Search a number
-
+
30301233000 = 2335314516961
BaseRepresentation
bin11100001110000110…
…000001111101101000
32220012202010010100220
4130032012001331220
5444024103424000
621530432330040
72121615142113
oct341606017550
986182103326
1030301233000
111193a28a925
125a579a3920
132b1b90518c
14167645d57a
15bc52cd1a0
hex70e181f68

30301233000 has 128 divisors (see below), whose sum is σ = 94618592640. Its totient is φ = 8073600000.

The previous prime is 30301232993. The next prime is 30301233029. The reversal of 30301233000 is 33210303.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4349520 + ... + 4356480.

It is an arithmetic number, because the mean of its divisors is an integer number (739207755).

Almost surely, 230301233000 is an apocalyptic number.

30301233000 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 30301233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47309296320).

30301233000 is an abundant number, since it is smaller than the sum of its proper divisors (64317359640).

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

30301233000 is a wasteful number, since it uses less digits than its factorization.

30301233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8436 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 30301233000 its reverse (33210303), we get a palindrome (30334443303).

The spelling of 30301233000 in words is "thirty billion, three hundred one million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1451 1500 2902 3000 4353 5804 6961 7255 8706 11608 13922 14510 17412 20883 21765 27844 29020 34805 34824 36275 41766 43530 55688 58040 69610 72550 83532 87060 104415 108825 139220 145100 167064 174025 174120 181375 208830 217650 278440 290200 348050 362750 417660 435300 522075 544125 696100 725500 835320 870125 870600 1044150 1088250 1392200 1451000 1740250 2088300 2176500 2610375 3480500 4176600 4353000 5220750 6961000 10100411 10441500 20200822 20883000 30301233 40401644 50502055 60602466 80803288 101004110 121204932 151506165 202008220 242409864 252510275 303012330 404016440 505020550 606024660 757530825 1010041100 1212049320 1262551375 1515061650 2020082200 2525102750 3030123300 3787654125 5050205500 6060246600 7575308250 10100411000 15150616500 30301233000