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30331203100 = 225211210324337
BaseRepresentation
bin11100001111111000…
…010110111000011100
32220021211111202121121
4130033320112320130
5444104241444400
621533422540324
72122430654362
oct341770267034
986254452547
1030331203100
111195519a900
125a65a376a4
132b24b99673
14167a421632
15bc7c4d21a
hex70fe16e1c

30331203100 has 108 divisors (see below), whose sum is σ = 73051577872. Its totient is φ = 10921996800.

The previous prime is 30331203083. The next prime is 30331203101. The reversal of 30331203100 is 130213303.

It is a super-2 number, since 2×303312031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30331203101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1234132 + ... + 1258468.

Almost surely, 230331203100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30331203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36525788936).

30331203100 is an abundant number, since it is smaller than the sum of its proper divisors (42720374772).

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

30331203100 is a wasteful number, since it uses less digits than its factorization.

30331203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24476 (or 24458 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 30331203100 its reverse (130213303), we get a palindrome (30461416403).

The spelling of 30331203100 in words is "thirty billion, three hundred thirty-one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 121 206 220 242 275 412 484 515 550 605 1030 1100 1133 1210 2060 2266 2420 2575 3025 4532 5150 5665 6050 10300 11330 12100 12463 22660 24337 24926 28325 48674 49852 56650 62315 97348 113300 121685 124630 243370 249260 267707 311575 486740 535414 608425 623150 1070828 1216850 1246300 1338535 2433700 2506711 2677070 2944777 5013422 5354140 5889554 6692675 10026844 11779108 12533555 13385350 14723885 25067110 26770700 27573821 29447770 50134220 55147642 58895540 62667775 73619425 110295284 125335550 137869105 147238850 250671100 275738210 294477700 303312031 551476420 606624062 689345525 1213248124 1378691050 1516560155 2757382100 3033120310 6066240620 7582800775 15165601550 30331203100