Search a number
-
+
122415105504055 = 57131132428198057
BaseRepresentation
bin11011110101010111111100…
…111000001111001100110111
3121001102202210011212100221111
4123311113330320033030313
5112021122114002112210
61112204420105255451
734533125301230530
oct3365277470171467
9531382704770844
10122415105504055
1136006a5577a141
1211890a4b194587
13533c905968250
142232ccbd2b687
15e2447023188a
hex6f55fce0f337

122415105504055 has 64 divisors (see below), whose sum is σ = 182407046024448. Its totient is φ = 76795074478080.

The previous prime is 122415105504031. The next prime is 122415105504059. The reversal of 122415105504055 is 550405501514221.

It is not a de Polignac number, because 122415105504055 - 29 = 122415105503543 is a prime.

It is a super-3 number, since 3×1224151055040553 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122415105503999 and 122415105504017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122415105504059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1248358587 + ... + 1248456643.

It is an arithmetic number, because the mean of its divisors is an integer number (2850110094132).

Almost surely, 2122415105504055 is an apocalyptic number.

122415105504055 is a deficient number, since it is larger than the sum of its proper divisors (59991940520393).

122415105504055 is a wasteful number, since it uses less digits than its factorization.

122415105504055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122476.

The product of its (nonzero) digits is 200000, while the sum is 40.

The spelling of 122415105504055 in words is "one hundred twenty-two trillion, four hundred fifteen billion, one hundred five million, five hundred four thousand, fifty-five".

Divisors: 1 5 7 13 35 65 91 113 455 565 791 1469 3955 7345 10283 24281 51415 98057 121405 169967 315653 490285 686399 849835 1274741 1578265 2209571 2743753 3431995 6373705 8923187 11047855 11080441 13718765 19206271 35668789 44615935 55402205 77563087 96031355 144045733 178343945 249681523 387815435 720228665 1008320131 1248407615 2380922017 5041600655 11904610085 16666454119 30951986221 83332270595 154759931105 216663903547 269044187921 1083319517735 1345220939605 1883309315447 3497574442973 9416546577235 17487872214865 24483021100811 122415105504055