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1230042300 = 2235223892003
BaseRepresentation
bin100100101010000…
…1111010010111100
310011201112121211020
41021110033102330
510004342323200
6322020024140
742324121104
oct11124172274
93151477736
101230042300
11581365a93
122a3b32050
13167ab27a6
14b9510204
1572ec1ea0
hex4950f4bc

1230042300 has 144 divisors (see below), whose sum is σ = 3757259520. Its totient is φ = 310069760.

The previous prime is 1230042299. The next prime is 1230042301. The reversal of 1230042300 is 32400321.

It is an interprime number because it is at equal distance from previous prime (1230042299) and next prime (1230042301).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230042300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230042301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613099 + ... + 615101.

It is an arithmetic number, because the mean of its divisors is an integer number (26092080).

Almost surely, 21230042300 is an apocalyptic number.

1230042300 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 1230042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878629760).

1230042300 is an abundant number, since it is smaller than the sum of its proper divisors (2527217220).

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

1230042300 is a wasteful number, since it uses less digits than its factorization.

1230042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1230042300 is about 35071.9588845562. The cubic root of 1230042300 is about 1071.4535519255.

Adding to 1230042300 its reverse (32400321), we get a palindrome (1262442621).

The spelling of 1230042300 in words is "one billion, two hundred thirty million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 89 92 100 115 138 150 178 230 267 276 300 345 356 445 460 534 575 690 890 1068 1150 1335 1380 1725 1780 2003 2047 2225 2300 2670 3450 4006 4094 4450 5340 6009 6141 6675 6900 8012 8188 8900 10015 10235 12018 12282 13350 20030 20470 24036 24564 26700 30045 30705 40060 40940 46069 50075 51175 60090 61410 92138 100150 102350 120180 122820 138207 150225 153525 178267 184276 200300 204700 230345 276414 300450 307050 356534 460690 534801 552828 600900 614100 691035 713068 891335 921380 1069602 1151725 1382070 1782670 2139204 2303450 2674005 2764140 3455175 3565340 4100141 4456675 4606900 5348010 6910350 8200282 8913350 10696020 12300423 13370025 13820700 16400564 17826700 20500705 24600846 26740050 41001410 49201692 53480100 61502115 82002820 102503525 123004230 205007050 246008460 307510575 410014100 615021150 1230042300