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30443101020 = 22335124945137
BaseRepresentation
bin11100010110100011…
…001101101101011100
32220120122001202201000
4130112203031231130
5444321413213040
621552501150300
72125260042363
oct342643155534
986518052630
1030443101020
1111a02378422
125a973bb390
132b42117857
14168b22c7da
15bd29a3130
hex7168cdb5c

30443101020 has 96 divisors (see below), whose sum is σ = 94789800000. Its totient is φ = 8111480832.

The previous prime is 30443100997. The next prime is 30443101021. The reversal of 30443101020 is 2010134403.

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 = 30443100984 and 30443101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30443101021) 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 31 ways as a sum of consecutive naturals, for example, 651892 + ... + 697028.

It is an arithmetic number, because the mean of its divisors is an integer number (987393750).

Almost surely, 230443101020 is an apocalyptic number.

30443101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30443101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47394900000).

30443101020 is an abundant number, since it is smaller than the sum of its proper divisors (64346698980).

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

30443101020 is a wasteful number, since it uses less digits than its factorization.

30443101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46404 (or 46396 counting only the distinct ones).

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

Adding to 30443101020 its reverse (2010134403), we get a palindrome (32453235423).

The spelling of 30443101020 in words is "thirty billion, four hundred forty-three million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1249 2498 3747 4996 6245 7494 11241 12490 14988 18735 22482 24980 33723 37470 44964 45137 56205 67446 74940 90274 112410 134892 135411 168615 180548 224820 225685 270822 337230 406233 451370 541644 674460 677055 812466 902740 1218699 1354110 1624932 2031165 2437398 2708220 4062330 4874796 6093495 8124660 12186990 24373980 56376113 112752226 169128339 225504452 281880565 338256678 507385017 563761130 676513356 845641695 1014770034 1127522260 1522155051 1691283390 2029540068 2536925085 3044310102 3382566780 5073850170 6088620204 7610775255 10147700340 15221550510 30443101020