Search a number
-
+
122073010017 = 3737179877699
BaseRepresentation
bin111000110110000011…
…1100100111101100001
3102200002110220102122020
41301230013210331201
54000001142310032
6132025104132053
711551040315250
oct1615407447541
9380073812566
10122073010017
1147853039242
121b7aa007029
13b68581530a
145ca07a8797
153296e8ab2c
hex1c6c1e4f61

122073010017 has 32 divisors (see below), whose sum is σ = 192110976000. Its totient is φ = 67491465408.

The previous prime is 122073010013. The next prime is 122073010021. The reversal of 122073010017 is 710010370221.

It is an interprime number because it is at equal distance from previous prime (122073010013) and next prime (122073010021).

It is not a de Polignac number, because 122073010017 - 22 = 122073010013 is a prime.

It is a super-2 number, since 2×1220730100172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122073010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299767 + ... + 577932.

It is an arithmetic number, because the mean of its divisors is an integer number (6003468000).

Almost surely, 2122073010017 is an apocalyptic number.

It is an amenable number.

122073010017 is a deficient number, since it is larger than the sum of its proper divisors (70037965983).

122073010017 is a wasteful number, since it uses less digits than its factorization.

122073010017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877925.

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 122073010017 its reverse (710010370221), we get a palindrome (832083380238).

The spelling of 122073010017 in words is "one hundred twenty-two billion, seventy-three million, ten thousand, seventeen".

Divisors: 1 3 7 21 37 111 179 259 537 777 1253 3759 6623 19869 46361 139083 877699 2633097 6143893 18431679 32474863 97424589 157108121 227324041 471324363 681972123 1099756847 3299270541 5813000477 17439001431 40691003339 122073010017