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21190916041 = 17285632
BaseRepresentation
bin10011101111000100…
…111011011111001001
32000200211110001221021
4103233010323133021
5321344333303131
613422430512441
71350062546221
oct235704733711
960624401837
1021190916041
118a947a0959
124134965721
131cc933b499
14105052d081
158405aee11
hex4ef13b7c9

21190916041 has 9 divisors (see below), whose sum is σ = 22513394631. Its totient is φ = 19942062432.

The previous prime is 21190916023. The next prime is 21190916059. The reversal of 21190916041 is 14061909112.

The square root of 21190916041 is 145571.

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 (21190916023) and next prime (21190916059).

It can be written as a sum of positive squares in only one way, i.e., 16498118025 + 4692798016 = 128445^2 + 68504^2 .

It is not a de Polignac number, because 21190916041 - 27 = 21190915913 is a prime.

It is a super-2 number, since 2×211909160412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21190915988 and 21190916006.

It is not an unprimeable number, because it can be changed into a prime (21190986041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2470426 + ... + 2478988.

Almost surely, 221190916041 is an apocalyptic number.

21190916041 is the 145571-st square number.

21190916041 is the 72786-th centered octagonal number.

It is an amenable number.

21190916041 is a deficient number, since it is larger than the sum of its proper divisors (1322478590).

21190916041 is an frugal number, since it uses more digits than its factorization.

21190916041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 21190916041 in words is "twenty-one billion, one hundred ninety million, nine hundred sixteen thousand, forty-one".

Divisors: 1 17 289 8563 145571 2474707 73324969 1246524473 21190916041