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1022250241125 = 325317341315661
BaseRepresentation
bin11101110000000101101…
…11001100110001100101
310121201121101011210020200
432320002313030301211
5113222032030204000
62101340522221113
7133566212452461
oct16700267146145
93551541153220
101022250241125
1136459667a423
12146151654799
1375522c15ba9
14376975274a1
151b8ced25500
hexee02dccc65

1022250241125 has 96 divisors (see below), whose sum is σ = 1951871362272. Its totient is φ = 512946432000.

The previous prime is 1022250241109. The next prime is 1022250241141. The reversal of 1022250241125 is 5211420522201.

1022250241125 is a `hidden beast` number, since 1 + 0 + 2 + 225 + 0 + 2 + 411 + 25 = 666.

1022250241125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022250241109) and next prime (1022250241141).

It can be written as a sum of positive squares in 16 ways, for example, as 54590453316 + 967659787809 = 233646^2 + 983697^2 .

It is not a de Polignac number, because 1022250241125 - 24 = 1022250241109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65265795 + ... + 65281455.

It is an arithmetic number, because the mean of its divisors is an integer number (20331993357).

Almost surely, 21022250241125 is an apocalyptic number.

1022250241125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022250241125 is a deficient number, since it is larger than the sum of its proper divisors (929621121147).

1022250241125 is a wasteful number, since it uses less digits than its factorization.

1022250241125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19112 (or 19099 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1022250241125 its reverse (5211420522201), we get a palindrome (6233670763326).

The spelling of 1022250241125 in words is "one trillion, twenty-two billion, two hundred fifty million, two hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3413 3825 6375 10239 15661 17065 19125 30717 46983 51195 58021 78305 85325 140949 153585 174063 234915 255975 266237 290105 391525 426625 522189 704745 767925 798711 870315 1174575 1279875 1331185 1450525 1957625 2396133 2610945 3523725 3839625 3993555 4351575 5872875 6655925 7252625 11980665 13054725 17618625 19967775 21757875 33279625 53450993 59903325 65273625 99838875 160352979 267254965 299516625 481058937 801764895 908666881 1336274825 2405294685 2726000643 4008824475 4543334405 6681374125 8178001929 12026473425 13630003215 20044122375 22716672025 40890009645 60132367125 68150016075 113583360125 204450048225 340750080375 1022250241125