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1213022300 = 2252723591277
BaseRepresentation
bin100100001001101…
…0100000001011100
310010112111220202212
41020103110001130
54441013203200
6320211135552
742026343110
oct11023240134
93115456685
101213022300
115727a0676
1229a2a45b8
13164403899
14b715d740
157175e035
hex484d405c

1213022300 has 144 divisors (see below), whose sum is σ = 3194795520. Its totient is φ = 390762240.

The previous prime is 1213022297. The next prime is 1213022311. The reversal of 1213022300 is 32203121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949262 + ... + 950538.

It is an arithmetic number, because the mean of its divisors is an integer number (22186080).

Almost surely, 21213022300 is an apocalyptic number.

1213022300 is a gapful number since it is divisible by the number (10) 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 1213022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597397760).

1213022300 is an abundant number, since it is smaller than the sum of its proper divisors (1981773220).

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

1213022300 is a wasteful number, since it uses less digits than its factorization.

1213022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1213022300 is about 34828.4696764012. The cubic root of 1213022300 is about 1066.4887083761.

Adding to 1213022300 its reverse (32203121), we get a palindrome (1245225421).

The spelling of 1213022300 in words is "one billion, two hundred thirteen million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 59 70 92 100 115 118 140 161 175 230 236 295 322 350 413 460 575 590 644 700 805 826 1150 1180 1277 1357 1475 1610 1652 2065 2300 2554 2714 2950 3220 4025 4130 5108 5428 5900 6385 6785 8050 8260 8939 9499 10325 12770 13570 16100 17878 18998 20650 25540 27140 29371 31925 33925 35756 37996 41300 44695 47495 58742 63850 67850 75343 89390 94990 117484 127700 135700 146855 150686 178780 189980 205597 223475 237475 293710 301372 376715 411194 446950 474950 527401 587420 734275 753430 822388 893900 949900 1027985 1054802 1468550 1506860 1732889 1883575 2055970 2109604 2637005 2937100 3465778 3767150 4111940 5139925 5274010 6931556 7534300 8664445 10279850 10548020 12130223 13185025 17328890 20559700 24260446 26370050 34657780 43322225 48520892 52740100 60651115 86644450 121302230 173288900 242604460 303255575 606511150 1213022300