Search a number
-
+
103225115105 = 57192114331699
BaseRepresentation
bin110000000100010110…
…0100100000111100001
3100212102221021011110022
41200020230210013201
53142401112140410
6115230532243225
710313005000310
oct1401054440741
9325387234408
10103225115105
113a860982892
1218009a70515
139970a32988
144dd3506277
152a42449455
hex1808b241e1

103225115105 has 64 divisors (see below), whose sum is σ = 150157056000. Its totient is φ = 66546385920.

The previous prime is 103225115099. The next prime is 103225115107. The reversal of 103225115105 is 501511522301.

It is not a de Polignac number, because 103225115105 - 24 = 103225115089 is a prime.

It is a super-2 number, since 2×1032251151052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103225115107) 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 63 ways as a sum of consecutive naturals, for example, 60755546 + ... + 60757244.

It is an arithmetic number, because the mean of its divisors is an integer number (2346204000).

Almost surely, 2103225115105 is an apocalyptic number.

It is an amenable number.

103225115105 is a deficient number, since it is larger than the sum of its proper divisors (46931940895).

103225115105 is a wasteful number, since it uses less digits than its factorization.

103225115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374.

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 103225115105 its reverse (501511522301), we get a palindrome (604736637406).

The spelling of 103225115105 in words is "one hundred three billion, two hundred twenty-five million, one hundred fifteen thousand, one hundred five".

Divisors: 1 5 7 19 35 95 133 211 433 665 1055 1477 1699 2165 3031 4009 7385 8227 8495 11893 15155 20045 28063 32281 41135 57589 59465 91363 140315 161405 225967 287945 358489 456815 639541 735667 1129835 1735897 1792445 2509423 3197705 3678335 5149669 6811291 8679485 12151279 12547115 13977673 25748345 34056455 47679037 60756395 69888365 97843711 155225737 238395185 489218555 776128685 1086580159 2949289003 5432900795 14746445015 20645023021 103225115105