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230001102100 = 2252711127235199
BaseRepresentation
bin1101011000110100100…
…0100100110100010100
3210222200011122120200001
43112031020210310110
512232020240231400
6253354441501044
722421433052660
oct3261510446424
9728604576601
10230001102100
11895a7698260
12386aaaa1784
13188c59abab3
14b1bc7358a0
155eb2219a6a
hex358d224d14

230001102100 has 144 divisors (see below), whose sum is σ = 627159859200. Its totient is φ = 71123875200.

The previous prime is 230001102031. The next prime is 230001102103. The reversal of 230001102100 is 1201100032.

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 (230001102103) 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, 860301 + ... + 1095499.

It is an arithmetic number, because the mean of its divisors is an integer number (4355276800).

Almost surely, 2230001102100 is an apocalyptic number.

230001102100 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 230001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313579929600).

230001102100 is an abundant number, since it is smaller than the sum of its proper divisors (397158757100).

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

230001102100 is a wasteful number, since it uses less digits than its factorization.

230001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235358 (or 235351 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 230001102100 its reverse (1201100032), we get a palindrome (231202202132).

The spelling of 230001102100 in words is "two hundred thirty billion, one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 127 140 154 175 220 254 275 308 350 385 508 550 635 700 770 889 1100 1270 1397 1540 1778 1925 2540 2794 3175 3556 3850 4445 5588 6350 6985 7700 8890 9779 12700 13970 17780 19558 22225 27940 34925 39116 44450 48895 69850 88900 97790 139700 195580 235199 244475 470398 488950 940796 977900 1175995 1646393 2351990 2587189 3292786 4703980 5174378 5879975 6585572 8231965 10348756 11759950 12935945 16463930 18110323 23519900 25871890 29870273 32927860 36220646 41159825 51743780 59740546 64679725 72441292 82319650 90551615 119481092 129359450 149351365 164639300 181103230 209091911 258718900 298702730 328573003 362206460 418183822 452758075 597405460 657146006 746756825 836367644 905516150 1045459555 1314292012 1493513650 1642865015 1811032300 2090919110 2300011021 2987027300 3285730030 4181838220 4600022042 5227297775 6571460060 8214325075 9200044084 10454595550 11500055105 16428650150 20909191100 23000110210 32857300300 46000220420 57500275525 115000551050 230001102100