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230031100 = 2252131967139
BaseRepresentation
bin11011011010111…
…11111011111100
3121000211210100101
431231133323330
5432341443400
634454210444
75462142415
oct1555377374
9530753311
10230031100
11108934852
1265053a24
13388704a0
142279c80c
15152dc56a
hexdb5fefc

230031100 has 144 divisors (see below), whose sum is σ = 578435200. Its totient is φ = 78693120.

The previous prime is 230031079. The next prime is 230031107. The reversal of 230031100 is 1130032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230031107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654831 + ... + 1654969.

Almost surely, 2230031100 is an apocalyptic number.

230031100 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 230031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289217600).

230031100 is an abundant number, since it is smaller than the sum of its proper divisors (348404100).

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

230031100 is a wasteful number, since it uses less digits than its factorization.

230031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 230031100 is about 15166.7761900807. The cubic root of 230031100 is about 612.7201818418.

Adding to 230031100 its reverse (1130032), we get a palindrome (231161132).

The spelling of 230031100 in words is "two hundred thirty million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 67 76 95 100 130 134 139 190 247 260 268 278 325 335 380 475 494 556 650 670 695 871 950 988 1235 1273 1300 1340 1390 1675 1742 1807 1900 2470 2546 2641 2780 3350 3475 3484 3614 4355 4940 5092 5282 6175 6365 6700 6950 7228 8710 9035 9313 10564 12350 12730 13205 13900 16549 17420 18070 18626 21775 24700 25460 26410 31825 33098 34333 36140 37252 43550 45175 46565 52820 63650 66025 66196 68666 82745 87100 90350 93130 121069 127300 132050 137332 165490 171665 176947 180700 186260 232825 242138 264100 330980 343330 353894 413725 465650 484276 605345 686660 707788 827450 858325 884735 931300 1210690 1654900 1716650 1769470 2300311 2421380 3026725 3433300 3538940 4423675 4600622 6053450 8847350 9201244 11501555 12106900 17694700 23003110 46006220 57507775 115015550 230031100