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322130424540 = 223547197579851
BaseRepresentation
bin1001011000000000111…
…10000011001011011100
31010210110211020002001110
410230000132003023130
520234210342041130
6403552404542020
732162456300451
oct4540036031334
91123424202043
10322130424540
11114684254861
12525209b1910
13244b89b7682
141183c353828
1585a54a1ab0
hex4b007832dc

322130424540 has 96 divisors (see below), whose sum is σ = 925833452544. Its totient is φ = 83646841600.

The previous prime is 322130424533. The next prime is 322130424631. The reversal of 322130424540 is 45424031223.

322130424540 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 322130424498 and 322130424507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265615 + ... + 845465.

It is an arithmetic number, because the mean of its divisors is an integer number (9644098464).

Almost surely, 2322130424540 is an apocalyptic number.

322130424540 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 322130424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462916726272).

322130424540 is an abundant number, since it is smaller than the sum of its proper divisors (603703028004).

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

322130424540 is a wasteful number, since it uses less digits than its factorization.

322130424540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580107 (or 580105 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 322130424540 its reverse (45424031223), we get a palindrome (367554455763).

The spelling of 322130424540 in words is "three hundred twenty-two billion, one hundred thirty million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 197 235 282 394 470 564 591 705 788 940 985 1182 1410 1970 2364 2820 2955 3940 5910 9259 11820 18518 27777 37036 46295 55554 92590 111108 138885 185180 277770 555540 579851 1159702 1739553 2319404 2899255 3479106 5798510 6958212 8697765 11597020 17395530 27252997 34791060 54505994 81758991 109011988 114230647 136264985 163517982 228461294 272529970 327035964 342691941 408794955 456922588 545059940 571153235 685383882 817589910 1142306470 1370767764 1635179820 1713459705 2284612940 3426919410 5368840409 6853838820 10737680818 16106521227 21475361636 26844202045 32213042454 53688404090 64426084908 80532606135 107376808180 161065212270 322130424540