Search a number
-
+
1112000121100 = 2252117934736877
BaseRepresentation
bin10000001011101000010…
…111110100100100001100
310221022021012102002012101
4100023220113310210030
5121204334012333400
62210502405444444
7143224254034231
oct20135027644414
93838235362171
101112000121100
11399662095650
1215b61a710724
1380b26c82c4b
143bb6d117788
151ddd424756a
hex102e85f490c

1112000121100 has 144 divisors (see below), whose sum is σ = 2673483886080. Its totient is φ = 398083795200.

The previous prime is 1112000121091. The next prime is 1112000121101. The reversal of 1112000121100 is 11210002111.

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

It is not an unprimeable number, because it can be changed into a prime (1112000121101) 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, 30135862 + ... + 30172738.

It is an arithmetic number, because the mean of its divisors is an integer number (18565860320).

Almost surely, 21112000121100 is an apocalyptic number.

1112000121100 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 1112000121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336741943040).

1112000121100 is an abundant number, since it is smaller than the sum of its proper divisors (1561483764980).

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

1112000121100 is a wasteful number, since it uses less digits than its factorization.

1112000121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37328 (or 37321 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1112000121100 its reverse (11210002111), we get a palindrome (1123210123211).

The spelling of 1112000121100 in words is "one trillion, one hundred twelve billion, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 347 395 550 694 790 869 1100 1388 1580 1735 1738 1975 3470 3476 3817 3950 4345 6940 7634 7900 8675 8690 15268 17350 17380 19085 21725 27413 34700 36877 38170 43450 54826 73754 76340 86900 95425 109652 137065 147508 184385 190850 274130 301543 368770 381700 405647 548260 603086 685325 737540 811294 921925 1206172 1370650 1507715 1622588 1843850 2028235 2741300 2913283 3015430 3687700 4056470 5826566 6030860 7538575 8112940 10141175 11653132 12796319 14566415 15077150 20282350 25592638 29132830 30154300 32046113 40564700 51185276 58265660 63981595 64092226 72832075 127963190 128184452 140759509 145664150 160230565 255926380 281519018 291328300 319907975 320461130 563038036 639815950 640922260 703797545 801152825 1010909201 1279631900 1407595090 1602305650 2021818402 2815190180 3204611300 3518987725 4043636804 5054546005 7037975450 10109092010 11120001211 14075950900 20218184020 22240002422 25272730025 44480004844 50545460050 55600006055 101090920100 111200012110 222400024220 278000030275 556000060550 1112000121100