Search a number
-
+
30100013020200 = 23352140935604463
BaseRepresentation
bin1101101100000001101001…
…00101010111010000101000
310221120112101122211121002110
412312000310211113100220
512421124311313121300
6144003431033202320
76224440245133404
oct666006445272050
9127515348747073
1030100013020200
11965538670a452
1234617015603a0
1313a455a85a146
14760bc403a104
15372e85236550
hex1b6034957428

30100013020200 has 96 divisors (see below), whose sum is σ = 93376267286400. Its totient is φ = 8020973199360.

The previous prime is 30100013020177. The next prime is 30100013020211. The reversal of 30100013020200 is 202031000103.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16956832 + ... + 18647631.

It is an arithmetic number, because the mean of its divisors is an integer number (972669450900).

Almost surely, 230100013020200 is an apocalyptic number.

30100013020200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30100013020200 is an abundant number, since it is smaller than the sum of its proper divisors (63276254266200).

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

30100013020200 is a wasteful number, since it uses less digits than its factorization.

30100013020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35605891 (or 35605882 counting only the distinct ones).

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

Adding to 30100013020200 its reverse (202031000103), we get a palindrome (30302044020303).

The spelling of 30100013020200 in words is "thirty trillion, one hundred billion, thirteen million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1409 2818 4227 5636 7045 8454 11272 14090 16908 21135 28180 33816 35225 42270 56360 70450 84540 105675 140900 169080 211350 281800 422700 845400 35604463 71208926 106813389 142417852 178022315 213626778 284835704 356044630 427253556 534066945 712089260 854507112 890111575 1068133890 1424178520 1780223150 2136267780 2670334725 3560446300 4272535560 5340669450 7120892600 10681338900 21362677800 50166688367 100333376734 150500065101 200666753468 250833441835 301000130202 401333506936 501666883670 602000260404 752500325505 1003333767340 1204000520808 1254167209175 1505000651010 2006667534680 2508334418350 3010001302020 3762501627525 5016668836700 6020002604040 7525003255050 10033337673400 15050006510100 30100013020200