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323320022130 = 2357193224467
BaseRepresentation
bin1001011010001110110…
…00000000010001110010
31010220112201122220011110
410231013120000101302
520244124411202010
6404310422054150
732234112562140
oct4550730002162
91126481586143
10323320022130
111151347a6066
12527b327a356
13246482a9081
1411912336590
158624b35120
hex4b47600472

323320022130 has 128 divisors (see below), whose sum is σ = 936085432320. Its totient is φ = 70011843264.

The previous prime is 323320022107. The next prime is 323320022131. The reversal of 323320022130 is 31220023323.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 323320022097 and 323320022106.

It is not an unprimeable number, because it can be changed into a prime (323320022131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328157 + ... + 1552623.

It is an arithmetic number, because the mean of its divisors is an integer number (7313167440).

Almost surely, 2323320022130 is an apocalyptic number.

323320022130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323320022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468042716160).

323320022130 is an abundant number, since it is smaller than the sum of its proper divisors (612765410190).

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

323320022130 is a wasteful number, since it uses less digits than its factorization.

323320022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224541 (or 224503 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 323320022130 its reverse (31220023323), we get a palindrome (354540045453).

The spelling of 323320022130 in words is "three hundred twenty-three billion, three hundred twenty million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 361 399 570 665 722 798 1083 1330 1805 1995 2166 2527 3610 3990 5054 5415 6859 7581 10830 12635 13718 15162 20577 25270 34295 37905 41154 48013 68590 75810 96026 102885 144039 205770 224467 240065 288078 448934 480130 673401 720195 1122335 1346802 1440390 1571269 2244670 3142538 3367005 4264873 4713807 6734010 7856345 8529746 9427614 12794619 15712690 21324365 23569035 25589238 29854111 42648730 47138070 59708222 63973095 81032587 89562333 127946190 149270555 162065174 179124666 243097761 298541110 405162935 447811665 486195522 567228109 810325870 895623330 1134456218 1215488805 1539619153 1701684327 2430977610 2836140545 3079238306 3403368654 4618857459 5672281090 7698095765 8508421635 9237714918 10777334071 15396191530 17016843270 21554668142 23094287295 32332002213 46188574590 53886670355 64664004426 107773340710 161660011065 323320022130