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103203361125 = 3253421217901
BaseRepresentation
bin110000000011101100…
…1100101000101100101
3100212101102022221121100
41200013121211011211
53142330030024000
6115224434110313
710312322044524
oct1400731450545
9325342287540
10103203361125
113a84a674797
121800271b399
1399693870b7
144dd06824bb
152a4059da00
hex1807665165

103203361125 has 48 divisors (see below), whose sum is σ = 186484018032. Its totient is φ = 54910800000.

The previous prime is 103203361117. The next prime is 103203361141. The reversal of 103203361125 is 521163302301.

103203361125 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 3 + 3 + 611 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 95677625124 + 7525736001 = 309318^2 + 86751^2 .

It is not a de Polignac number, because 103203361125 - 23 = 103203361117 is a prime.

It is a super-2 number, since 2×1032033611252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364675 + ... + 582575.

It is an arithmetic number, because the mean of its divisors is an integer number (3885083709).

Almost surely, 2103203361125 is an apocalyptic number.

103203361125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103203361125 is a deficient number, since it is larger than the sum of its proper divisors (83280656907).

103203361125 is a wasteful number, since it uses less digits than its factorization.

103203361125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218343 (or 218330 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 103203361125 its reverse (521163302301), we get a palindrome (624366663426).

The spelling of 103203361125 in words is "one hundred three billion, two hundred three million, three hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 421 1125 1263 2105 3789 6315 10525 18945 31575 52625 94725 157875 217901 473625 653703 1089505 1961109 3268515 5447525 9805545 16342575 27237625 49027725 81712875 91736321 245138625 275208963 458681605 825626889 1376044815 2293408025 4128134445 6880224075 11467040125 20640672225 34401120375 103203361125