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30122332020 = 223251115213299
BaseRepresentation
bin11100000011011011…
…100100111101110100
32212202021111000100200
4130003123210331310
5443142304111040
621501002040500
72114313411654
oct340333447564
985667430320
1030122332020
11118582a8980
125a07aa9130
132ac0827601
14165a7b0364
15bb4740630
hex7036e4f74

30122332020 has 72 divisors (see below), whose sum is σ = 99677541600. Its totient is φ = 7302383040.

The previous prime is 30122332001. The next prime is 30122332027. The reversal of 30122332020 is 2023322103.

It is a happy number.

30122332020 is a `hidden beast` number, since 301 + 2 + 23 + 320 + 20 = 666.

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 = 30122331984 and 30122332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30122332027) 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 23 ways as a sum of consecutive naturals, for example, 7604670 + ... + 7608629.

It is an arithmetic number, because the mean of its divisors is an integer number (1384410300).

Almost surely, 230122332020 is an apocalyptic number.

30122332020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30122332020 is an abundant number, since it is smaller than the sum of its proper divisors (69555209580).

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

30122332020 is a wasteful number, since it uses less digits than its factorization.

30122332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15213325 (or 15213320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30122332020 its reverse (2023322103), we get a palindrome (32145654123).

The spelling of 30122332020 in words is "thirty billion, one hundred twenty-two million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15213299 30426598 45639897 60853196 76066495 91279794 136919691 152132990 167346289 182559588 228199485 273839382 304265980 334692578 456398970 502038867 547678764 669385156 684598455 836731445 912797940 1004077734 1369196910 1506116601 1673462890 2008155468 2510194335 2738393820 3012233202 3346925780 5020388670 6024466404 7530583005 10040777340 15061166010 30122332020