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423120101300 = 2252139723314401
BaseRepresentation
bin1100010100000111110…
…11000101111110110100
31111110010222010012120222
412022003323011332310
523413022221220200
6522213444113512
742366211343111
oct6120373057664
91443128105528
10423120101300
111534982a2736
126a006095898
1330b9155b560
141669c9d5908
15b01652dd85
hex6283ec5fb4

423120101300 has 144 divisors (see below), whose sum is σ = 1003350125232. Its totient is φ = 153944064000.

The previous prime is 423120101297. The next prime is 423120101303. The reversal of 423120101300 is 3101021324.

It is an interprime number because it is at equal distance from previous prime (423120101297) and next prime (423120101303).

It can be written as a sum of positive squares in 24 ways, for example, as 268933513744 + 154186587556 = 518588^2 + 392666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423120101303) 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, 29374100 + ... + 29388500.

It is an arithmetic number, because the mean of its divisors is an integer number (6967709203).

Almost surely, 2423120101300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423120101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501675062616).

423120101300 is an abundant number, since it is smaller than the sum of its proper divisors (580230023932).

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

423120101300 is a wasteful number, since it uses less digits than its factorization.

423120101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 423120101300 its reverse (3101021324), we get a palindrome (426221122624).

The spelling of 423120101300 in words is "four hundred twenty-three billion, one hundred twenty million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 233 260 325 388 466 485 650 932 970 1165 1261 1300 1940 2330 2425 2522 3029 4660 4850 5044 5825 6058 6305 9700 11650 12116 12610 14401 15145 22601 23300 25220 28802 30290 31525 45202 57604 60580 63050 72005 75725 90404 113005 126100 144010 151450 187213 226010 288020 293813 302900 360025 374426 452020 565025 587626 720050 748852 936065 1130050 1175252 1396897 1440100 1469065 1872130 2260100 2793794 2938130 3355433 3744260 4680325 5587588 5876260 6710866 6984485 7345325 9360650 13421732 13968970 14690650 16777165 18159661 18721300 27937940 29381300 33554330 34922425 36319322 43620629 67108660 69844850 72638644 83885825 87241258 90798305 139689700 167771650 174482516 181596610 218103145 325477001 335543300 363193220 436206290 453991525 650954002 872412580 907983050 1090515725 1301908004 1627385005 1815966100 2181031450 3254770010 4231201013 4362062900 6509540020 8136925025 8462402026 16273850050 16924804052 21156005065 32547700100 42312010130 84624020260 105780025325 211560050650 423120101300