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30102133032 = 2334233199373
BaseRepresentation
bin11100000010001110…
…100001100100101000
32212200212110210120000
4130002032201210220
5443122121224112
621455001103000
72113646623536
oct340216414450
985625423500
1030102133032
11118479620a4
125a01187a60
132ab95a474a
141657c33156
15bb2aa07dc
hex7023a1928

30102133032 has 80 divisors (see below), whose sum is σ = 84676131540. Its totient is φ = 9990929664.

The previous prime is 30102133013. The next prime is 30102133049. The reversal of 30102133032 is 23033120103.

30102133032 is a `hidden beast` number, since 301 + 0 + 2 + 1 + 330 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29630113956 + 472019076 = 172134^2 + 21726^2 .

It is a super-2 number, since 2×301021330322 (a number of 22 digits) contains 22 as substring.

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 = 30102132996 and 30102133014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51298 + ... + 250670.

Almost surely, 230102133032 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 30102133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42338065770).

30102133032 is an abundant number, since it is smaller than the sum of its proper divisors (54573998508).

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

30102133032 is a wasteful number, since it uses less digits than its factorization.

30102133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199624 (or 199611 counting only the distinct ones).

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

Adding to 30102133032 its reverse (23033120103), we get a palindrome (53135253135).

The spelling of 30102133032 in words is "thirty billion, one hundred two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 233 324 466 648 699 932 1398 1864 2097 2796 4194 5592 6291 8388 12582 16776 18873 25164 37746 50328 75492 150984 199373 398746 598119 797492 1196238 1594984 1794357 2392476 3588714 4784952 5383071 7177428 10766142 14354856 16149213 21532284 32298426 43064568 46453909 64596852 92907818 129193704 139361727 185815636 278723454 371631272 418085181 557446908 836170362 1114893816 1254255543 1672340724 2508511086 3344681448 3762766629 5017022172 7525533258 10034044344 15051066516 30102133032