Search a number
-
+
30231020100 = 223521722726113
BaseRepresentation
bin11100001001111010…
…001100001001000100
32220000211222221101010
4130021322030021010
5443403120120400
621515443402220
72120103300561
oct341172141104
986024887333
1030231020100
1111903693936
125a38383370
132b0a1c0798
14166adc3868
15bbe05e450
hex709e8c244

30231020100 has 144 divisors (see below), whose sum is σ = 93025171008. Its totient is φ = 7553679360.

The previous prime is 30231020093. The next prime is 30231020119. The reversal of 30231020100 is 102013203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144644 + ... + 1170756.

It is an arithmetic number, because the mean of its divisors is an integer number (646008132).

Almost surely, 230231020100 is an apocalyptic number.

30231020100 is a gapful number since it is divisible by the number (30) 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 30231020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512585504).

30231020100 is an abundant number, since it is smaller than the sum of its proper divisors (62794150908).

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

30231020100 is a wasteful number, since it uses less digits than its factorization.

30231020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26374 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30231020100 its reverse (102013203), we get a palindrome (30333033303).

The spelling of 30231020100 in words is "thirty billion, two hundred thirty-one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 227 255 300 340 425 454 510 681 850 908 1020 1135 1275 1362 1700 2270 2550 2724 3405 3859 4540 5100 5675 6810 7718 11350 11577 13620 15436 17025 19295 22700 23154 26113 34050 38590 46308 52226 57885 68100 77180 78339 96475 104452 115770 130565 156678 192950 231540 261130 289425 313356 385900 391695 443921 522260 578850 652825 783390 887842 1157700 1305650 1331763 1566780 1775684 1958475 2219605 2611300 2663526 3916950 4439210 5327052 5927651 6658815 7833900 8878420 11098025 11855302 13317630 17782953 22196050 23710604 26635260 29638255 33294075 35565906 44392100 59276510 66588150 71131812 88914765 100770067 118553020 133176300 148191275 177829530 201540134 296382550 302310201 355659060 403080268 444573825 503850335 592765100 604620402 889147650 1007700670 1209240804 1511551005 1778295300 2015401340 2519251675 3023102010 5038503350 6046204020 7557755025 10077006700 15115510050 30231020100