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100001111058 = 235478295281
BaseRepresentation
bin101110100100010000…
…1111101110000010010
3100120010020201210100000
41131020201331300102
53114300241023213
6113535002510430
710140056263512
oct1351041756022
9316106653300
10100001111058
1139457024932
121746a205416
139578b0b384
144ba926d842
1529043a8c73
hex174887dc12

100001111058 has 96 divisors (see below), whose sum is σ = 229794888960. Its totient is φ = 32578951680.

The previous prime is 100001111057. The next prime is 100001111129. The reversal of 100001111058 is 850111100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100001111058.

It is not an unprimeable number, because it can be changed into a prime (100001111057) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18933378 + ... + 18938658.

It is an arithmetic number, because the mean of its divisors is an integer number (2393696760).

Almost surely, 2100001111058 is an apocalyptic number.

100001111058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001111058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114897444480).

100001111058 is an abundant number, since it is smaller than the sum of its proper divisors (129793777902).

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

100001111058 is an equidigital number, since it uses as much as digits as its factorization.

100001111058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 100001111058 its reverse (850111100001), we get a palindrome (950112211059).

The spelling of 100001111058 in words is "one hundred billion, one million, one hundred eleven thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 829 846 1269 1658 2487 2538 3807 4974 5281 7461 7614 10562 11421 14922 15843 22383 22842 31686 38963 44766 47529 67149 77926 95058 116889 134298 142587 201447 233778 248207 285174 350667 402894 427761 496414 701334 744621 855522 1052001 1283283 1489242 2104002 2233863 2566566 3156003 4377949 4467726 6312006 6701589 8755898 9468009 13133847 13403178 18936018 20104767 26267694 39401541 40209534 60314301 78803082 118204623 120628602 205763603 236409246 354613869 411527206 617290809 709227738 1063841607 1234581618 1851872427 2127683214 3703744854 5555617281 11111234562 16666851843 33333703686 50000555529 100001111058