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111000001060 = 22513239782721
BaseRepresentation
bin110011101100000011…
…1011001101000100100
3101121111210002021221101
41213120013121220210
53304312000013220
6122554231125444
711006453304304
oct1473007315044
9347453067841
10111000001060
1143090674773
1219619813884
13a60c737700
14552dd31604
152d49cc930a
hex19d81d9a24

111000001060 has 72 divisors (see below), whose sum is σ = 253048914216. Its totient is φ = 40880885760.

The previous prime is 111000001043. The next prime is 111000001081. The reversal of 111000001060 is 60100000111.

It can be written as a sum of positive squares in 12 ways, for example, as 74975201856 + 36024799204 = 273816^2 + 189802^2 .

It is a super-2 number, since 2×1110000010602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300500 + ... + 1383220.

It is an arithmetic number, because the mean of its divisors is an integer number (3514568253).

Almost surely, 2111000001060 is an apocalyptic number.

111000001060 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 111000001060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126524457108).

111000001060 is an abundant number, since it is smaller than the sum of its proper divisors (142048913156).

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

111000001060 is a wasteful number, since it uses less digits than its factorization.

111000001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83153 (or 83138 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 111000001060 its reverse (60100000111), we get a palindrome (171100001171).

The spelling of 111000001060 in words is "one hundred eleven billion, one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 397 676 794 845 1588 1690 1985 3380 3970 5161 7940 10322 20644 25805 51610 67093 82721 103220 134186 165442 268372 330884 335465 413605 670930 827210 1075373 1341860 1654420 2150746 4301492 5376865 10753730 13979849 21507460 27959698 32840237 55919396 65680474 69899245 131360948 139798490 164201185 279596980 328402370 426923081 656804740 853846162 1707692324 2134615405 4269230810 5550000053 8538461620 11100000106 22200000212 27750000265 55500000530 111000001060