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232103201000 = 235311173121967
BaseRepresentation
bin1101100000101001101…
…1011100100011101000
3211012002200010021020212
43120022123130203220
512300321404413000
6254343213040252
722524506441126
oct3301233344350
9735080107225
10232103201000
118a48622a280
1238b96a86088
1318b6c3530b8
14b33b9aa916
156086a48c35
hex360a6dc8e8

232103201000 has 128 divisors (see below), whose sum is σ = 595925890560. Its totient is φ = 83912608000.

The previous prime is 232103200943. The next prime is 232103201017. The reversal of 232103201000 is 102301232.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842017 + ... + 1963983.

It is an arithmetic number, because the mean of its divisors is an integer number (4655671020).

Almost surely, 2232103201000 is an apocalyptic number.

232103201000 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 232103201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297962945280).

232103201000 is an abundant number, since it is smaller than the sum of its proper divisors (363822689560).

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

232103201000 is a wasteful number, since it uses less digits than its factorization.

232103201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122172 (or 122158 counting only the distinct ones).

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

Adding to 232103201000 its reverse (102301232), we get a palindrome (232205502232).

The spelling of 232103201000 in words is "two hundred thirty-two billion, one hundred three million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 173 200 220 250 275 346 440 500 550 692 865 1000 1100 1375 1384 1730 1903 2200 2750 3460 3806 4325 5500 6920 7612 8650 9515 11000 15224 17300 19030 21625 34600 38060 43250 47575 76120 86500 95150 121967 173000 190300 237875 243934 380600 475750 487868 609835 951500 975736 1219670 1341637 1903000 2439340 2683274 3049175 4878680 5366548 6098350 6708185 10733096 12196700 13416370 15245875 21100291 24393400 26832740 30491750 33540925 42200582 53665480 60983500 67081850 84401164 105501455 121967000 134163700 167704625 168802328 211002910 232103201 268327400 335409250 422005820 464206402 527507275 670818500 844011640 928412804 1055014550 1160516005 1341637000 1856825608 2110029100 2321032010 2637536375 4220058200 4642064020 5275072750 5802580025 9284128040 10550145500 11605160050 21100291000 23210320100 29012900125 46420640200 58025800250 116051600500 232103201000