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103655022025 = 5219233892
BaseRepresentation
bin110000010001001010…
…0100001110111001001
3100220112220012200212211
41200202110201313021
53144241141201100
6115341330505121
710326445102252
oct1404224416711
9326486180784
10103655022025
113aa61615265
1218109a351a1
139a0bb15a79
145034653b29
152a6a0691ba
hex1822521dc9

103655022025 has 27 divisors (see below), whose sum is σ = 135693165621. Its totient is φ = 78536414880.

The previous prime is 103655022007. The next prime is 103655022083. The reversal of 103655022025 is 520220556301.

It is a happy number.

The square root of 103655022025 is 321955.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21387015049 + 82268006976 = 146243^2 + 286824^2 .

It is not a de Polignac number, because 103655022025 - 25 = 103655021993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30584031 + ... + 30587419.

Almost surely, 2103655022025 is an apocalyptic number.

103655022025 is the 321955-th square number.

103655022025 is the 160978-th centered octagonal number.

It is an amenable number.

103655022025 is a deficient number, since it is larger than the sum of its proper divisors (32038143596).

103655022025 is an frugal number, since it uses more digits than its factorization.

103655022025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 103655022025 its reverse (520220556301), we get a palindrome (623875578326).

The spelling of 103655022025 in words is "one hundred three billion, six hundred fifty-five million, twenty-two thousand, twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 3389 9025 16945 64391 84725 321955 1223429 1609775 6117145 11485321 30585725 57426605 218221099 287133025 1091105495 4146200881 5455527475 20731004405 103655022025