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122783085 = 32523971223
BaseRepresentation
bin1110101000110…
…00010101101101
322120001000201200
413110120111231
5222413024320
620103400113
73020432115
oct724302555
9276030650
10122783085
1163342827
1235153039
131c58c919
1412442045
15aba5290
hex751856d

122783085 has 48 divisors (see below), whose sum is σ = 224550144. Its totient is φ = 61940736.

The previous prime is 122783051. The next prime is 122783113. The reversal of 122783085 is 580387221.

It is not a de Polignac number, because 122783085 - 211 = 122781037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99784 + ... + 101006.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 2122783085 is an apocalyptic number.

122783085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122783085 is a deficient number, since it is larger than the sum of its proper divisors (101767059).

122783085 is a wasteful number, since it uses less digits than its factorization.

122783085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 122783085 is about 11080.7529076322. The cubic root of 122783085 is about 497.0264645630.

The spelling of 122783085 in words is "one hundred twenty-two million, seven hundred eighty-three thousand, eighty-five".

Divisors: 1 3 5 9 15 23 45 69 97 115 207 291 345 485 873 1035 1223 1455 2231 3669 4365 6115 6693 11007 11155 18345 20079 28129 33465 55035 84387 100395 118631 140645 253161 355893 421935 593155 1067679 1265805 1779465 2728513 5338395 8185539 13642565 24556617 40927695 122783085