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103335240025 = 52371091377481
BaseRepresentation
bin110000000111101000…
…0101010000101011001
3100212201121111002110001
41200033100222011121
53143112310140100
6115245504453001
710315513022233
oct1401720520531
9325647432401
10103335240025
113a90805a316
121803a91a161
13998a7acb54
145003db1253
152a4be4dd6a
hex180f42a159

103335240025 has 48 divisors (see below), whose sum is σ = 133793423280. Its totient is φ = 79103692800.

The previous prime is 103335239999. The next prime is 103335240097. The reversal of 103335240025 is 520042533301.

It can be written as a sum of positive squares in 24 ways, for example, as 12012817609 + 91322422416 = 109603^2 + 302196^2 .

It is not a de Polignac number, because 103335240025 - 227 = 103201022297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103335239975 and 103335240002.

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, 13809285 + ... + 13816765.

It is an arithmetic number, because the mean of its divisors is an integer number (2787362985).

Almost surely, 2103335240025 is an apocalyptic number.

It is an amenable number.

103335240025 is a deficient number, since it is larger than the sum of its proper divisors (30458183255).

103335240025 is a wasteful number, since it uses less digits than its factorization.

103335240025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 103335240025 its reverse (520042533301), we get a palindrome (623377773326).

The spelling of 103335240025 in words is "one hundred three billion, three hundred thirty-five million, two hundred forty thousand, twenty-five".

Divisors: 1 5 25 37 109 137 185 545 685 925 2725 3425 4033 5069 7481 14933 20165 25345 37405 74665 100825 126725 187025 276797 373325 552521 815429 1024897 1383985 2762605 4077145 5124485 6919925 13813025 20385725 25622425 30170873 37921189 111713773 150854365 189605945 558568865 754271825 948029725 2792844325 4133409601 20667048005 103335240025