Search a number
-
+
105115022140353 = 31319292339123091
BaseRepresentation
bin10111111001100111111111…
…100011100010001111000001
3111210011220020121212210111020
4113321213333203202033001
5102234201031131442403
61011321101410540053
731066211145024441
oct2771477743421701
9453156217783436
10105115022140353
1130547037723165
12b957bb4297629
1346863c5018394
141bd5846764121
15c24439e65453
hex5f99ff8e23c1

105115022140353 has 32 divisors (see below), whose sum is σ = 141436843891200. Its totient is φ = 69436624857600.

The previous prime is 105115022140339. The next prime is 105115022140361. The reversal of 105115022140353 is 353041220511501.

It is not a de Polignac number, because 105115022140353 - 210 = 105115022139329 is a prime.

It is a super-2 number, since 2×1051150221403532 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105115022140553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853900338 + ... + 854023428.

It is an arithmetic number, because the mean of its divisors is an integer number (4419901371600).

Almost surely, 2105115022140353 is an apocalyptic number.

It is an amenable number.

105115022140353 is a deficient number, since it is larger than the sum of its proper divisors (36321821750847).

105115022140353 is a wasteful number, since it uses less digits than its factorization.

105115022140353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126493.

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 105115022140353 its reverse (353041220511501), we get a palindrome (458156242651854).

The spelling of 105115022140353 in words is "one hundred five trillion, one hundred fifteen billion, twenty-two million, one hundred forty thousand, three hundred fifty-three".

Divisors: 1 3 131 393 929 2339 2787 7017 121699 123091 306409 365097 369273 919227 2172931 6518793 16124921 48374763 114351539 284653961 287909849 343054617 853961883 863729547 14980051609 37716190219 44940154827 113148570657 267468249721 802404749163 35038340713451 105115022140353