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122005041 = 3231819769
BaseRepresentation
bin1110100010110…
…10011000110001
322111120111110020
413101122120301
5222213130131
620034554053
73011011554
oct721323061
9274514406
10122005041
1162961214
1234a38929
131c379742
14122bc69b
15aa9e996
hex745a631

122005041 has 16 divisors (see below), whose sum is σ = 170701440. Its totient is φ = 77362560.

The previous prime is 122005019. The next prime is 122005043. The reversal of 122005041 is 140500221.

It is not a de Polignac number, because 122005041 - 27 = 122004913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122005041.

It is not an unprimeable number, because it can be changed into a prime (122005043) 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 15 ways as a sum of consecutive naturals, for example, 7605 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (10668840).

Almost surely, 2122005041 is an apocalyptic number.

It is an amenable number.

122005041 is a deficient number, since it is larger than the sum of its proper divisors (48696399).

122005041 is a wasteful number, since it uses less digits than its factorization.

122005041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 122005041 is about 11045.5892101780. The cubic root of 122005041 is about 495.9743973626.

Adding to 122005041 its reverse (140500221), we get a palindrome (262505262).

The spelling of 122005041 in words is "one hundred twenty-two million, five thousand, forty-one".

Divisors: 1 3 23 69 181 543 4163 9769 12489 29307 224687 674061 1768189 5304567 40668347 122005041