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20100150625 = 545321072
BaseRepresentation
bin10010101110000011…
…111111010101100001
31220212210222110002011
4102232003333111201
5312131114310000
613122303552521
71311046314142
oct225603772541
956783873064
1020100150625
118585013735
123a8b5bb741
131b84371b69
14d89715ac9
157c99502ba
hex4ae0ff561

20100150625 has 45 divisors (see below), whose sum is σ = 25841486671. Its totient is φ = 15629276000.

The previous prime is 20100150611. The next prime is 20100150649. The reversal of 20100150625 is 52605100102.

The square root of 20100150625 is 141775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11153260881 + 8946889744 = 105609^2 + 94588^2 .

It is not a de Polignac number, because 20100150625 - 223 = 20091762017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100150596 and 20100150605.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 187851822 + ... + 187851928.

Almost surely, 220100150625 is an apocalyptic number.

20100150625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20100150625 is the 141775-th square number.

20100150625 is the 70888-th centered octagonal number.

It is an amenable number.

20100150625 is a deficient number, since it is larger than the sum of its proper divisors (5741336046).

20100150625 is an frugal number, since it uses more digits than its factorization.

20100150625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 20100150625 its reverse (52605100102), we get a palindrome (72705250727).

The spelling of 20100150625 in words is "twenty billion, one hundred million, one hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 53 107 125 265 535 625 1325 2675 2809 5671 6625 11449 13375 14045 28355 33125 57245 66875 70225 141775 286225 300563 351125 606797 708875 1431125 1502815 1755625 3033985 3544375 7155625 7514075 15169925 32160241 37570375 75849625 160801205 187851875 379248125 804006025 4020030125 20100150625