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1020301425 = 32521113191669
BaseRepresentation
bin111100110100001…
…001000001110001
32122002212200102200
4330310021001301
54042144121200
6245124333413
734166263503
oct7464110161
92562780380
101020301425
11483a2a620
12245844269
131334c7870
1499713d73
155e891800
hex3cd09071

1020301425 has 144 divisors (see below), whose sum is σ = 2261313600. Its totient is φ = 432345600.

The previous prime is 1020301423. The next prime is 1020301439. The reversal of 1020301425 is 5241030201.

It is not a de Polignac number, because 1020301425 - 21 = 1020301423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020301398 and 1020301407.

It is not an unprimeable number, because it can be changed into a prime (1020301423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 610491 + ... + 612159.

Almost surely, 21020301425 is an apocalyptic number.

1020301425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020301425 is an abundant number, since it is smaller than the sum of its proper divisors (1241012175).

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

1020301425 is a wasteful number, since it uses less digits than its factorization.

1020301425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1020301425 is about 31942.1574881848. The cubic root of 1020301425 is about 1006.7218570656.

Adding to 1020301425 its reverse (5241030201), we get a palindrome (6261331626).

The spelling of 1020301425 in words is "one billion, twenty million, three hundred one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 19 25 33 39 45 55 57 65 75 95 99 117 143 165 171 195 209 225 247 275 285 325 429 475 495 585 627 715 741 825 855 975 1045 1235 1287 1425 1669 1881 2145 2223 2475 2717 2925 3135 3575 3705 4275 5007 5225 6175 6435 8151 8345 9405 10725 11115 13585 15021 15675 18359 18525 21697 24453 25035 31711 32175 40755 41725 47025 55077 55575 65091 67925 75105 91795 95133 108485 122265 125175 158555 165231 195273 203775 238667 275385 285399 325455 348821 375525 412243 458975 475665 542425 611325 716001 792775 826155 976365 1046463 1193335 1236729 1376925 1426995 1627275 1744105 2061215 2148003 2378325 3139389 3580005 3710187 4130775 4534673 4881825 5232315 5966675 6183645 7134975 8720525 10306075 10740015 13604019 15696945 17900025 18550935 22673365 26161575 30918225 40812057 53700075 68020095 78484725 92754675 113366825 204060285 340100475 1020301425