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230113100 = 22527973389
BaseRepresentation
bin11011011011100…
…11111101001100
3121000222221211102
431231303331030
5432402104400
634500042232
75462633450
oct1555637514
9530887742
10230113100
11108990418
1265093378
133889b8c9
14227c0660
15153069d5
hexdb73f4c

230113100 has 72 divisors (see below), whose sum is σ = 576733920. Its totient is φ = 78059520.

The previous prime is 230113099. The next prime is 230113109. The reversal of 230113100 is 1311032.

It is a super-2 number, since 2×2301131002 = 105904077583220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230113109) 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, 66206 + ... + 69594.

Almost surely, 2230113100 is an apocalyptic number.

230113100 is a gapful number since it is divisible by the number (20) 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 230113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288366960).

230113100 is an abundant number, since it is smaller than the sum of its proper divisors (346620820).

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

230113100 is a wasteful number, since it uses less digits than its factorization.

230113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 230113100 is about 15169.4792263940. The cubic root of 230113100 is about 612.7929793693.

Adding to 230113100 its reverse (1311032), we get a palindrome (231424132).

The spelling of 230113100 in words is "two hundred thirty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3389 3395 4850 6778 6790 9700 13556 13580 16945 16975 23723 33890 33950 47446 67780 67900 84725 94892 118615 169450 237230 328733 338900 474460 593075 657466 1186150 1314932 1643665 2301131 2372300 3287330 4602262 6574660 8218325 9204524 11505655 16436650 23011310 32873300 46022620 57528275 115056550 230113100