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30211042320 = 24325291446889
BaseRepresentation
bin11100001000101101…
…111110110000010000
32212222110101222000100
4130020231332300100
5443333011323240
621513451252400
72116441423404
oct341055766020
985873358010
1030211042320
11118a3389278
125a3174a100
132b06017504
1416684a3104
15bbc414e30
hex708b7ec10

30211042320 has 120 divisors (see below), whose sum is σ = 104957400600. Its totient is φ = 7778469888.

The previous prime is 30211042319. The next prime is 30211042327. The reversal of 30211042320 is 2324011203.

30211042320 is a `hidden beast` number, since 30 + 211 + 0 + 423 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11286087696 + 18924954624 = 106236^2 + 137568^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 30211042293 and 30211042302.

It is not an unprimeable number, because it can be changed into a prime (30211042327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702565 + ... + 744324.

It is an arithmetic number, because the mean of its divisors is an integer number (874645005).

Almost surely, 230211042320 is an apocalyptic number.

30211042320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30211042320 is an abundant number, since it is smaller than the sum of its proper divisors (74746358280).

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

30211042320 is a wasteful number, since it uses less digits than its factorization.

30211042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446937 (or 1446928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30211042320 its reverse (2324011203), we get a palindrome (32535053523).

The spelling of 30211042320 in words is "thirty billion, two hundred eleven million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 1446889 2893778 4340667 5787556 7234445 8681334 11575112 13022001 14468890 17362668 21703335 23150224 26044002 28937780 34725336 41959781 43406670 52088004 57875560 65110005 69450672 83919562 86813340 104176008 115751120 125879343 130220010 167839124 173626680 208352016 209798905 251758686 260440020 335678248 347253360 377638029 419597810 503517372 520880040 629396715 671356496 755276058 839195620 1007034744 1041760080 1258793430 1510552116 1678391240 1888190145 2014069488 2517586860 3021104232 3356782480 3776380290 5035173720 6042208464 7552760580 10070347440 15105521160 30211042320