uses more digits than its factorization.

16110971041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 16110971041 in words is "sixteen billion, one hundred ten million, nine hundred seventy-one thousand, forty-one".

Divisors: 1 11 121 1049 1331 11539 14641 126929 1100401 1396219 12104411 15358409 133148521 1464633731 16110971041