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30032211024 = 24331014311597
BaseRepresentation
bin11011111110000011…
…110010110001010000
32212111222220101121000
4123332003302301100
5443001221223044
621444022302000
72112140403354
oct337603626120
985458811530
1030032211024
1111811444712
1259a1887900
132aa7c6258a
14164c831464
15bab88cd69
hex6fe0f2c50

30032211024 has 160 divisors (see below), whose sum is σ = 87313697280. Its totient is φ = 9882432000.

The previous prime is 30032211019. The next prime is 30032211029. The reversal of 30032211024 is 42011223003.

It is an interprime number because it is at equal distance from previous prime (30032211019) and next prime (30032211029).

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 = 30032210988 and 30032211006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032211029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18804594 + ... + 18806190.

It is an arithmetic number, because the mean of its divisors is an integer number (545710608).

Almost surely, 230032211024 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 30032211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43656848640).

30032211024 is an abundant number, since it is smaller than the sum of its proper divisors (57281486256).

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

30032211024 is a wasteful number, since it uses less digits than its factorization.

30032211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2134 counting only the distinct ones).

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

Adding to 30032211024 its reverse (42011223003), we get a palindrome (72043434027).

The spelling of 30032211024 in words is "thirty billion, thirty-two million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 431 432 606 808 862 909 1212 1293 1597 1616 1724 1818 2424 2586 2727 3194 3448 3636 3879 4791 4848 5172 5454 6388 6896 7272 7758 9582 10344 10908 11637 12776 14373 14544 15516 19164 20688 21816 23274 25552 28746 31032 38328 43119 43531 43632 46548 57492 62064 76656 86238 87062 93096 114984 130593 161297 172476 174124 186192 229968 261186 322594 344952 348248 391779 483891 522372 645188 688307 689904 696496 783558 967782 1044744 1175337 1290376 1376614 1451673 1567116 1935564 2064921 2089488 2350674 2580752 2753228 2903346 3134232 3871128 4129842 4355019 4701348 5506456 5806692 6194763 6268464 7742256 8259684 8710038 9402696 11012912 11613384 12389526 16519368 17420076 18584289 18805392 23226768 24779052 33038736 34840152 37168578 49558104 69519007 69680304 74337156 99116208 139038014 148674312 208557021 278076028 297348624 417114042 556152056 625671063 834228084 1112304112 1251342126 1668456168 1877013189 2502684252 3336912336 3754026378 5005368504 7508052756 10010737008 15016105512 30032211024