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30213123300 = 22325237907301
BaseRepresentation
bin11100001000110101…
…111010110011100100
32212222121022200120200
4130020311322303210
5443334024421200
621514004030500
72116465211403
oct341065726344
985877280520
1030213123300
11118a457a798
125a32392430
132b06595769
14166888563a
15bbc6c6800
hex708d7ace4

30213123300 has 108 divisors (see below), whose sum is σ = 97260959796. Its totient is φ = 7839072000.

The previous prime is 30213123233. The next prime is 30213123301. The reversal of 30213123300 is 332131203.

30213123300 is a `hidden beast` number, since 3 + 0 + 21 + 312 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 500327424 + 29712795876 = 22368^2 + 172374^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30213123301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 420351 + ... + 486950.

Almost surely, 230213123300 is an apocalyptic number.

30213123300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30213123300 is an abundant number, since it is smaller than the sum of its proper divisors (67047836496).

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

30213123300 is a wasteful number, since it uses less digits than its factorization.

30213123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907358 (or 907348 counting only the distinct ones).

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

Adding to 30213123300 its reverse (332131203), we get a palindrome (30545254503).

The spelling of 30213123300 in words is "thirty billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 907301 1814602 2721903 3629204 4536505 5443806 8165709 9073010 10887612 13609515 16331418 18146020 22682525 27219030 32662836 33570137 40828545 45365050 54438060 67140274 68047575 81657090 90730100 100710411 134280548 136095150 163314180 167850685 201420822 204142725 272190300 302131233 335701370 402841644 408285450 503552055 604262466 671402740 816570900 839253425 1007104110 1208524932 1510656165 1678506850 2014208220 2517760275 3021312330 3357013700 5035520550 6042624660 7553280825 10071041100 15106561650 30213123300