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103025013 = 37132391579
BaseRepresentation
bin1100010010000…
…00100101110101
321011212012202020
412021000211311
5202333300023
614120103353
72360461320
oct611004565
9234765666
10103025013
1153178243
122a604b59
1318462660
14d97b7b7
1590a0de3
hex6240975

103025013 has 32 divisors (see below), whose sum is σ = 169881600. Its totient is φ = 54081216.

The previous prime is 103025009. The next prime is 103025017. The reversal of 103025013 is 310520301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103025009) and next prime (103025017).

It is not a de Polignac number, because 103025013 - 22 = 103025009 is a prime.

It is a super-2 number, since 2×1030250132 = 21228306607300338, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103024983 and 103025001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103025017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64458 + ... + 66036.

It is an arithmetic number, because the mean of its divisors is an integer number (5308800).

Almost surely, 2103025013 is an apocalyptic number.

103025013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103025013 is a deficient number, since it is larger than the sum of its proper divisors (66856587).

103025013 is a wasteful number, since it uses less digits than its factorization.

103025013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 103025013 is about 10150.1237923485. The cubic root of 103025013 is about 468.7927565621.

Adding to 103025013 its reverse (310520301), we get a palindrome (413545314).

The spelling of 103025013 in words is "one hundred three million, twenty-five thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 239 273 717 1579 1673 3107 4737 5019 9321 11053 20527 21749 33159 61581 65247 143689 377381 431067 1132143 2641667 4905953 7925001 14717859 34341671 103025013