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103481239225 = 52741321012
BaseRepresentation
bin110000001011111110…
…1100110011010111001
3100220002210012121200211
41200113331212122321
53143412144123400
6115312202031121
710322235010000
oct1402775463271
9326083177624
10103481239225
113a982509711
121807b7a84a1
1399b1b0aa00
145019537c37
152a59b8cdba
hex1817f666b9

103481239225 has 135 divisors (see below), whose sum is σ = 163715422119. Its totient is φ = 64851696000.

The previous prime is 103481239181. The next prime is 103481239243. The reversal of 103481239225 is 522932184301.

The square root of 103481239225 is 321685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 46209091369 + 57272147856 = 214963^2 + 239316^2 .

It is not a de Polignac number, because 103481239225 - 211 = 103481237177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1024566675 + ... + 1024566775.

Almost surely, 2103481239225 is an apocalyptic number.

103481239225 is the 321685-th square number.

103481239225 is the 160843-rd centered octagonal number.

It is an amenable number.

103481239225 is a deficient number, since it is larger than the sum of its proper divisors (60234182894).

103481239225 is an frugal number, since it uses more digits than its factorization.

103481239225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 103481239225 in words is "one hundred three billion, four hundred eighty-one million, two hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 101 169 175 245 325 343 455 505 637 707 845 1183 1225 1313 1715 2275 2401 2525 3185 3535 4225 4459 4949 5915 6565 8281 8575 9191 10201 12005 15925 17069 17675 22295 24745 29575 31213 32825 34643 41405 45955 51005 57967 60025 64337 71407 85345 111475 119483 123725 132613 156065 173215 207025 229775 242501 255025 289835 321685 357035 405769 426725 450359 499849 597415 663065 780325 836381 866075 928291 1212505 1449175 1608425 1723969 1785175 2028845 2251795 2499245 2987075 3152513 3315325 3498943 4181905 4641455 5854667 6062525 6498037 8619845 10144225 11258975 12067783 12496225 15762565 17494715 20909525 23207275 24492601 29273335 32490185 40982669 43099225 45486259 60338915 78812825 84474481 87473575 122463005 146366675 162450925 204913345 227431295 301694575 318403813 422372405 591321367 612315025 1024566725 1137156475 1592019065 2111862025 2956606835 4139249569 7960095325 14783034175 20696247845 103481239225