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13000103025 = 352731338873
BaseRepresentation
bin11000001101101110…
…11101010001110001
31020112222222122210020
430012313131101301
5203111011244100
65545553154053
7640104024000
oct140667352161
936488878706
1013000103025
1155712458a8
12262985b929
1312c2409870
148b4794c37
155114725a0
hex306ddd471

13000103025 has 96 divisors (see below), whose sum is σ = 26994105600. Its totient is φ = 5485616640.

The previous prime is 13000103021. The next prime is 13000103027. The reversal of 13000103025 is 52030100031.

It is a happy number.

It is not a de Polignac number, because 13000103025 - 22 = 13000103021 is a prime.

It is a super-2 number, since 2×130001030252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13000102995 and 13000103013.

It is not an unprimeable number, because it can be changed into a prime (13000103021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314989 + ... + 353861.

It is an arithmetic number, because the mean of its divisors is an integer number (281188600).

Almost surely, 213000103025 is an apocalyptic number.

13000103025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13000103025 is an abundant number, since it is smaller than the sum of its proper divisors (13994002575).

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

13000103025 is a wasteful number, since it uses less digits than its factorization.

13000103025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38920 (or 38901 counting only the distinct ones).

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

Adding to 13000103025 its reverse (52030100031), we get a palindrome (65030203056).

The spelling of 13000103025 in words is "thirteen billion, one hundred three thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 343 455 525 637 735 975 1029 1225 1365 1715 1911 2275 3185 3675 4459 5145 6825 8575 9555 13377 15925 22295 25725 38873 47775 66885 111475 116619 194365 272111 334425 505349 583095 816333 971825 1360555 1516047 1904777 2526745 2915475 3537443 4081665 5714331 6802775 7580235 9523885 10612329 12633725 13333439 17687215 20408325 24762101 28571655 37901175 40000317 47619425 53061645 66667195 74286303 88436075 123810505 142858275 173334707 200001585 265308225 333335975 371431515 520004121 619052525 866673535 1000007925 1857157575 2600020605 4333367675 13000103025