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101916369 = 3211324041
BaseRepresentation
bin1100001001100…
…01111011010001
321002202212222100
412010301323101
5202042310434
614040231013
72345163162
oct604617321
9232685870
10101916369
1152590305
122a16b469
1318164b59
14d76d769
158e32699
hex6131ed1

101916369 has 6 divisors (see below), whose sum is σ = 147212546. Its totient is φ = 67944240.

The previous prime is 101916359. The next prime is 101916371. The reversal of 101916369 is 963619101.

101916369 is a `hidden beast` number, since 1 + 0 + 19 + 1 + 636 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 50936769 = 7140^2 + 7137^2 .

It is a de Polignac number, because none of the positive numbers 2k-101916369 is a prime.

It is a super-2 number, since 2×1019163692 = 20773892540288322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101916319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5662012 + ... + 5662029.

Almost surely, 2101916369 is an apocalyptic number.

It is an amenable number.

101916369 is a deficient number, since it is larger than the sum of its proper divisors (45296177).

101916369 is a wasteful number, since it uses less digits than its factorization.

101916369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324047 (or 11324044 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 101916369 is about 10095.3637378749. The cubic root of 101916369 is about 467.1051413432.

The spelling of 101916369 in words is "one hundred one million, nine hundred sixteen thousand, three hundred sixty-nine".

Divisors: 1 3 9 11324041 33972123 101916369