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1110040100 = 2252131396143
BaseRepresentation
bin100001000101001…
…1101111000100100
32212100201212202022
41002022131320210
54233132240400
6302052002312
736336120341
oct10212357044
92770655668
101110040100
1151a652614
1226b900398
13148c87880
14a75d37c8
15676bab85
hex4229de24

1110040100 has 72 divisors (see below), whose sum is σ = 2613166080. Its totient is φ = 406846080.

The previous prime is 1110040093. The next prime is 1110040123. The reversal of 1110040100 is 10400111.

It is a super-3 number, since 3×11100401003 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 177629 + ... + 183771.

Almost surely, 21110040100 is an apocalyptic number.

1110040100 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 1110040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306583040).

1110040100 is an abundant number, since it is smaller than the sum of its proper divisors (1503125980).

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

1110040100 is a wasteful number, since it uses less digits than its factorization.

1110040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1110040100 is about 33317.2642934560. The cubic root of 1110040100 is about 1035.4112736142.

Adding to 1110040100 its reverse (10400111), we get a palindrome (1120440211).

The spelling of 1110040100 in words is "one billion, one hundred ten million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 139 260 278 325 556 650 695 1300 1390 1807 2780 3475 3614 6143 6950 7228 9035 12286 13900 18070 24572 30715 36140 45175 61430 79859 90350 122860 153575 159718 180700 307150 319436 399295 614300 798590 853877 1597180 1707754 1996475 3415508 3992950 4269385 7985900 8538770 11100401 17077540 21346925 22200802 42693850 44401604 55502005 85387700 111004010 222008020 277510025 555020050 1110040100