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30122413000 = 235341734693
BaseRepresentation
bin11100000011011011…
…111000101111001000
32212202021122010102221
4130003123320233020
5443142314204000
621501003503424
72114314200031
oct340333705710
985667563387
1030122413000
11118583537a9
125a07b27b74
132ac0855424
14165a7d1a88
15bb475961a
hex7036f8bc8

30122413000 has 64 divisors (see below), whose sum is σ = 72205726320. Its totient is φ = 11755072000.

The previous prime is 30122412949. The next prime is 30122413043. The reversal of 30122413000 is 31422103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 83283876 + 30039129124 = 9126^2 + 173318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326347 + ... + 408346.

Almost surely, 230122413000 is an apocalyptic number.

It is an amenable number.

30122413000 is an abundant number, since it is smaller than the sum of its proper divisors (42083313320).

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

30122413000 is a wasteful number, since it uses less digits than its factorization.

30122413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734755 (or 734741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30122413000 its reverse (31422103), we get a palindrome (30153835103).

The spelling of 30122413000 in words is "thirty billion, one hundred twenty-two million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 734693 1469386 2938772 3673465 5877544 7346930 14693860 18367325 29387720 30122413 36734650 60244826 73469300 91836625 120489652 146938600 150612065 183673250 240979304 301224130 367346500 602448260 734693000 753060325 1204896520 1506120650 3012241300 3765301625 6024482600 7530603250 15061206500 30122413000