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30320000010 = 23252321633907
BaseRepresentation
bin11100001111001101…
…100111110000001010
32220021001102120212100
4130033031213300022
5444043410000020
621532342454230
72122233514326
oct341715476012
986231376770
1030320000010
1111949938853
125a62134376
132b22776311
141678b46986
15bc6c88a90
hex70f367c0a

30320000010 has 144 divisors (see below), whose sum is σ = 82935294624. Its totient is φ = 7684383168.

The previous prime is 30320000003. The next prime is 30320000093. The reversal of 30320000010 is 1000002303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30319999947 and 30320000001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7758477 + ... + 7762383.

It is an arithmetic number, because the mean of its divisors is an integer number (575939546).

Almost surely, 230320000010 is an apocalyptic number.

30320000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30320000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41467647312).

30320000010 is an abundant number, since it is smaller than the sum of its proper divisors (52615294614).

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

30320000010 is a wasteful number, since it uses less digits than its factorization.

30320000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30320000010 its reverse (1000002303), we get a palindrome (31320002313).

The spelling of 30320000010 in words is "thirty billion, three hundred twenty million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 163 207 230 326 345 414 489 529 690 815 978 1035 1058 1467 1587 1630 2070 2445 2645 2934 3174 3749 3907 4761 4890 5290 7335 7498 7814 7935 9522 11247 11721 14670 15870 18745 19535 22494 23442 23805 33741 35163 37490 39070 47610 56235 58605 67482 70326 86227 89861 112470 117210 168705 172454 175815 179722 258681 269583 337410 351630 431135 449305 517362 539166 636841 776043 808749 862270 898610 1273682 1293405 1347915 1552086 1617498 1910523 2066803 2586810 2695830 3184205 3821046 3880215 4043745 4133606 5731569 6200409 6368410 7760430 8087490 9552615 10334015 11463138 12400818 14647343 18601227 19105230 20668030 28657845 29294686 31002045 37202454 43942029 57315690 62004090 73236715 87884058 93006135 131826087 146473430 186012270 219710145 263652174 336888889 439420290 659130435 673777778 1010666667 1318260870 1684444445 2021333334 3032000001 3368888890 5053333335 6064000002 10106666670 15160000005 30320000010