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1023325203225 = 3521337157180679
BaseRepresentation
bin11101110010000101110…
…11110110101100011001
310121211101021220112000210
432321002323312230121
5113231232223000400
62102035322321333
7133634644464663
oct16710273665431
93554337815023
101023325203225
11364a98443356
121463b1659249
137566483b340
143775a1c9533
151b9443b2950
hexee42ef6b19

1023325203225 has 96 divisors (see below), whose sum is σ = 1883217521920. Its totient is φ = 487050071040.

The previous prime is 1023325203209. The next prime is 1023325203227. The reversal of 1023325203225 is 5223025233201.

It is not a de Polignac number, because 1023325203225 - 24 = 1023325203209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023325203192 and 1023325203201.

It is not an unprimeable number, because it can be changed into a prime (1023325203227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5573436 + ... + 5754114.

Almost surely, 21023325203225 is an apocalyptic number.

1023325203225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023325203225 is a deficient number, since it is larger than the sum of its proper divisors (859892318695).

1023325203225 is a wasteful number, since it uses less digits than its factorization.

1023325203225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180899 (or 180894 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 1023325203225 in words is "one trillion, twenty-three billion, three hundred twenty-five million, two hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 37 39 65 75 111 157 185 195 325 471 481 555 785 925 975 1443 2041 2355 2405 2775 3925 5809 6123 7215 10205 11775 12025 17427 29045 30615 36075 51025 75517 87135 145225 153075 180679 226551 377585 435675 542037 903395 1132755 1887925 2348827 2710185 4516975 5663775 6685123 7046481 11744135 13550925 20055369 28366603 33425615 35232405 58720675 85099809 86906599 100276845 141833015 167128075 176162025 260719797 368765839 425499045 434532995 501384225 709165075 1049564311 1106297517 1303598985 1843829195 2127495225 2172664975 3148692933 5247821555 5531487585 6517994925 9219145975 13644336043 15743464665 26239107775 27657437925 40933008129 68221680215 78717323325 204665040645 341108401075 1023325203225