Search a number
-
+
30113210100 = 223521711635077
BaseRepresentation
bin11100000010111000…
…110001111011110100
32212201122022120102210
4130002320301323310
5443132440210400
621500034333420
72114143030311
oct340270617364
985648276383
1030113210100
11118531384a6
125a04a2a270
132abb98261c
1416594b7d08
15bb3a3c950
hex702e31ef4

30113210100 has 144 divisors (see below), whose sum is σ = 92350214208. Its totient is φ = 7549839360.

The previous prime is 30113210093. The next prime is 30113210137. The reversal of 30113210100 is 101231103.

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

It is a congruent number.

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, 5928762 + ... + 5933838.

It is an arithmetic number, because the mean of its divisors is an integer number (641320932).

Almost surely, 230113210100 is an apocalyptic number.

30113210100 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 30113210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46175107104).

30113210100 is an abundant number, since it is smaller than the sum of its proper divisors (62237004108).

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

30113210100 is a wasteful number, since it uses less digits than its factorization.

30113210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30113210100 its reverse (101231103), we get a palindrome (30214441203).

The spelling of 30113210100 in words is "thirty billion, one hundred thirteen million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1163 1275 1700 2326 2550 3489 4652 5077 5100 5815 6978 10154 11630 13956 15231 17445 19771 20308 23260 25385 29075 30462 34890 39542 50770 58150 59313 60924 69780 76155 79084 86309 87225 98855 101540 116300 118626 126925 152310 172618 174450 197710 237252 253850 258927 296565 304620 345236 348900 380775 395420 431545 494275 507700 517854 593130 761550 863090 988550 1035708 1186260 1294635 1482825 1523100 1726180 1977100 2157725 2589270 2965650 4315450 5178540 5904551 5931300 6473175 8630900 11809102 12946350 17713653 23618204 25892700 29522755 35427306 59045510 70854612 88568265 100377367 118091020 147613775 177136530 200754734 295227550 301132101 354273060 401509468 442841325 501886835 590455100 602264202 885682650 1003773670 1204528404 1505660505 1771365300 2007547340 2509434175 3011321010 5018868350 6022642020 7528302525 10037736700 15056605050 30113210100