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230103104 = 2671153881
BaseRepresentation
bin11011011011100…
…01100001000000
3121000222110010012
431231301201000
5432401244404
634455524052
75462562350
oct1555614100
9530873105
10230103104
11108983960
1265089628
13388971aa
14227bab60
1515303a6e
hexdb71840

230103104 has 112 divisors (see below), whose sum is σ = 580680576. Its totient is φ = 87859200.

The previous prime is 230103101. The next prime is 230103161. The reversal of 230103104 is 401301032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (230103101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260744 + ... + 261624.

It is an arithmetic number, because the mean of its divisors is an integer number (5184648).

Almost surely, 2230103104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290340288).

230103104 is an abundant number, since it is smaller than the sum of its proper divisors (350577472).

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

230103104 is a wasteful number, since it uses less digits than its factorization.

230103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 230103104 is about 15169.1497454538. The cubic root of 230103104 is about 612.7841060988.

Adding to 230103104 its reverse (401301032), we get a palindrome (631404136).

The spelling of 230103104 in words is "two hundred thirty million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 154 176 212 224 308 352 371 424 448 583 616 704 742 848 881 1166 1232 1484 1696 1762 2332 2464 2968 3392 3524 4081 4664 4928 5936 6167 7048 8162 9328 9691 11872 12334 14096 16324 18656 19382 23744 24668 28192 32648 37312 38764 46693 49336 56384 65296 67837 77528 93386 98672 130592 135674 155056 186772 197344 261184 271348 310112 326851 373544 394688 513623 542696 620224 653702 747088 1027246 1085392 1307404 1494176 2054492 2170784 2614808 2988352 3595361 4108984 4341568 5229616 7190722 8217968 10459232 14381444 16435936 20918464 28762888 32871872 57525776 115051552 230103104