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122790129 = 3721175937
BaseRepresentation
bin1110101000110…
…10000011110001
322120001101101120
413110122003301
5222413241004
620103452453
73020461500
oct724320361
9276041346
10122790129
1163348050
1235157129
131c592ba7
1412444837
15aba73d9
hex751a0f1

122790129 has 24 divisors (see below), whose sum is σ = 207766368. Its totient is φ = 63786240.

The previous prime is 122790127. The next prime is 122790139. The reversal of 122790129 is 921097221.

It is not a de Polignac number, because 122790129 - 21 = 122790127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 122790129.

It is not an unprimeable number, because it can be changed into a prime (122790127) 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 23 ways as a sum of consecutive naturals, for example, 36352 + ... + 39585.

It is an arithmetic number, because the mean of its divisors is an integer number (8656932).

Almost surely, 2122790129 is an apocalyptic number.

It is an amenable number.

122790129 is a deficient number, since it is larger than the sum of its proper divisors (84976239).

122790129 is a wasteful number, since it uses less digits than its factorization.

122790129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75965 (or 75958 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 122790129 is about 11081.0707515113. The cubic root of 122790129 is about 497.0359690955.

The spelling of 122790129 in words is "one hundred twenty-two million, seven hundred ninety thousand, one hundred twenty-nine".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 75937 227811 531559 835307 1594677 2505921 3720913 5847149 11162739 17541447 40930043 122790129