Search a number
-
+
30401020200 = 2335210124967
BaseRepresentation
bin11100010100000010…
…101100000100101000
32220110200212211200010
4130110002230010220
5444230130121300
621544355211520
72124236256645
oct342402540450
986420784603
1030401020200
1111990646491
125a852a6ba0
132b364a2b65
1416857d6dcc
15bcde3ea50
hex7140ac128

30401020200 has 144 divisors (see below), whose sum is σ = 95204665440. Its totient is φ = 8025056000.

The previous prime is 30401020183. The next prime is 30401020213. The reversal of 30401020200 is 202010403.

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 35 ways as a sum of consecutive naturals, for example, 6118117 + ... + 6123083.

It is an arithmetic number, because the mean of its divisors is an integer number (661143510).

Almost surely, 230401020200 is an apocalyptic number.

30401020200 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 30401020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47602332720).

30401020200 is an abundant number, since it is smaller than the sum of its proper divisors (64803645240).

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

30401020200 is a wasteful number, since it uses less digits than its factorization.

30401020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 30401020200 its reverse (202010403), we get a palindrome (30603030603).

The spelling of 30401020200 in words is "thirty billion, four hundred one million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 4967 5050 6060 7575 9934 10100 10201 12120 14901 15150 19868 20200 20402 24835 29802 30300 30603 39736 40804 49670 51005 59604 60600 61206 74505 81608 99340 102010 119208 122412 124175 149010 153015 198680 204020 244824 248350 255025 298020 306030 372525 408040 496700 501667 510050 596040 612060 745050 765075 993400 1003334 1020100 1224120 1490100 1505001 1530150 2006668 2040200 2508335 2980200 3010002 3060300 4013336 5016670 6020004 6120600 7525005 10033340 12040008 12541675 15050010 20066680 25083350 30100020 37625025 50166700 50668367 60200040 75250050 100333400 101336734 150500100 152005101 202673468 253341835 301000200 304010202 405346936 506683670 608020404 760025505 1013367340 1216040808 1266709175 1520051010 2026734680 2533418350 3040102020 3800127525 5066836700 6080204040 7600255050 10133673400 15200510100 30401020200