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2154242125 = 53721721217
BaseRepresentation
bin1000000001100111…
…0010000001001101
312120010120211122101
42000121302001031
513402441222000
6553432515101
7104245520200
oct20031620115
95503524571
102154242125
11a06016aa2
1250154ba91
132844000a9
14166169937
15c91cde6a
hex8067204d

2154242125 has 72 divisors (see below), whose sum is σ = 3324949992. Its totient is φ = 1389158400.

The previous prime is 2154242113. The next prime is 2154242137. The reversal of 2154242125 is 5212424512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2154242113) and next prime (2154242137).

It can be written as a sum of positive squares in 12 ways, for example, as 1079648164 + 1074593961 = 32858^2 + 32781^2 .

It is not a de Polignac number, because 2154242125 - 25 = 2154242093 is a prime.

Its product of digits (6400) is a multiple of the sum of its prime factors (1280).

It is a junction number, because it is equal to n+sod(n) for n = 2154242093 and 2154242102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1769517 + ... + 1770733.

It is an arithmetic number, because the mean of its divisors is an integer number (46179861).

Almost surely, 22154242125 is an apocalyptic number.

2154242125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2154242125 is a deficient number, since it is larger than the sum of its proper divisors (1170707867).

2154242125 is a wasteful number, since it uses less digits than its factorization.

2154242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1246 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2154242125 is about 46413.8139458502. The cubic root of 2154242125 is about 1291.5111839671.

Adding to 2154242125 its reverse (5212424512), we get a palindrome (7366666637).

The spelling of 2154242125 in words is "two billion, one hundred fifty-four million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 125 175 245 289 425 595 833 875 1217 1225 1445 2023 2125 2975 4165 6085 6125 7225 8519 10115 14161 14875 20689 20825 30425 36125 42595 50575 59633 70805 103445 104125 144823 152125 212975 252875 298165 351713 354025 517225 724115 1013761 1064875 1490825 1758565 1770125 2461991 2586125 3620575 5068805 7454125 8792825 12309955 17233937 18102875 25344025 43964125 61549775 86169685 126720125 307748875 430848425 2154242125