Search a number
-
+
111354544520 = 23529293327629
BaseRepresentation
bin110011110110100111…
…1111000000110001000
3101122102111012222010122
41213231033320012020
53311023230411040
6123053334202412
711021320003562
oct1475517700610
9348374188118
10111354544520
114325281249a
12196b84b3408
13a66802193b
145565062332
152d6aeae1b5
hex19ed3f8188

111354544520 has 64 divisors (see below), whose sum is σ = 260072694000. Its totient is φ = 42858984448.

The previous prime is 111354544517. The next prime is 111354544523. The reversal of 111354544520 is 25445453111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111354544517) and next prime (111354544523).

It can be written as a sum of positive squares in 8 ways, for example, as 67650969604 + 43703574916 = 260098^2 + 209054^2 .

It is a super-3 number, since 3×1113545445203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (111354544523) 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 15 ways as a sum of consecutive naturals, for example, 176066 + ... + 503694.

Almost surely, 2111354544520 is an apocalyptic number.

111354544520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111354544520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130036347000).

111354544520 is an abundant number, since it is smaller than the sum of its proper divisors (148718149480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111354544520 is a wasteful number, since it uses less digits than its factorization.

111354544520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327962 (or 327958 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 111354544520 its reverse (25445453111), we get a palindrome (136799997631).

The spelling of 111354544520 in words is "one hundred eleven billion, three hundred fifty-four million, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 293 580 586 1160 1172 1465 2344 2930 5860 8497 11720 16994 33988 42485 67976 84970 169940 327629 339880 655258 1310516 1638145 2621032 3276290 6552580 9501241 13105160 19002482 38004964 47506205 76009928 95012410 95995297 190024820 191990594 380049640 383981188 479976485 767962376 959952970 1919905940 2783863613 3839811880 5567727226 11135454452 13919318065 22270908904 27838636130 55677272260 111354544520