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30132231300 = 22325299733581
BaseRepresentation
bin11100000100000001…
…010101110010000100
32212202222002221121200
4130010001111302010
5443202322400200
621501554142500
72114463511563
oct340401256204
985688087550
1030132231300
111186294a3a6
125a0b281a30
132ac28b2382
14165bc29bda
15bb5548800
hex704055c84

30132231300 has 108 divisors (see below), whose sum is σ = 94545352356. Its totient is φ = 8026963200.

The previous prime is 30132231221. The next prime is 30132231313. The reversal of 30132231300 is 313223103.

30132231300 is a `hidden beast` number, since 3 + 0 + 132 + 231 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2603448576 + 27528782724 = 51024^2 + 165918^2 .

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

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, 880510 + ... + 914090.

Almost surely, 230132231300 is an apocalyptic number.

30132231300 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 30132231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47272676178).

30132231300 is an abundant number, since it is smaller than the sum of its proper divisors (64413121056).

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

30132231300 is a wasteful number, since it uses less digits than its factorization.

30132231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34598 (or 34588 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30132231300 its reverse (313223103), we get a palindrome (30445454403).

The spelling of 30132231300 in words is "thirty billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 997 1994 2991 3988 4985 5982 8973 9970 11964 14955 17946 19940 24925 29910 33581 35892 44865 49850 59820 67162 74775 89730 99700 100743 134324 149550 167905 179460 201486 224325 299100 302229 335810 402972 448650 503715 604458 671620 839525 897300 1007430 1208916 1511145 1679050 2014860 2518575 3022290 3358100 5037150 6044580 7555725 10074300 15111450 30222900 33480257 66960514 100440771 133921028 167401285 200881542 301322313 334802570 401763084 502203855 602644626 669605140 837006425 1004407710 1205289252 1506611565 1674012850 2008815420 2511019275 3013223130 3348025700 5022038550 6026446260 7533057825 10044077100 15066115650 30132231300