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103025000 = 235513317
BaseRepresentation
bin1100010010000…
…00100101101000
321011212012201202
412021000211220
5202333300000
614120103332
72360461301
oct611004550
9234765652
10103025000
1153178231
122a604b48
1318462650
14d97b7a8
1590a0dd5
hex6240968

103025000 has 96 divisors (see below), whose sum is σ = 260842680. Its totient is φ = 37920000.

The previous prime is 103024979. The next prime is 103025009. The reversal of 103025000 is 520301.

It can be written as a sum of positive squares in 12 ways, for example, as 90592324 + 12432676 = 9518^2 + 3526^2 .

It is a super-2 number, since 2×1030250002 = 21228301250000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103025009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324842 + ... + 325158.

Almost surely, 2103025000 is an apocalyptic number.

103025000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130421340).

103025000 is an abundant number, since it is smaller than the sum of its proper divisors (157817680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103025000 is an equidigital number, since it uses as much as digits as its factorization.

103025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 103025000 is about 10150.1231519622. The cubic root of 103025000 is about 468.7927368442.

Adding to 103025000 its reverse (520301), we get a palindrome (103545301).

It can be divided in two parts, 10 and 3025000, that multiplied together give a square (30250000 = 55002).

The spelling of 103025000 in words is "one hundred three million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 317 325 500 520 625 634 650 1000 1250 1268 1300 1585 1625 2500 2536 2600 3125 3170 3250 4121 5000 6250 6340 6500 7925 8125 8242 12500 12680 13000 15850 16250 16484 20605 25000 31700 32500 32968 39625 40625 41210 63400 65000 79250 81250 82420 103025 158500 162500 164840 198125 206050 317000 325000 396250 412100 515125 792500 824200 990625 1030250 1585000 1981250 2060500 2575625 3962500 4121000 5151250 7925000 10302500 12878125 20605000 25756250 51512500 103025000