Search a number
-
+
122265022350023 = 71931359540715277
BaseRepresentation
bin11011110011001100001011…
…001110011100001011000111
3121000220102101121221012011222
4123303030023032130023013
5112011142231210200043
61112011435330350555
734516233142405640
oct3363141316341307
9530812347835158
10122265022350023
1135a59339746153
121186794472b45b
13532b7080c2c27
1422299314d26c7
15e205d91c8d68
hex6f330b39c2c7

122265022350023 has 64 divisors (see below), whose sum is σ = 152291495116800. Its totient is φ = 95788578395520.

The previous prime is 122265022350019. The next prime is 122265022350071. The reversal of 122265022350023 is 320053220562221.

It is a happy number.

It is not a de Polignac number, because 122265022350023 - 22 = 122265022350019 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122265022350623) 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, 8003201261 + ... + 8003216537.

It is an arithmetic number, because the mean of its divisors is an integer number (2379554611200).

Almost surely, 2122265022350023 is an apocalyptic number.

122265022350023 is a deficient number, since it is larger than the sum of its proper divisors (30026472766777).

122265022350023 is a wasteful number, since it uses less digits than its factorization.

122265022350023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100.

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 122265022350023 in words is "one hundred twenty-two trillion, two hundred sixty-five billion, twenty-two million, three hundred fifty thousand, twenty-three".

Divisors: 1 7 19 31 133 217 359 589 2513 4123 5407 6821 11129 15277 37849 47747 77903 102733 106939 167617 211451 290263 473587 719131 1173319 1480157 1941113 2031841 3184723 3315109 5484443 8998153 13587791 22293061 36881147 38391101 60174503 62987071 82602739 104204417 170017733 258168029 421221521 578219173 729430919 1143315557 1190124131 1569452041 2560684909 3230336927 8003208899 10986164287 17924794363 22612358489 29654383301 48653013271 207580683107 340571092897 563433282719 919285882331 3944032979033 6435001176317 17466431764289 122265022350023