Search a number
-
+
30300530112 = 2633103170243
BaseRepresentation
bin11100001110000011…
…010110010111000000
32220012200210102012000
4130032003112113000
5444023413430422
621530405304000
72121606153636
oct341603262700
986180712160
1030300530112
111193994a826
125a57705000
132b1b71a278
141676319356
15bc51decac
hex70e0d65c0

30300530112 has 112 divisors (see below), whose sum is σ = 89943310080. Its totient is φ = 10002057984.

The previous prime is 30300530111. The next prime is 30300530131. The reversal of 30300530112 is 21103500303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30300530111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92863 + ... + 263105.

Almost surely, 230300530112 is an apocalyptic number.

30300530112 is a gapful number since it is divisible by the number (32) 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 30300530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44971655040).

30300530112 is an abundant number, since it is smaller than the sum of its proper divisors (59642779968).

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

30300530112 is a wasteful number, since it uses less digits than its factorization.

30300530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170367 (or 170351 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 30300530112 in words is "thirty billion, three hundred million, five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 192 206 216 288 309 412 432 576 618 824 864 927 1236 1648 1728 1854 2472 2781 3296 3708 4944 5562 6592 7416 9888 11124 14832 19776 22248 29664 44496 59328 88992 170243 177984 340486 510729 680972 1021458 1361944 1532187 2042916 2723888 3064374 4085832 4596561 5447776 6128748 8171664 9193122 10895552 12257496 16343328 17535029 18386244 24514992 32686656 35070058 36772488 49029984 52605087 70140116 73544976 98059968 105210174 140280232 147089952 157815261 210420348 280560464 294179904 315630522 420840696 473445783 561120928 631261044 841681392 946891566 1122241856 1262522088 1683362784 1893783132 2525044176 3366725568 3787566264 5050088352 7575132528 10100176704 15150265056 30300530112